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alexandr1967 [171]
3 years ago
6

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is

12 square feet, which equation models this situation?
A. 25x^2-10x-24=0

B. 5x^2-2x-24=0

C. 5x^2-2x-6=0

D. 5x^2-2x-12=0
Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A=    1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

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\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

\large\underline{  \boxed{ \sf{✰\:Important\: point's }}}

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  • ➣ Circumference:- The line that bounds a circle or other two-dimensional figure

{ \rule{70mm}{2.9pt}}

★ also circumference of a circle is also known as it's perimeter

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{ \boxed{✜\underline{  \boxed{ \sf{\: Circumference \:  of  \: circle= \: 2\pi \: r}}}✜}}

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{ \rule{70mm}{2.9pt}}

\large\underline{  \boxed{ \sf{✰\: Let's\:solve }}}

\sf{➛ \: Circumference  \: of  \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference  \: of  \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference  \: of  \: circle =157inch}

★ Hence circumference of circle=157inch

\large\underline{  \boxed{ \sf{➪\:157inch. }}}

{ \rule{70mm}{2.9pt}}

Hope it helps !

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