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True [87]
3 years ago
10

A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th

e triangle.
Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is \frac{bh}{2}

where b is the base and h is the height

H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\

We can factor by grouping

3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

Height = 20, Base = 6

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2 years ago
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6 0
3 years ago
F(x)=x^2+8x-10 find f(a)+5
Papessa [141]

Answer:

We conclude that:

f(a) + 5 = a² + 8a - 5

Step-by-step explanation:

Given

The function is given by

f(x) = x²+8x-10

To determine

f(a)+5

In order to determine f(a)+5, first, we need to determine f(a).

Now substitute x = a in the function f(x) = x²+8x-10

f(a) = (a)² + 8(a) - 10

f(a) = a² + 8a - 10

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Therefore, we conclude that:

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4 0
2 years ago
I don’t understand please help
Katarina [22]
Y= 4/1 x -9 :) djsjsjdndndndj
8 0
3 years ago
Which is a equivalent to 80 1/4x
elena55 [62]
Since you did not provide options for what 80\frac{1}{4}x could be equivalent to,, it is near to impossible to answer this question fully. I will simplify 80\frac{1}{4}x for you and then when you can provide the options for me,, I could help you find the answer if you need it. 
To simplify this you must reduce the numbers with 4 in order to find your final answer.
20x.
This means that the correct answer to your question is 20x.
Let me know if you have any further questions.
:)
7 0
3 years ago
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