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WINSTONCH [101]

3 years ago

8

A triangle with area 40 square inches has a height that is four less than six times the base. Find the base and height of the tr

iangle

1 answer:

Artist 52 [7]3 years ago

3 0

Answer:

A = 1/2bh

Step-by-step explanation:

40 = (.5)(6x - 4)(x)

40 = (3x-2)(x)

40= 3x^2 - 2x

3x^2 -2x - 40 =0

3x^2 - 12x + 10x - 40 = 0

3x(x - 4) + 10(x -4) = 0

(3x + 10)(x - 4) = 0

x = {4 , - 10/3}

x = 4 , b = 20. h = 4

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kobusy [5.1K]

Answer:

C - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3) = 3 (3)^2 - 5 = 22

g(3) = -1

22 * -1 = -22

5 0

2 years ago

Read 2 more answers

Which numbers make the inequality true?

Fofino [41]

Answer:

D

Step-by-step explanation:

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6 0

3 years ago

Simplify these calculations, leaving your answer in index form.

alexira [117]

Dividing x5^5 / x5^5 is 1

7 0

3 years ago

An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w

svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

= $3.57

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Therefore, percentage of reduction is 17%

7 0

3 years ago

On the moon, the height of a golf ball hit with an initial velocity of 96 ft/sec is given by the equation h= -2.7t^2+96t, where

nikdorinn [45]

So hmmm notice the picture below

"x" being how many seconds the object was going

and when y = 0, the object hits the ground, either on the moon or on earth

so, if we set y = 0 on each equation, we'll know when that happen, how long of a "x-value" or seconds it took

$\bf \begin{array}{llll}
\textit{on the moon}\\\\
h=-2.7t^2+96t\implies 0=t(96-2.7t)
\end{array} \quad 
\begin{cases}
0=t\\
-------\\
0=96-2.7t\\
2.7t=96\\
t=\frac{96}{2.7}\\
t\approx 35.\overline{55}
\end{cases}\\\\
-------------------------------\\\\
\begin{array}{llll}
\textit{on earth}\\\\
h=-16t^2+96t\implies 0=t(96-16t)
\end{array} \quad 
\begin{cases}
0=t\\
------\\
0=96-16t\\
16t=96\\
t=\frac{96}{16}\\
t=6
\end{cases}$

4 0

3 years ago