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Nady [450]
2 years ago
9

Justify each step of this inequality by stating the property that was used to get to each step. Given: -5(r+3)<12-10r+3r Prop

erty used: Step 1: -5(r+3)<12-7r Step 1: Step 2: -5r-15<12-7r Step 2: Step 3: 2r-15<12 Step 3: Step 4: 2r<27 Step 4: Step 5: r<13.5 Step 5:
Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

We have:

Given:

-5(r+3)

Step 1: Combining Like Terms (on the right):

-5(r+3)

Step 2: Distributive Property (distribute the -5 on the left):

-5r-15

Step 3: Addition Property of Equality (add 7r to both sides):

2r-15

Step 4: Addition Property of Equality (add 15 to both sides):

2r

Step 5: Division Property of Equality (divide both sides by 2):

r

And we're done!

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A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D
Alika [10]
The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b. 

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

(y\times a)\times (y\times b)=9x
y^2ab=9x
y^2x=9x
y=3

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is 5 \times 8=40

And so then x=40

And then after the dilation, it would be 9x=9(40) = 360

We could check it another way too. Since we said the scale factor is 3, then:

( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360

So basically 15 by 24 is the new dimensions :)

6 0
3 years ago
PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!
slava [35]

Answer:

-8

Step-by-step explanation:

p(x) = - 2x - 3, x ≤ 0    You would use this equation for finding p(0), since 0 is equal to 0.

p(x) = - 2x - 3, x ≤ 0  ← You can ignore the x≤0 part.

p(0) = - 2(0) - 3              Input the value 0 as x.

p(0) = 0 - 3                    Simplify

p(0) = -3    

Next,

p(x) = -x² - 4, x > 0        You would use this equation for finding p(1), since 1 is greater than 0.    

p(x) = -x² - 4, x > 0    ←  You can ignore the x>0 part.  

p(1) = -(1)² - 4             Input the value 1 as x. 1² is equal to 1 times negative is -1.

p(1) = -1 - 4                 Simplify

p(1) = -5

Then,

p(x) = - 2x - 3, x ≤ 0    You would use this equation for finding p(-2), since -2 is less than 0.

p(x) = - 2x - 3, x ≤ 0  ← You can ignore the x ≤ 0 part.

p(-2) = - 2(-2) - 3          Input the value -2 as x. A negative times a negative is

p(-2) = 4 - 3                  a positive.

p(-2) = 1                        Simplify

Finally, you have to fine the value of \frac{p(0)+p(1)}{p(-2)}

\frac{p(0)+p(1)}{p(-2)}          

\frac{(-3) + (-5)}{(1)}            Input the values of p(0), p(1), and p(-2).

\frac{-8}{1}                      Simplify

-8

The answer is -8.

7 0
3 years ago
Can someone please help me?
Korolek [52]
The answer is b because I took it and got it w
6 0
3 years ago
Read 2 more answers
Question today susan has 12.6 m ribbon to make flowers if she has to make 4 flowers,how ribbon would use to make 4 flowers
Leto [7]

Step-by-step explanation:

3.15m or 3 3/20m

She has a total of 12.6m of ribbbon.

She has to make 4 flowers and each has ribbon.

You take 12.6÷4

5 0
2 years ago
Read 2 more answers
Please help can complete this analogy
Goshia [24]
Hanukkah, because that is what holiday it is used for. (Though I'm Christian and I don't know what the heck a creche is) but it says Christmas, so yeah. Hanukkah.
8 0
3 years ago
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