Find AB.<br> А A<br> 5x В 4х + 3 с

Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

3 years ago

If f(x) = (x - 1) / (x + 2), then the range of f is given by the interval

Veseljchak [2.6K]

Answer:

B and D

Step-by-step explanation:

Have a great day!

/(OvO)/ *.':☆ *': .✧

3 0

3 years ago

Read 2 more answers

Jade can do 65 push ups in 5 minutes. At the same rate, how many push ups can you expect her to do in 7 minutes?

hram777 [196]

Answer:

91

Step-by-step explanation:

Set up a proportion, where x is the number of push ups she can do in 7 minutes

$\frac{65}{5}$ = $\frac{x}{7}$

Cross multiply and solve for x:

5x = 455

x = 91

So, Jade can do 91 push ups in 7 minutes

3 0

4 years ago

Read 2 more answers

If the correlation between height and weight of a large group of people is 0.75, find the coefficient of determination (as a

Shtirlitz [24]

Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R² = 0.75²

R² = 0.5625

R² = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.

4 0

3 years ago

Read 2 more answers

Two standard 6-sided number cubes are rolled, a red one and a blue one. How many different sums are possible?

AlladinOne [14]

Answer:

There are 11 different sums.

Step-by-step explanation:

When you roll two dice, the smallest number you can get is 2, and the largest 12, and you can get all in between. So 12-2 is equal to 10, but we have to add another 1 because 2 counts. So the answer is 11.

8 0

3 years ago

Find AB. А A 5x В 4х + 3 с