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4 years ago

Solve the system of equations 2x-5y=-20 y=x+4

Mathematics

1 answer:

Helen [10]4 years ago

6 0

Answer:

Step-by-step explanation:

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The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of th

babymother [125]

Answer: it nearest 25 and 26:)

Step-by-step explanation:

3 0

3 years ago

Car A travels at an average speed of 45 miles per hour. Car B travels at an average speed of 40 miles per hour. In the time it t

attashe74 [19]

Setup
45t = 40t + 60
5t = 60
t = 12

car A = 45 * 12 = 540 mi
car B = 40 * 12 = 480 mi

5 0

3 years ago

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

Write an equation for the line below

zimovet [89]

Answer:

y = 1/3x - 3

Step-by-step explanation:

Two points are (0, -3) and (-6, -5)

Slope formula [ y2-y1/x2-x1 ]

-5-(-3)/-6-0

-2/-6

1/3

y = 1/3x - 3

Best of Luck!

6 0

4 years ago

How to convert 0.54 into a mixed number

Vikentia [17]

It's 54/100. Then 27/50.

6 0

4 years ago