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mrs_skeptik [129]
3 years ago
12

If \dfrac{x-1}{3}=k 3 x−1 ​ =kstart fraction, x, minus, 1, divided by, 3, end fraction, equals, k and k=3k=3k, equals, 3, what i

s the value of xxx? choose 1 answer: (choice
a.a 2
Mathematics
1 answer:
earnstyle [38]3 years ago
7 0
For this case we have the following expression:
 (x-1) / (3) = k
 Substituting the value of k = 3 we have:
 (x-1) / (3) = 3
 From here, we must clear the value of x.
 We have then:
 x-1 = 3 * 3
 x-1 = 9
 x = 9 + 1
 x = 10
 Answer:
 
The value of x is given by:
 
x = 10
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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
3 years ago
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