the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
Write an equation of the line perpendicular to line MN that goes through point Q.
Francisco has solved the problem for you, but made a mistake.
Find the error in the work and correct the mistake. Show your work for full credit.
Francisco’s work:
Step 1: Slope of MN: 1/4
Step 2: Slope of the line perpendicular: 4
Step 3: y - y = m(x - x) Q(6, -2)
y - (- 2) = 4 (x - 6)
Step 4: y + 2 = 4x - 24
Step 5: y + 2 - 2 = 4x - 24 - 2
Step 6: y = 4x - 26
Step completed incorrectly: ___
(I believe the step completed incorrectly is 2? But I’m not very sure on the showing my work part as well.)
Answer:
Step completed incorrectly: 2
Correct Answer: y = -4x + 22
Step-by-step explanation:
The graph is a straight line through points M(4, -1) and N(8, 0). Point Q is located at (6, -2).
To calculate the slope of the line, substitute the points into the slope formula:
\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)
Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.
If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.
The negative reciprocal of 1/4 is -4.
Therefore, the slope of the perpendicular line is -4.
So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.
Corrected work
\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)
\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)
\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)
\(\textsf{Step 4:} \quad y+2=-4x+24\)
\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)
\(\textsf{Step 6:} \quad y=-4x+22\)
Therefore, step 2 has been completed incorrectly.
The correct answer is y = -4x + 22.
Elke lives mile from 1/10school. Haresh lives 2/3 mile from school.
How much closer to school does Elke live than Haresh?
Simplify the answer if possible.
Answer: 17/30
Step-by-step explanation:
From the question, Elke lives 1/10 mile from school while Haresh lives 2/3 mile from school.
The closer to school Elke is than Haresh will be:
= 2/3 - 1/10
We can change the fractions to have thesame denominator which will be:
= 2/3 - 1/10
= 20/30 - 3/30
= 17/30
The distance between them is 17/30 miles
Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Can someone help me with this please?
Transcript: The first 5 x 5 square grid shown below has a 2 x 2 subgrid of grey squares, while the second does not. Picture below.
A 5 x 5 square grid has n squares that are coloured grey.
A) How many 2 x 2 subgrids does the 5 x 5 square grid have?
B) Find the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares.
The 5x5 square grid has 6 , 2 x 2 subgrids and the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12.
What is a Square ?A square is a polygon with four sides and all the sides are equal and parallel and all the angle value is 90 degree.
(a) The 5x5 square grid has 6 , 2 x 2 subgrids.
(b) the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12
as it can be understood from the figure 2 that only the last square doesn't have a pair and the rest all does
more than that will be extra but 12 will be enough to make all the grey squares of 2 x 2 subgrid .
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Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
Please please please please please please please please please help me I don’t know this question asking questions like this like I’m in high school
Answer:
Multiplication -- > 6 × 3 - 8
Division --> (4 + 3)/2
Subtraction --> 4 - 5 + 7
Addition --> 15 + 8 ÷ 4 - 6
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answer:
Step-by-step explanation:
Write the equation of the line perpendicular to y=2/3 x−12 that passes through the point (4, -1) in slope-intercept form.
Answer:
Step-by-step explanation:
perp. -3/2
y + 1 = -3/2(x - 4)
y + 1 = -3/2x + 6
y = -3/2x + 5
PLEASE I NEED HELP IN THIS
HERE IS THE PICTURE IS JUST ONE QUESTION
Answer:
f(x) = -5/9x - 11/9
Step-by-step explanation:
Consider f(x) = y
so if x = -4 => y = 1 and x = 5 => y = -4
so (-4,1) and (5,-4) should be on the same linear equation
Slope m = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(5 - -4) = (-5)/(9) = -5/9
y = mx + b
given m = -5/9, x = -4, y = 1
1 = -5/9(-4) + b
b = 1 - 20/9
b = 9/9 - 20/9 = -11/9
so y = -5/9x - 11/9
or f(x) = -5/9x - 11/9
Determine whether (8,1) is a solution of y = 13x – 6.
15% of 9 is what number and how to solve using proportions
Answer:
Step-by-step explanation
Okay so lets solve step by step/
15% can be written as a fraction: 15/100
The of in the equation means multiplying.
15/100= 3/20
3/20*9= 270/20
27/2 is answer
Kara found that the number of tomatoes from her garden was always at least 150 more than the number of consecutive days over
The inequality that represents the situation is n ≥ (n -1) + 150.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Kara found that the number of tomatoes in her garden was always at least 150 more than the number of consecutive days over.
Let n be the number of days.
And n -1 is the day before today.
Therefore, inequality is,
n ≥ (n -1) + 150.
Therefore, n ≥ (n -1) + 150.
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Let f ∶ R^2 → R be the function given by f(x, y) = y^2 − x^2.
Find the critical point(s) of f and show that f does not have any local maximums nor any local minimums.
The required critical points of f is (0, 0) and the function f does not have a local maximum nor local minimum.
The critical points of a function f are the points in the domain where the partial derivatives of f are equal to 0 or are undefined. To find the critical points of f, we can find the partial derivatives of f with respect to x and y, and set them equal to 0:
df/dx = -2x
df/dy = 2y
Setting df/dx equal to 0, we have:
-2x = 0
So, x = 0.
Setting df/dy equal to 0, we have:
2y = 0
So, y = 0.
Thus, the only critical point of f is (0, 0).
