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algol [13]
3 years ago
9

Please need help on this

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0
2 costumers bought 9 books
Veseljchak [2.6K]3 years ago
3 0
2 customers bought 9 books
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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

6 0
3 years ago
3x + 2 y = 8<br> 5x + 2 y = 12<br> What is the solution of the system of equations shown above?
Arisa [49]

Answer:

x = -3

Step-by-step explanation:

First solve it:

Subtract the x's from both sides

2y = -3x +8

2y = -5x +2

Divide by two

y= -1.5x + 4

y = -2.5x +1

set them equal to each other:

-1.5x +4 = -2.5x +1

Add 2.5 x to both sides

1x +4 = 1

x +4 = 1

subtract 4 from both sides

x = -3

5 0
3 years ago
PLEASE HELP ME I BEG YOU
ankoles [38]
The point A is located in quadrant II

The coordinate of the origin is always (0,0)
7 0
3 years ago
Suppose M is the midpoint of line FG.
alukav5142 [94]
A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\  from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5

6 0
3 years ago
Which expressions ere equivalent to x+x+x+2​
Andrei [34K]

3x + 2

since x + x + x is 3x.

Or you can be creative

(6x+4)/2

im just trying to hit the 20 chac minimum.

3 0
3 years ago
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