Answer: $1150
Step-by-step explanation:
\(p +\frac{1p}{2} =1750\)
\(\frac{2p}{2} +\frac{1p}{2} =1750\)
\(\frac{3p}{2} =1750\)
\(3p = 3450\\\)
\(p = 1150\)
I’m stuck on this question
Answer:
312
Step-by-step explanation:
Add the area of each face together
Don't forget the units!
Step-by-step explanation:To find the surface aria, you use the 3 numbers to find the aria of each surface, then add up all the numbers you found.
Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.
We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).
We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.
36+24+96=156.
156x2=312.
This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.
When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.
I encourage you to let me know if this method works for you! I hope this helps!
need help with homework plz and thank u :)
Answer:
For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0
2x+10x=12x
12x+16 will be your final answer
Step-by-step explanation:
1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
Tell me pls but pls no files
Answer:
I think its A
Step-by-step explanation:
In a certain high school, 240 students made the honor roll
could you finish the question? we cannot help you if we don't get the full question!
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.
Answer:
\(\sf (x+2)^2+(y-2)^2=2\)
Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.
\(\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)\)
\(\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)\)
\(\sf =(-2, 2)\)
Equation of a circle: \(\sf (x-h)^2+(y-k)^2=r^2\)
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:
\(\sf \implies (x-(-2))^2+(y-2)^2=r^2\)
\(\sf \implies (x+2)^2+(y-2)^2=r^2\)
To find \(\sf r^2\), simply substitute one of the points into the equation and solve:
\(\sf \implies (-3+2)^2+(1-2)^2=r^2\)
\(\sf \implies 1+1=r^2\)
\(\sf \implies r^2=2\)
Therefore, the equation of the circle is:
\(\sf (x+2)^2+(y-2)^2=2\)
write an equivalent expression without negative exponent for 5 to the negative 4th power
Hi! I'm happy to help!
To solve this problem, we need to first solve \(5^{-4}\).
Negative exponents divide the number by x instead of multiplying. So, \(5^{-4}\) is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is \(\frac{1}{5}\), and put this to the fourth power. \(\frac{1}{5} ^{4}\)
This expression also equals 1/625.
I hope this was helpful, and keep learning! :D
Hi can someone please help me solve the following system of inequalities and state the coordinates in the solution setz
The graph of the system of the inequalities is attached.
To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.
Let's begin with the equation y = -x - 4:
Choose a range of x-values to plot.
For simplicity, let's use x-values from -10 to 10.
Substitute different x-values into the equation to find corresponding y-values.
For example:
When x = -10, y = -(-10) - 4 = 10 - 4 = 6.
When x = 0, y = -(0) - 4 = -4.
When x = 10, y = -(10) - 4 = -10 - 4 = -14.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = -x - 4.
Next, let's graph the equation y = (3/5)x + 4:
Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.
Substitute different x-values into the equation to find corresponding y-values. For example:
When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.
When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.
When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = (3/5)x + 4.
Now, let's shade the regions based on the inequalities:
For y < -x - 4, we need to shade the region below the line y = -x - 4.
For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.
Hence, the region where the shaded regions overlap represents the solution to both inequalities.
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HELP! can anyone help? I’ll give Brainly :) the answer is not 2,200
Answer:
2000
Step-by-step explanation:
Basically you know that 2000 is within the margin of 10001-50000, so the tax rate is 5%. From here we can multiply 40000 (the starting value) and multiply it by 0.05 (which is 5% as a decimal), so it calculates out to 2000!! Good luck :)
Answer:
The state income tax owned of a $40,000 per year salary with the given data would be, $1800.
Therefore, the answer you are looking for is {1,800}
Can you please help me
Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
\(cos(26^o)= \frac{adjacent}{hypotenuse} \\cos(26^o)= \frac{p}{4.5}\\p= 4.5 *cos(26^o)\\p=4.0445\)
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
\(sin(26^o)= \frac{opposite}{hypotenuse} \\sin(26^o)= \frac{q}{4.5}\\q= 4.5 *sin(26^o)\\q=1.9726\)
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees
If f(x) is a function which is continuous everywhere then we must have m= ?
The function is continuous only if m = 7.
How to find the value of m?If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2
That means that:
f(-2) = f(-2) (trivially)
Replacing the two pieces of the function we will get:
m*(-2) - 6 = (-2)^2 + 10*(-2) - 4
now we can solve that equation for m.
-2m - 6 = 4 -20 - 4
-2m = -20 + 6 = -14
m = -14/-2 = 7
m = 7
that is the value of m.
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Help me for 100 points yessir thanks you
Answer:
Step-by-step explanation:
Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.
How the largest ratio is determined:The ratio refers to the relative size of one quantity compared to another.
The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction. We can also express the ratio in its standard form (:).
Given Sum of Equivalent
Ratio Ratios Ratios
5/36 36 13.89% or 0.1389
2:9 11 18.18% or 0.1818
3 to 18 21 14.28% or 0.14.28
1:3 4 25% or 0.25
Thus, we can conclude that 1:3 is the largest ratio amont the others.
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The distance between City A and City B is 2700 miles. On a certain wall map, this distance is represented by 9 inches. The actual distance between City C and City D is 4100 miles. How far apart are they on the same map?
The distance between City C and City D is represented by 13.67 inches on a certain wall map.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Let x inches would be far apart are they on the same map
We can write this as a ratio as
As per the given information,
9 inches : 2700 miles = x inches : 4100 miles
⇒ 9/2700 = x/4100
⇒ x = (4100×9)/2700
⇒ x = 13.67 inches
Therefore, on a certain wall map, the distance between City C and City D is represented by 13.67 inches.
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please help thank you!!
Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.
Determine tanθ using the sum formulaThe identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.
Here, we have θ = 11π/12, so we need to express it as the sum of two angles.
In this problem, we are given θ = 11π/12 and we can use the sum of two angles.
11π/12 = π/6 + 5π/6
putting the value of α = π/6 and β = 5π/6.
The sum formula of the tangent becomes;
tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)
Let's put in the values of α and β:
tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))
The tangent of π/6 and 5π/6 will have values as;
tan(π/6) = √3/3
tan(5π/6) = -√3/3
Let's put in these values into the sum formula;
tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))
tan(11π/12) = 0 / (1 - (-3/9))
= 0 / (1 + 1/3)
= 0 / (4/3)
= 0
Therefore, tan(11π/12) = 0.
Part B;
Using difference formula, the value of cosθ can be expressed using the trigonometric identity
cos(α - β) = cosα * cosβ + sinα * sinβ
Since we are given θ = 11π/12;
Let's express this as the difference of two angles
11π/12 = 3π/4 - π/6
Putting the value α = 3π/4 and β = π/6.
Using the difference formula for cosine;
cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ
Let's plug in the values of α and β
cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)
The known values of cosine and sine for 3π/4 and π/6 are;
cos(3π/4) = -√2/2
cos(π/6) = √3/2
sin(3π/4) = √2/2
sin(π/6) = 1/2
Plugging these values into the difference formula;
cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)
cos(11π/12) = -√6/4 + √2/4
Combining like terms:
cos(11π/12) = (-√6 + √2) / 4
Therefore, cos(11π/12) = (-√6 + √2) / 4.
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Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
What are the denominators of the fractions?
Answer:
2 and 10
Step-by-step explanation:
what is 4x+3y-x-4y? please help-
Answer:
3x-1y
Step-by-step explanation:
i think that Is that
Answer:
what is 4x+3y-x-4y?
Simplify the expression.
Final answer: 4x+3y-x-4y = 3x-y
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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if x is directly proportional to y³ and x = 32 when y = 8,
i) find an equation connecting x & y
ii) find the values of x when y = 6
iii) find the value of y when x = 108
Quick pls!!
Answer:
i) x = ky³
ii) 13.5
iii) 12
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.
Let's assume the original price of an item is $100.
The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.
The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.
Therefore, the final price you end up paying after both discounts is $22.50.\
To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:
Percent of original price = (final price / original price) * 100
In this case, the final price is $22.50 and the original price is $100:
Percent of original price = ($22.50 / $100) * 100
= 0.225 * 100
= 22.5%
Therefore, you end up paying 22.5% of the original price after the discounts.
It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.
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Which is the graph of g(x)=[x+3
The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.
To understand how to plot the graph, let's consider a few points on the line.
We can choose any values for x and calculate the corresponding values for g(x).
Let's start with x = 0.
Substituting this value into the function, we get g(0) = 0 + 3 = 3.
So, the point (0, 3) is on the graph.
Next, let's choose x = 1.
Substituting this value into the function, we get g(1) = 1 + 3 = 4.
This gives us another point on the line, (1, 4).
Similarly, we can choose more values for x and calculate the corresponding values for g(x).
For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).
By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.
The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.
Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.
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1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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Kira is a software saleswoman. Her base salary is $1600, and she makes an additional $60 for every copy of "English is Fun" she sells. Let P represent her total pay (in dollars), and let N represent the number of of copies of "English of Fun" she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 29 copies of "English is Fun". Equation - Total pay if Lira sells 29 copies -
Answer:
P = 1600 + 60N; $3,340
Step-by-step explanation:
Since we know she gets $1,600 as a base, and $60 each book, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!
Answer:
$3340
Step-by-step explanation:
P = $1600 (Lira's base salary) + $60 * N
P = $1600 + $60 * 29
P = $1600 + $ 1740
Therefore, P = $3340.
I need to determine the perimeter of this rectangle 5cm x 9cm
P= cm
A=cm
Answer:
5+5+9+9 = 28 cm
Step-by-step explanation:
to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)
Thomas finished the 200-meter race in 25.7 seconds while Mikah finished in 28.1 seconds. How much faster did Thomas run the race than Mikah?
Answer:
2.4 seconds
Step-by-step explanation:
We can use subtraction to solve this problem.
28.1 - 25.7 = 2.4 seconds
[] Fun Fact: For men, the world record in the 200-meter dash is by Usain Bolt with a time of 19.30 seconds
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Solve for the missing variable. Round to the nearest tenth.
Answer:
x = 4y ≈ 10.8Step-by-step explanation:
In this geometry, the triangles are similar. That means corresponding sides are proportional:
short side/long side = x/10 = 10/25
x = 100/25 = 4 . . . . multiply by 10
__
hypotenuse/short side = y/x = (x+25)/y
y² = 4(29) = 116 . . . . . use 4 for x; cross multiply
y = √116 ≈ 10.8
use the quadratic equation 2ax^2+9-4x=px-k to answer questions below
a) express the equation above in the form ax^2+bx+c=0
b) what is the value of k, if c=5
We can rewrite the quadratic equation as.
2ax^2 + (-4 - p)x + (9 - k) = 0
and if c = 5, then k =4
How to rewrite the quadratic equation?We start with the quadratic equation:
2ax^2 + 9 - 4x = px - k
We move all the terms to the left:
2ax^2 + 9 - 4x - px - k = 0
Now we group like terms:
2ax^2 + (-4 - p)x + (9 - k) = 0
That is the equation written in standard form.
b) if c = 5, then we have:
(9 - k) = c = 5
We can solve that equation for k.
9 - k = 5
9 - 5 = k
4 = k
That is the value of k.
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