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Vsevolod [243]
3 years ago
15

If (2a) (2b)= 128, what is a + b equal to? A. 1 B. 6 C. 7 D. 12

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0
First we try to simplify it as much as we can:
2*2*a*b = 128
4ab = 128
then divide both sides by 4
ab = 32

now, we want to think - "What two numbers multiply to 32?"
that would be the pairs of factors of 32
this is:
1, 32
2, 16
and
4, 8

now, which of those pairs adds up to one of your options?
1 + 32 = 33
2 + 16 = 18
4 + 8 = 12

12 is one of your options, therefore that is your answer!
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Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Korolek [52]

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

2x+10=0\\2x=-10\\x=-5

x-7=0\\x=7

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

(2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0

(2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0

8 0
2 years ago
The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per da
kirill115 [55]

The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.

Let us consider any two points.

Let us consider (1,30) and (2,60)

We have to determine the rate of change which is basically termed as "slope".

Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.

Therefore, rate of change or cost per day =

Change in y \div Change in x

= \frac{60-30}{2-1}

= 30

Therefore, the rate of change or cost per day is $30 per day.

5 0
3 years ago
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O N. C o Q o 4- ZOO O .5; g 0 4. - 3 0 ‘ '
Y_Kistochka [10]
The answer is 25% because 20/50=0.25x100=25%
7 0
3 years ago
What is the slope of the equation 2y = 6x - 8?<br><br> 2<br> 3<br> 4<br> 6
alexira [117]
The slope is 3 because you need to use the slope-intercept form y=mx+b to find the slope of m
8 0
4 years ago
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Circle A is inscribed in a quadrilateral. What is the perimeter of the quadrilateral?
faust18 [17]
AB + CD = BC + DA 
<span>Where A, B, C, and D are points on the quad, and AB is the length of the line A to B, etc. </span>

<span>Since you know three sides, you can easily solve for the fourth. </span>
6 0
4 years ago
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