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Nookie1986 [14]
3 years ago
5

- 2(2t + 3) = - 4 - 3(t + 4)" alt=" - 2(2t + 3) = - 4 - 3(t + 4)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
kozerog [31]3 years ago
3 0
Distribute the -2 on the left and the -3 on the right:

-4t-6=-4-3t-12

Clean up the right side by combining the constants:

-4t-6=-16-3t


Add 4t to both sides to eliminate -4t on the left:

-6=-16+t

Finally, add 16 to both sides to isolate the t on the right:

10=t

That's the solution: t=10

Hope this helps.

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3 years ago
The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
kompoz [17]

Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

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Take square roots

9 =x

x = 9

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7 0
3 years ago
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