Answer:
The equation of a line can be expressed in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept.
We know that the slope of the line is -1, and that the line passes through the point (4, -6).
Substituting these values into the slope-intercept form of the equation, we get:
-6 = (-1)(4) + b
Simplifying this equation, we get:
-6 = -4 + b
Adding 4 to both sides, we get:
-2 = b
So the y-intercept of the line is -2, and the equation of the line in slope-intercept form is:
y = -x - 2
Alternatively, we could use the point-slope form of the equation of a line, which states that the equation of a line passing through the point (x1, y1) with slope m is given by:
y - y1 = m(x - x1)
Substituting the values of the point and slope, we get:
y - (-6) = -1(x - 4)
Simplifying this equation, we get:
y + 6 = -x + 4
Subtracting 6 from both sides, we get:
y = -x - 2
So we get the same equation as before.
A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.
The answer is 7.
To prove whether this is correct or not, just test it with the given conditions,
7x4+4=46.
Does 2x23=46?
Yes.
So, therefore,
The answer is 7.
Answer:
x=13
Step-by-step explanation:
6x+4=82
6x=78
Can anyone help me? It's hard for me to solve this problem
*Debt payments of $2,100 and $1,950 are due in six months and nine months, respectively. What single payment is required to settle both debts in one month? Assume a simple interest rate of 6.30% p.a. and use one month from now as the focal date.
The required single payment is required to settle both debts in one month is $4071.26.
What is Simple interest?Simple interest is the amount of interest charged on a specific pripal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
According to question:We have,
Interest of 12 month = 6.30%
For one month = 6.30/12
= 0.525% per month
Total debt = $2,100 + $1,950
Total debt = $4050
Interest of one month = 0.525% of $4050
= $21.26
Net debt = $4050 + $21.26.
Thus, required single payment is required to settle both debts in one month is $4071.26.
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12 intr-un depozit sunt 968 tone de cereale: grau, orz și porumb. Cantitatea de orz este cu
19 tone mai mare decat jumătatea cantității de grau, iar porumb este cu 58 tone mai
mult decât orz Cáte tone de grâu, câte de orz și câte de porumb sunt în depozit? METODA GRAFICA PLS RAPID DAU COROANA LA PRIMUL CARE RSP
Answer:
explicatie pas cu pas:)
im really sorry but i really dont have any idea :-(
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
what is the area of a 45 degree sector of a circle with a radius of 12 in.
given ,
a circle of radius 12 inches
and \(\theta\) = 45°
now we know that ,
\(\\{Area \: of \: sector = \frac{\theta}{360\degree} \times \pi \: r {}^{2} } \\ \\ \)
let's now plug in the values of radius and theta as 12 inches and 45° respectively ,
\(\\\dashrightarrow \: \frac{45}{360} \times \frac{22}{7} \times 12 \times 12 \\ \\ \dashrightarrow \: \frac{1}{8} \times \frac{22 \times 12 \times 12}{7} \\ \\ \dashrightarrow \: \frac{22 \times 12 \times 12}{56} \\ \\ \dashrightarrow \: \frac{3168}{56} \\ \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)\)
hope helpful :D
4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5
!SHOW WORK PLEASE!
Answer:
No solution
Step-by-step explanation:
Given
\(x - y = 11\)
\(x - y = 5\)
Required
Solve by graph
See attachment for graph.
From the attachment, lines \(x - y = 11\) and \(x - y = 5\) do not intersect. This implies that, no solution exist
PLEASE HELPPP ASAAP There is a picture above
Answer:
B) 8\(^{15}\)
Step-by-step explanation:
8³ × 8\(^{12}\)
When multiplying numbers with indices, you add the indices
3+12 = 15
so 8\(^{15}\)
Need help with #6 please help
Answer:
20 m
Step-by-step explanation:
the value of (-8/13×26/-3)
Answer:
5.33Step-by-step explanation:
Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;
\(\frac{-8}{13} * \frac{26}{-3}\\ \\= \frac{-8*26}{13*-3}\\ \\multiplying\ out \ the\ numerator\ and\ denominator;\\\\= \frac{-208}{-39} \\\\cancelling out the negative sign we will have;\\\\= \frac{208}{39}\\\\= 5.33\\The\ resulting\ value\ is\ 5.33\)
Solve the polynomial equation by factoring and then using the zero-product principle.
4x = 864x
Rewrite the equation in factored form.
(Blank)= 0
What is the solution pair?
In response to the stated question, we may state that As a result, the equation's answer is x = 0.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
4x = 864x is the provided equation.
