Solve the system by substitution.

y=−3x-2
-7x+3y=10

PLEASE HELP

Answers

Answer 1

Answer: y=-3x-2
subsitute -3x-2 for y
-7x+3(-3x-2)=10
distribute
a(b+c)=ab+ac
3(-3x-2)=-9x-6

-7x-9x-6=10
add like terms
-16x-6=10
add 6
-16x=16
multiply -1
16x=-16
divide 16
x=-1

subsitute
y=-3x-2
y=-3(-1)-2
y=3-2
y=1

x=-1
y=1

(x,y)
(-1,1)

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Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.Note: Figure is not drawn to scale.

The longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches. The shorter piece of wood has dimensions of 5 inches by 1 inch by 1 inch. How many square inches of purple paint will Lisa use to paint her letter L?

Answers

Answer:

46 square inches

Step-by-step explanation:

A banquet hall has a perimeter of 3600 m. With is the width if the length is 5 times the width?

Answers

Width = 300
Length = 1500
You may ask for further explanation if wanted.

Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches wide how long was the cake

Answers

9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches

2. Kelsea needs a test average of at least 90 to get an "A-" this marking period in math. Her three test gradesare 87,91 and 86. What score must she get on her fourth test to receive at least an A- ?
Define variable:
Equation:
Solution:

can someone check this please :)

Answers

Answer:

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

First three Kelsea's test grades : 87, 91 and 86

2. What score must she get on her fourth test to receive at least an A- ?

Define variable: x that represents the grade needed by Kelsea on her fourth test to receive at least an A-

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Now you can understand if the previous work you did is correct

What is the best estimate of 23% of 60?

Answers

13 is really close. 13.8 is exact

15 your answer is 15

What are the coordinates of the point that is 1/4 of the way from a to b ?

Answers

Answer:

((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Step-by-step explanation:

C = The new point

X_1 = The x coordinate of A

X_2 = The x coordinate of B

X_3 = The x coordinate of C

Y_1 = The y coordinate of A

Y_2 = The y coordinate of B

Y_3 = The y coordinate of C

The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.

So, X_3 = (X_2 - X_1)/4

The Y is the same thing but for the Y coordinate.

Y_3 = (Y_2 - Y_1)/4

This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Final answer:

To find the coordinates of a point that's a quarter way from point a to point b, use the following formula: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4], where (x1, y1) and (x2, y2) are the coordinates of points a and b respectively.

Explanation:

In mathematics, to find the coordinates that are 1/4 of the way from point a to point b, you simply need to apply the formula for finding a point along a line segment connecting two points. If you have two points (x1, y1) - coordinates of point a and (x2, y2) - coordinates of point b, a point P that divides the line segment AB in the ratio of m:n (in this case m=1, n=3 since it's 1/4 of the way) has the coordinates: [(mx2 + nx1) / (m+n), (my2 + ny1) / (m+n)].

So, if point a = (x1, y1) and point b = (x2, y2), the coordinates of the point that is 1/4 of the way from a to b is given by: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4].