MATHEMATICS MIDDLE SCHOOL

PLEASE HELP ME!!!!!!

Answers

Answer 1

Answer:

for question number 1 the answers are;

x^2 - 2x + 1 and x^2 +2x +1

cause if you factor it you get a perfect square: (x -1)(x-1) and (x+1)(x+1)

For question number 2 the answers are:

16x^2 + 24x + 9 and 16x^2 +9

cause if you factor it would be: (4x +3)(4x +3) or (4x+3)^2

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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

Answers

we have that
A(-2,-4) B(8,1)

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

After w weeks, a student has saved 25+8w dollars. How much money has the student saved after 15 weeks?

Answers

How much money has the student saved after 15 weeks is $145

Given:

Amount saved after w weeks=25+8w dollars

Amount saved After 15 weeks=?

Hence:

Amount saved After 15 weeks=25+8(15)

Amount saved After 15 weeks=25+120

Amount saved After 15 weeks=$145

inconclusion How much money has the student saved after 15 weeks is $145.

Learn more here:

brainly.com/question/18162686

Answer:

$145.00

Step-by-step explanation:

Since w is the number of weeks, substitute the w in (25+8w) with 15

y = 25 + 8(15)

y = 25 + 120

y = 145

The student saved $145.00 after 15 weeks

Find an equation of the line with slope 15 passing through the point (10,9)

Answers

Answer:

The answer is: y = 15x - 141

Step-by-step explanation:

Begin with the point slope form of a line:

y - y1 = m(x - x1)

Put the givens in place of the variables:

y - 9 = 15(x - 10)

Solve for y:

y - 9 = 15x - 150

y = 15x - 141

Rectangle R was dilated to form rectangle R prime. Rectangle R has a length of 8 and width of 4. Rectangle R prime has a length of 20 and width of 10. Which is the scale factor of the dilation? Five-fourths StartFraction 2 Over 1 EndFraction Five-halves StartFraction 5 Over 1 EndFraction