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3 years ago

Find the value of x.A. 4B. 5C. 6D. 9

Mathematics

1 answer:

lubasha [3.4K]3 years ago

7 0

Answer:

C. 6

Step-by-step explanation:

You can try the answers to see which satisfies the Pythagorean theorem:

A. 4² +7² = 16+49 ≠ 117

B. 5² +8² = 25 +64 ≠ 117

C. 6² +9² = 36 +81 = 117 . . . . this (C) is the correct choice

and, for completeness, ...

D. 9² +12² = 81 +144 ≠ 117

_____

Working out

You can also actually work the problem. The Pythagorean theorem tells you ...

x² + (x+3)² = (√117)²

2x² +6x +9 = 117

2x² +6x = 108 . . . . subtract 9

x² +3x = 54 . . . . . . divide by 2

x(x +3) = 54 . . . . . . factor

Now, you can compare to your memorized times tables, where you find 6×9 = 54, so you know that x=6.

In case times tables are a challenge, you can continue to complete the square:

x² +3x +1.5² = 54 +1.5²

(x +1.5)² = 56.25 = 7.5² . . . . write as squares

x = 7.5 -1.5 = 6 . . . . . . . . . . . square root, subtract 1.5

The value of x is 6.

_____

The other solution to the quadratic equation is x=-9, but negative segment lengths make no sense. We acknowledge, then ignore, that extraneous solution.

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3 years ago

Today, everything at a store is on sale. The store offers a 20% discount. The regular price of a shirt is $14. What is the disco

USPshnik [31]

Answer:

$11.20

Step-by-step explanation:

The regular price of the T-Shirt is $14 dollars. The discount is 20% off.

20 percent of 14:

14 * 0.2 = 2.80

You would save $2.80.

14 - 2.80 = 11.20

The discount price should be $11.20.

Hope this helps.

4 0

3 years ago

Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

2 years ago

PLEASE HELP MEE

Snowcat [4.5K]

Answer:

Option A= 250

Step-by-step explanation:

Coterminal angles are angles in standard positions having thesame terminal .

Coterminal angles are always negative and positive.

For example:

The coterminal angle of 30° is-

30 - 360 = -330

30 + 360 = 390

Therefore, -330 and 390 are coterminal.

So, to the question:

The angles between 0 -360 coterminal to -110 is 250.

Prove:

250 - 360 = -110

250 + 360 = 610

Option A is correct

5 0

3 years ago

Classify △ABC

tensa zangetsu [6.8K]

Answer:

b and d

Step-by-step explanation:

4 0

2 years ago