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horrorfan [7]
2 years ago
8

Combine like terms - y + 9z - 16y - 25z + 4

Mathematics
1 answer:
alexandr402 [8]2 years ago
8 0

- 17y - 16z + 4

Step-by-step explanation:

1) Collect like terms.

( - y - 16y) + (9z - 25z) + 4

2) Simplify.

- 17y - 16z + 4

So, therefor, the answer is -17y - 16z + 4.

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Select two ordered pairs that satisfy the function y = –4x – 1.
Nimfa-mama [501]
X = -0.25 and x = -2^-2
I’m not sure if this helps
5 0
3 years ago
Read 2 more answers
Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.
Mrrafil [7]
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
                          V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
                        (20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches. 
3 0
3 years ago
Read 2 more answers
Help me to answer this pls​
nlexa [21]

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
4 0
2 years ago
To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she
olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than  32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

A=s^2

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

P=4s

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula  A=s^2 and find its value:

A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in

Substituting the value of "s" into the formula P=4s, we get that the perimeter of the photo is:

P=4(2\sqrt{15}in)=30.98in

Therefore, since Alicia has 32 inches of trim and 30.98in, we can conclude that she will have enough trim for all four sides of the square.

8 0
3 years ago
The blueprint of a rectangular house is 2.5 inches by 1.5 inches. If the scale is 1:20, what is the perimeter of the actual hous
defon

Answer:

160

Step-by-step explanation:

(2.5 x 2)+(1.5 x 2) =8      (perimeter of scale)

8x20 = 160

4 0
2 years ago
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