This equation may be simplified by deleting 4x from both sides:
\(860x = 0\)
This equation may now be rewritten in factored form:
\(860x = 0 \sx(860) = 0\)
We know from the zero-product principle that if the product of two elements is zero, then at least one of them must be zero. As a result, we may set each component to zero and solve for x:
x = 0 or 860 = 0 (which is impossible) (which is impossible)
As a result, the equation's answer is x = 0.
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What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!
Answer:
Step-by-step explanation:
Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards
Volume = 96 × 2 = 19.2 cubic yards
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.
What was the total amount of rainwater that Kyle collected last week?
Answer:
2.211 gallon of rainwater
Step-by-step explanation:
1.46 gallon + 0.751 gallon = 2.211 gallon
Find the value of -6 + 8(-3) ÷ 4
please help me .
Answer:
-12
Step-by-step explanation:
cause from the rule
we should always solve from bracket so -3×8= -24
and -24/4= -6
and -6-6
= -12
27. The reaction of haematite (Fe,O,) with carbon monoxide is given below.
Fe,0, + 3C0—2Fe + 300,
The no of CO molecules that react with one mole of haematite are,
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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6x4 as repeated addition
Answer:
6+ 6+6+6
or
4+4+4+4+4+4
Step-by-step explanation:
6 (4 times)
4 (6times)
(brainlist please):D
Answer:
6+6+6+6 or 4+4+4+4+4+4
Step-by-step explanation:
You can add them out
The slope indicates initial conditions.
O True
O False
The answer is: True
\( \\ \\ \\ \)
You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution
Answer:
greater than
Step-by-step explanation:
The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)
where x is the score of each student
Adding 5 to 10 student scores would be = x+5 - mean
increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.
Need help on this plz and thanks
Answer:
y = 5x - 25
Step-by-step explanation:
Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.
10 = 5 * (7) + b
10 = 35 + b
-25 = b
So final equation is y = 5x - 25.
area of a rectangle is 32ft² and a width of 8ft could you find the missing length?
Yes we can find the length of the rectangle using the area and the width
32 = L 8
To find L let us divide both sides by 8
\(\frac{32}{8}=\frac{L8}{8}\)32/8 = 4
8 up will cancel 8 down on the right side
\(4=L\)The length of the rectangle is 4 ft
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Differentiate the function with respect to x. Shot steps
The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).
Its geometric meaning is the slope of tangent of the function at a given point.
The given function is as below,
y = sec⁻¹(x³)
The given function is a composite function of sec⁻¹x and x³.
In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,
dx³/dx = 3x²
And, dsec⁻¹x /dx = 1/x√(x² - 1)
Now, differentiation of sec⁻¹(x³) is given as,
d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))
= 3x/√(x² - 1)
Hence, the differentiation of the given function is 3x/√(x² - 1).
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PLEASE HELP! Determine the slope & the y-intercept of the following graphs.
Hey girl! It's me again to explain this to you :)
Number 21.) If we start from our y-intercept -2 and move up 2 on our y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.
Slope: 2/1 or just 2
Y-intercept: -2
You didn't ask for this but i'm gonna write it anyways. The equation for this line is y=2x-2
Number 22.) If we start from our y-intercept 2 and move down 2 on your y-axis we get to point (0,0). If we move over 1 space to the right, we are on (1,0), which is the x-intercept.
Slope: -2/1 or just -2
Y-intercept: 2
Again you didn't ask for this but the equation for this line is y=-2x+2
Hope this helped you understand and again make this brainliest and reply if you need more help or have any more questions :)
Step-by-step explanation:
An isosceles triangle has vertices at (-5, 4), (2, 4) and (-1.5, -3.5). Each of its two congruent sides are 8.3 units long. Calculate both the area and perimeter of the triangle. Explain or show you got your answers.
Answer:
unit long
Step-by-step explanation:
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:
A)
||
B)
≅
C)
≅
D)
∠F ≅ ∠H
The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is
EJ ≅ GJ. Option A
How to prove the statementWe need to know the properties of a parallelogram, we have;
Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.We know that FJ ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.
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The complete question:
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
A)
ej ≅ gj
B)
ej || gj
C)
fg || eh
D)
ef ≅ hg
how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho
Step-by-step explanation:
substitute y = 7x + 3 in equation 2
9x - 2y = 14
9x - 2(7x + 3) = 14
9x - 14x + 6 = 14
-5x + 6 = 14
-5x = 14 - 6
x = 8 ÷ 5
x = 1.6
subs x = 1.6 into equation 1
y = 7x + 3
y = 7(1.6) + 3
y = 11.2 + 3
y = 14.2
thus, x = 1.6, y = 14.2