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pav-90 [236]
3 years ago
15

Find the area and perimeter.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Step-by-step explanation:

Perimeter = 12 + x + 6 + 2x + 5

Perimeter = 3x + 23.

Area = ½ × b × h

Area = ½ × 12 × (x + 6)

Area = 6(x + 6)

Area = 6x + 36

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3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

----------------

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
Find the % of change. Original price: $185 New price: $160
mojhsa [17]

Answer:

-13.51

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,


so, -13.51

8 0
2 years ago
What are the solutions to the equation -5x2 + 3x = -9
Aleks04 [339]

Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−


Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0


Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0


Solution=3±321 over 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find the common factor and rewrite. Type your answer in the box. Do not use any spaces.
finlep [7]

Common factor is 4X

Rewriting the term we get: 4X(Y + 2Z)

Step-by-step explanation:

We need to find the common factor of the expression: 4XY + 8XZ

A common factor is the term that is common in all the terms of the expression.

In the given expression the common factor is: 4X because it is common in both terms

4XY + 8XZ

=4X(Y + 2Z)

So, Common factor is 4X

Rewriting the term we get: 4X(Y + 2Z)

Keywords: Factors

Learn more about factors at:

  • brainly.com/question/10771256
  • brainly.com/question/1414350
  • brainly.com/question/2568692

#learnwithBrainly

3 0
3 years ago
Factor the expression.<br> 3x2 + 7x-6
Sedbober [7]

Answer:

this answer is. _48 am I right

3 0
3 years ago
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