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Dmitriy789 [7]
1 year ago
10

The length of a rectangle is 8 inches and the width is x inches. What is the perimeter, in inches?

Mathematics
1 answer:
GaryK [48]1 year ago
8 0
AAAAAAA 2x8+2x=16+2x
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Mike spent $7920 on his vacation, which was 11% of his monthly salary. What was his monthly salary
leonid [27]

Answer: $72000

  1. 7290 divided by 11 = 720
  2. 720 times 100 = 72000

8 0
3 years ago
Cain has 40 eggs. He divides all the eggs and places an equal number into 10 small containers. How many eggs are in each contain
Tema [17]

Answer:

4

Step-by-step explanation:

40 ÷ 10 = 4

7 0
3 years ago
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Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
Compare the decimals 16.30 and 16.3
pshichka [43]
16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500
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3 years ago
What is the percent change from 20 to 18?
irinina [24]
<span>there was a 10% decrease</span>
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3 years ago
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