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Alona [7]
3 years ago
6

Can someone help me with this one please thank you

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

The answer is x=-7, y=8.

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1. Use precise mathematical language to justify and explain each mathematical process.
iris [78.8K]

Mathematical processes are the steps used to determine the result of operations

  • The perimeter of the rectangle is 10x^2 - 14x + 28
  • The area of the rectangle is 5x^3 +17x^2  -31x + 45

The dimension of the rectangle is given as:

Length = 5x^2 - 8x + 9

Width = x + 5

<u>(1) The perimeter of the triangle</u>

This is the sum of the side lengths of the rectangle.

So, we have:

Perimeter = 2 \times (Length + Width)

This gives

Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)

Collect like terms

Perimeter = 2 \times (5x^2 - 7x + 14)

Open brackets

Perimeter = 10x^2 - 14x + 28

Hence, the perimeter of the rectangle is 10x^2 - 14x + 28

<u>(2) The area of the triangle</u>

This is the product of the dimensions of the rectangle.

So, we have:

Area = Length \times  Width

This gives

Area = (5x^2 - 8x + 9) \times  (x + 5)

Open brackets

Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45

Collect like terms

Area = 5x^3 - 8x^2 +25x^2+ 9x  - 40x + 45

Area = 5x^3 +17x^2  -31x + 45

Hence, the area of the rectangle is 5x^3 +17x^2  -31x + 45

Read more about areas and perimeters at:

brainly.com/question/15656646

6 0
2 years ago
Need help on this to!! thanks &lt;33
Inga [223]
4) n=12 this is because 45/4=11.25 and dividing 135 by 11.25 equals to 12

5) n=2.5 this is because 5/2=2.5 and multiplying 1 by 2.5 equals to 2.5

hope this helps :)
4 0
3 years ago
Read 2 more answers
What is the unit rate, expressed in kilometers per minute?
nikklg [1K]
The correct answer is D
6 0
3 years ago
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Use the given data to find the equation of the regression line. examine the scatterplot and identify a characteristic of the dat
kari74 [83]

Answer:

y = 1.5x + 3.2009  

Step-by-step explanation:

I plotted your points and drew a linear regression line.

Its equation is

y = 1.5x + 3.2009

The regression line ignores the fact that the points fall along a smooth curve.

A parabolic regression line fits the data much better.

The equation for that line is

y = - 0.1647x² + 4.1357x - 5.6946

It is the equation for a vertical parabola opening downward.

7 0
3 years ago
Mr. Andrews is saving to buy a violin that costs $1,000. He has already saved $450 and decides to put all of this money into a n
Korolek [52]

Answer:

1000=450 (1+ 0.06) y

                         4

Step-by-step explanation:

In the paranthesis where it says 0.06 and then 4 at the bottom its supposed to be a fraction btw

7 0
3 years ago
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