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Alla [95]
3 years ago
10

HELP THIS IS HARD SOMEONE pls

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
  • <em>the </em><em>segment</em><em> </em><em>DC </em><em>is </em><em>parallel</em><em> </em><em>to </em><em>its </em><em>image</em><em> </em><em>because</em><em> </em><em>the </em><em>center</em><em> </em><em>of </em><em>dilation </em><em>is </em><em>not </em><em>on </em><em>DC.</em>

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<em>FOLLOW</em><em> ME</em><em> </em><em>AND</em><em> MARK</em><em> ME</em><em> </em><em>AS </em><em>BRAINLIST</em><em> PLSS</em>

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3 years ago
Given f(x) = x^2 – 3x – 2, what is f(5)?
miskamm [114]

Answer:

f(5)=8

Step-by-step explanation:

Given function: f(x)=x^2-3x-2

To find f(5), simply input x=5 into the function:

\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}

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If the radius of a circle is twice as great as
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5 0
3 years ago
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
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