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svetlana [45]
3 years ago
15

Solve for x in the equation 5x - 3 = 12

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

x=-3

Step-by-step explanation:

5x=12+3

5x=15

divide both sides by 5

x=3

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8 0
3 years ago
The area of the right triangle shown is 24 square feet.
Goryan [66]

<em><u>The equations used to find the length of leg of triangle are:</u></em>

0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100

<em><u>Solution:</u></em>

From given,

Area of right triangle = 24 square feet

Also from given figure in question (attached below )

base = x and height = x + 2

<em><u>The area of triangle is given by formula:</u></em>

Area = \frac{1}{2} \times base \times height

Substituting the values we get,

24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0\\\\

<em><u>Also, the above equation can be written as,</u></em>

x^2 + (x+2)^2 =100

<em><u>Thus the equations used to find the length of leg of triangle are:</u></em>

0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100

4 0
3 years ago
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ehidna [41]
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( - infinity, 4] <== interval notation
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