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Alenkinab [10]
3 years ago
11

ADC is drawn by reflecting ABC across . If AC = 4 units, what is the area of ADC?

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0
<span>E is the correct answer. The area of a triangle is equal to half the base multiplied by the perpendicular height. If BE = 3, then DE = 3. If AC is the base, DE is the perpendicular height. This gives (4 x 3)/2. This is equal to 6 square units.</span>
Afina-wow [57]3 years ago
5 0

Answer:

6 square units

Step-by-step explanation:

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2
Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

h(x)=f\circ g(x)

Here,

h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}

We need to find the value of g(x):

f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3

Hence, the value of g(x) is x+3.

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3 years ago
You prepare8 scoops of dog food for 4 ​dogs, and prepare15 scoops of dog food for 6 dogs. Is there a proportional relationship b
melisa1 [442]

Answer:

Is there a proportional relationship between the number of scoops and the number of​ dogs?

No.

Step-by-step explanation:

A proportional relationship is something like:

y = k*x

Here y can represent the number of scoops of dog food, and x the number of dogs.

First, we know that for 4 dogs he prepares 8 scoops of dog food, then:

8 = k*4

If the relationship is proportional, then we should have a similar equation for the case of 6 dogs, where he prepares 15 scoops of dog food:

15 = k*6

So if we have the same k in both equations, then there is a proportional relationship between the number of scoops and the number of dogs.

In the first equation we have:

8 = k*4

8/4 = k

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And in the second equation we have:

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The values of k are different, so no, there isn't a proportional relationship between the number of scoops and the number of dogs.

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