Find the equation of the line that passes through the midpoint of the line segment between P1(2, 4) and P2(−4, 2) and has slope 7. Let y be the dependent variable and let x be the independent variable.

Answers

Answer 1

Answer: The midpoint of the points is the average of the x-coordinate and y-coordinate. So in this case, the midpoint would be (-1, 3). So equations can be written in the form y=mx+b. Since the slope is 7, the m value is also 7. Substituting the point (-1, 3) as x and y makes the equation 3=7(-1)+b. So after isolating the b, the value of b is not 10. So the final equation is y=7x+10

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What is the slope of the line 4x + 6y = 12
Simplify the expression. Write your answer as a power.
The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the trinomial to find a side of the square.a. side = z + 27 b. side = z + 18 c. side = z + 9
-(-2)with an exsponet of 6 help plz

In the formula a2 + b2 = c2, what is the value of a2?

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a^2 + b^2 = c^2 Moving b^2 to RHS a^2 = c^2 - b^2

$a^2+b^2=c^2\ \ \ \ |subtract\ b^2\ from\ both\ sides\n\na^2=c^2-b^2\n\n\boxed{a=√(c^2-b^2)}$

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer:

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81

Simplify 10,000^3/4 using a calculator.

Answers

The answer I get based off of the question is 1000.

Which of the following sets represents M∪N?{2, 5, 8}
{4, 7}
{3, 4, 6, 7, 9}
{3, 6, 9}

Answers

Answer : {3, 4, 6, 7, 9}

To find the set that represents M∪N, we take union of M and N

For union of M and N, we consider all the numbers inside the circles M and N.

WE have 9 and 3 inside M. Also we have 6 inside N. 4 and 7 are in the intersection of M and N. So we consider 4 and 7 as well

M∪N = 9,3,6,4 and 7

{3, 4, 6, 7, 9} is the answer.

the 3rd set, you're welcome my dude

Tito bought a baseball card for $24.00 and sold it for $37.00. what is the percent of increase rounded to the nearest tenth? a. 35.1%
b. 54.2%
c. 64.9%
d. 54.1%

Answers

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Cost price of a baseball card = $24

Selling price of a baseball card = $37

So, Profit would be

$37-24=\$13$

So, Profit % would be

$(13)/(24)* 100\n\n=54.16\%\n\n\approx 54.2\%$

Hence, Option 'b' is correct.

Answer:

The answer is B. 54.2% hopefully this helps!

The coordinates A(5,-2), B(3,-1)C(-4,-4)D(-3,8), E(-1,4) form the vertices of a polygon when they are connected in order from A through E. Classify the polygon without plotting the points. Explain your answer

Answers

Pentagon.
There are 5 points in this polygons, so that means 5 sides as well. The only polygons that have five points or five sides are pentagons.

Hope this helps :)

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