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Tanya [424]
3 years ago
11

Which expression could be used to find the volume of the prism below?

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

I think its either C or D but im not very sure.

Step-by-step explanation:

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If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Reika [66]

Answer: Option B.

b=\frac{5}{4}

Step-by-step explanation:

If a varies directly with b then when a increases b it also increases by a factor k.

Then we can write that

a = kb

We know that when a = 28 then b = 7. So

28 = k * 7

k=\frac{28}{7}

k=4

Therefore the equation of proportionality is:

a=4b

So when a=5  then:

5=4b\\\\b=\frac{5}{4}

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

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Answer:

I think the option B suits the most

Step-by-step explanation:

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