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BARSIC [14]
3 years ago
6

The area of a triangle is 24 sq. inches. If the base of the triangle is 6 inches, what is its height?

Mathematics
2 answers:
il63 [147K]3 years ago
5 0
Area of triangle = 0.5 base height


24 = 0.5 x 6 height 

height = 8 inches
Shtirlitz [24]3 years ago
3 0

Answer: 8inches

Step-by-step explanation:

First we have to know the formula for the area of a triangle

A = (1/2)bh

Where

b = base

h = height

That's half of the base multiplied by the height

Are now we make the height the subject of formula since that's what we are looking for

Multiply both sides by 2

2A = 2((1/2)bh) =bh

divided both sides by b

2A/b = h

h = 2A/b

So we both the value of the A and b in the equation

h = 2(24)/6 = 2(4) = 8inches

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3 years ago
The graphs below have the same shape. What is the equation of the blue graph?
Kisachek [45]

Answer:

Option C. g(x)=(x+5)^{2}

Step-by-step explanation:

we know that

The equation of the parent function f(x) (red graph) is

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is the point (0,0) (the origin)

The function g(x) (blue graph) is a vertical parabola open upward

The vertex is the point (-5,0)

The transformation of f(x) to g(x) has the following rule

f(x) -----> g(x)

(0,0) ----> (-5,0)

(x,y) ----> (x-5,y)

That means----> The transformation is a translation of 5 units at left

therefore

The equation of g(x) is

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5 0
3 years ago
1 What is the solution to the system of equations? (2 Points) x + y = 8 and - x + 3y = 4 O a. (-2, 10) O b. (10,-2) c. (3,5) O d
beks73 [17]

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -<u>x   + 3y = 4  </u>

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

6 0
3 years ago
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