To show that f does not have any local maximums nor any local minimums at the critical point (0, 0), we can check the second partial derivatives of f at this point:
d²f/dx² = -2
d²f/dy² = 2
d²f/dxdy = 0
At (0, 0), d²f/dx² is negative and d²f/dy² is positive, which indicates that f is a saddle point at (0, 0). This means that f does not have a local maximum nor a local minimum at (0, 0).
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Quick help!!! Also pls show work!
Answer:
10a. No
10b. No
10c. Yes
10d. Yes
Step-by-step explanation:
10a. This equation does not because 3/4 x 8 = 6 and not 9.
10b. This equation doesn’t because 3x8 does not equal 28.
10c. This equation does because 5 x 8 = 40 which means y = 8.
10d. This equation does because 8/2 = 4. Fractions are just division problems and 8 divided by 2 equals 4, meaning y = 8 was n this equation.
Which expression is equivalent to g -m power divided by g to the n power
10 geydyduduwwjhwheyrtryyeueuwuwuueueuejjejeje
factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
(8m + 4) + (8m + 4) combine the like terms to simplify
The expression simplified can be written as:
16m + 8
How to combine the terms and simplify?Here we want to simplify the following expression:
(8m + 4) + (8m + 4)
To simplify, we start by removing the parenthesis:
8m + 4 + 8m + 4
Now we can change the order of the terms so we get:
8m + 8m + 4 + 4
Now we can group the like terms to get:
(8m + 8m) + (4 + 4)
And simplify this to get:
16m + 8
That is the simplified expression.
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2. For a particular model of a car, a dealer offers 3 sizes of engines, 2 types of stereos, 18 body
colors and 7 upholstery colors. How many different possibilities are available for that model?
The given details follow the product rule. The different model of the car available are 756.
Given that:
\(Engines = 3\)
\(Stereos = 2\)
\(Body=18\)
\(Color = 7\)
The different possibility is calculated using the following product rule:
\(Total =Engines \times Stereos \times Body \times Color\)
So, we have:
\(Total = 3\times 2\times 18 \times 7\)
\(Total = 756\)
Hence, there are 756 different models available.
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Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.
Answer:
I think it's D
Step-by-step explanation:
The number never goes over 0 so there is no need to put anything above 0
Answer:
the answer is D. The second arrow he drew should have started at -15 instead of 0.
Step-by-step explanation:
was on a test I took and got 100
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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Please help me solve
On solving the provided question, we can say that - the linear equation
y=mx+b = \(y=6.4(82)+1900= > y=524.8+1900= > y=2424.8\)
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y=mx+b
x=gallons of fuel
y=total weight of plane including fuel
m=slope=6.4
b=weight of plane, no fuel....a constant to be calc'd
\(y=mx+b\\2245.6=6.4(54)+b\\2245.6=345.6+b\\ b=1900\\ y=6.4x+1900\\ y=6.4x+1900\\ y=6.4(82)+1900\\ y=524.8+1900\\ y=2424.8\)
82gallons fuel is 2424.80 lbs
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Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?
1.48 pounds
1.42 pounds
1.45 pounds
1.58 pounds
1.52 pounds
Ignore the other questions on there
What is 4 - 1 1/4 + 1/2?
A 2 7/16
B 2 3/4
C 2 1/4
D 3 1/4
Answer:
use Desmos cauculator it helps
Step-by-step explanation:
4-11/4+1/2=1.75 or 7/4
Answer:
D. 3 1/4
Step-by-step explanation:
4 - 11/4 + 1/2
= 4 -11/4
= 2 3/4
2 3/4 + 1/2
= 11/4 + 1/2
= 11/4 +(1 x 2) (2 x 2)
= 11/4 + 2/4
= 3 1/4
−1 7/9 is the same as the sum of −2 5/6 and 1/3 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
Answer:
3 1/6 = x
Step-by-step explanation:
-1 7/9 = -2 5/6 + 1/3 x
-16/9 = -17/6 + 1/3x
-32/18 = -51/18 + 6/18 x common denominator
-32/18 + 51/18 = 6/18 x
19/18 = 6/18 x
19/18 ÷ 6/18 = 6/18 ÷ 6/18 x Divide by 6/18
19/18 · 18/6 = 6/18 ·18/6 x
19/6 = x
3 1/6 = x
If \(-1\frac{7}{9}\) is same as the sum of \(-2\frac{5}{6}\) and 1/3 times a number. then the number is 17/6.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
\(-1\frac{7}{9}\) is the same as the sum of \(-2\frac{5}{6}\) and 1/3 times a number
This can be written as
\(-1\frac{7}{9}\) = \(-2\frac{5}{6}\) + 1/3x
Let x be the number
-2/9=-7/6+1/3x
Add 7/6 on both sides
-2/9+7/6=1/3x
LCM of 6 and 9 is 18
-4+21/18=1/3x
17/18=1/3x
Divide both sides by 1/3
17/18×3/1=x
17/6=x
Hence, if \(-1\frac{7}{9}\) is same as the sum of \(-2\frac{5}{6}\) and 1/3 times a number.then the number is 17/6.
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Examine the following typical corporate bond listing:
In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the closing price of the bond? What was the dollar amount? (See attachments)
a. 101 3/4; $101,750
b. 7 1/4; $7250
c. 101 3/4; $1017.50
d. 107 1/4; $1072.50
Answer:
C. 101 3/4; $1017.50
Step-by-step explanation:
Correct on E2020!
20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)
the burger king sign is a rectangle i had burger king last week
Which of the following shows as a mixed number and as an improper fraction?
There's no following. You need to post a picture or complete the question.
I need help with this question