MATHEMATICS MIDDLE SCHOOL

Hollis house is located at (-1,4). She can walk in a straight line to get to Jedds house. A fast food resturant is located at (-3,2) and partitions the way from hollis house to jedds house by a ration of 1:2 find the coordinates of jedds house

Answers

Answer 1

Answer:

Answer:

The coordinates of Jedds house are (-7 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide the distance between the two points

$(x_(1),y_(1))$ and $(x_(2),y_(2))$ at the ratio

$(m_(1):m_(1))$ , then

$x=(x_(1)m_(2)+x_(2)m_(1))/(m_(1)+m_(2))$ and

$y=(y_(1)m_(2)+y_(2)m_(1))/(m_(1)+m_(2))$

* Lets solve the problem

∵ Hollis house is located at (-1 , 4)

∴ $(x_(1),y_(1))$ = (-1 , 4)

∵ She can walk in a straight line to get to Jedds house

∵ The restaurant is located at (-3 , 2) and partitions the way from

Hollis house to Jedds house by a ration of 1 : 2

∴ (x , y) = (-3 , 2)

∴ $(m_(1):m_(1))$ = 1 : 2

- Lets consider that Jedds house is located at $(x_(2),y_(2))$

∴ $-3=(-1(2)+x_(2)(1))/(1+2)$

∴ $-3=(-2+x_(2))/(3)$

- Multiply both sides by 3

∴ $-9=-2+x_(2)$

- Add 2 for both sides

∴ $-7=x_(2)$

∴ $2=(4(2)+y_(2)(1))/(1+2)$

∴ $2=(8+y_(2))/(3)$

- Multiply both sides by 3

∴ $6=8+y_(2)$

- Subtract 8 for both sides

∴ $-2=y_(2)$

∴ The coordinates of Jedds house are (-7 , -2)

Answer 2

Answer:

Answer:

(-7 , -2)

Step-by-step explanation:

The above answer is correct

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DeShawn uses 3/4 of a box of rice to cook dinner. The portion he uses weighs 12 ounces. Write and solve and equation to find the weight of the full box kf rice.

Answers

Answer:

$16\ ounces$

Step-by-step explanation:

we know that

$3/4$ of a box of rice weighs $12$ ounces

so by proportion

Find the weight of the full box of rice

$(12)/((3/4))(ounces)/(box) =(x)/(1)(ounces)/(box)\n \nx=12/(3/4)\n \nx=16\ ounces$

3/4 box = 12 oz

we first need to find 1/4 of a box. to do that divide both sides by 3

1/4 box = 4 oz

for a full box which is 4/4 multiply both sides by 4

1/4 x (4) = 4 x (4) oz

4/4 ( or one whole) = 16 oz

a triangular shape has an area of 70 square inches the height is 8 and three fourths write and solve an equation to find the length of the base

Answers

Area formula of a triangle is:
A = $(1)/(2) bh$
We know the area and the height, so substitute to find the base

A = 70 m²
h = 8.75 m or $8 (3)/(4)$ m (its the same thing)

70 = $(1)/(2)$ × b × 8.75
70 = 4.375b
Divide by 4.375 on either sides to isolate b
$(70)/(4.375) = (4.375b)/(4.375)$
4.375 and 4.375 cancels out

16 m = b

The base of this triangle is 16 m

A company logo is a white square inside a red square. The side length of the white square is x+2. The side length of the red square is three times the side length of the white square. What is the area of the red part of the logo? Write your answer in standard form.

Answers

The problem says that the company logo is square in shape, therefore ithas an area of the side of of it multiplied by itself. you also have two squares,the white square inside the red square. You are given the side of the whitesquare as x + 2 and the side of the red square as 3(x + 2). This can be solvedthrough ratio and proportion.

A (white square) = (x + 2)^2
A (red square) = [3(x +2)]^2

A (red square)/A (white square) = [3(x +2)]^2/(x + 2)^2
A (red square)/A (white square) = 3^2 = 9

Final answer:

The area of the red part of the logo is found by subtracting the area of the white square from the area of the red square. The side length of the white square is given as x+2 and the side length of the red square is three times the length of the white square. This gives us the formula for the area of the red part as [3(x+2)]² - (x+2)².

Explanation:

To solve this problem, you need to find the difference between the area of the red square and the white square which will give you the area of the red part of the logo.

Firstly, we are given the side length of the white square is x+2 so the area of the white square would be (x+2)².

Secondly, the side length of the red square is three times the side length of the white square, so it would be 3(x+2). Hence, the area of the red square would then be [3(x+2)]².

Therefore, the area of the red part of the logo (which is the difference between the area of the red square and the white square) would be [3(x+2)]² - (x+2)².

Learn more about Area of Squares here:

brainly.com/question/33403734

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-7 (z-6)=-70 what is z

Answers

If you would like to solve the equation - 7 * (z - 6) = - 70, you can calculate this using the following steps:

- 7 * (z - 6) = - 70
- 7 * z + 7 * 6 = - 70
- 7 * z = - 70 - 42
- 7 * z = - 112
7 * z = 112 /7
z = 112/7
z = 16

The correct result would be 16.

Z=16 If you want you can plug it in. 16-6=10 10*-7 =-70 Therefore, Z will equal 16

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