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Mashutka [201]
3 years ago
15

Simplification of the expression (-2x+8y)(9x-3y)

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0
You multiply each term by each term when expanding double brackets, so:
-2x × 9x = -18x^2
-2x × -3y = 6xy

8y × 9x = 72xy
8y × -3y = -24y^2

Now you combine the like terms to get
-18x^2 + 78xy - 24y^2
I hope this helps!
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Find the volume of each figure round to the near tenth only number 2 pls it’s 20 points
Nana76 [90]

Answer:

2094.4yds cubed

Step-by-step explanation:

V=pi*r^2*h/3

V=pi*100*20/3

V≈2094.4

6 0
3 years ago
Please help me, question is the picture
Hitman42 [59]
The answer is 425 miles.

Both of the companies can be represented by an equation. The first company being f(a) and the second company bring f(b).
f(a)=$0.06x+65
f(b)=$0.10x+48
We want to find where they are equal, so we can set the equations equal to each other.
$0.06x+65=$0.10x+48
From here we can simplify the equation.
17=$0.04x
425=x
8 0
3 years ago
Read 2 more answers
1. It takes the Earth 24 h to complete a full rotation. It takes the sun approximately 25 days, 9 h, and 7 min to complete a ful
brilliants [131]

Note that there are 24 hours in 1 day, and 60 minutes in 1 hour

First, multiply 25 with 24

25 x 24 = 600

Next, add 600 with 9 hours

600 + 9 = 690

Note that there are 60 minutes in 1 hour. Divide 7 minutes with 60

7/60 = ~0.12 (rounded)

~690.12 hours is your answer

hope this helps

6 0
2 years ago
Read 2 more answers
Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

 a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

 then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

  y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0
3 years ago
The model includes a new park in the center of the city. If the dimensions of the
11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0
2 years ago
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