Which value of x will make the equation2x-30=6 true?

Answers

Answer 1

Answer: 18 should be the value of x to make the equation true.

2x - 30 = 6

2x = 6 + 30
2x = 36
2x/2 = 36/2
x = 18

to check:
2x - 30 = 6
2(18) - 30 = 6
36 - 30 = 6
6 = 6

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The shorter leg of a right triangle is 6 feet shorter than the longer leg. The hypotenuse is 6 feet longer than the longer leg. Find the side lengths of the triangle.

Answers

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Step-by-step explanation:

Let,

Longer leg = a = x

Shorter leg = b = x - 6

Hypotenuse = c = x + 6

As the triangle is right angles, therefore, using pythagoras theorem;

$a^2+b^2=c^2\n(x)^2+(x-6)^2=(x+6)^2\nx^2+(x^2-12x+36)=x^2+12x+36\nx^2+x^2-12x+36=x^2+12x+36\n 2x^2-12x+36=x^2+12x+36$

Adding (-x² - 12x-36) on both sides

$2x^2-12x+36-x^2-12x-36=x^2+12x+36-x^2-12x-36\nx^2-24x=0$

Taking x common;

$x(x-24)=0\n$

Either,

x=0

or,

x-24 = 0 => x=24

As length cannot be 0 therefore,

Longer leg = x = 24 feet

Shorter leg = x-6 = 24-6 = 18 feet

Hypotenuse = x+6 = 24+6 = 30 feet.

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Keywords: triangle, addition

Learn more about triangles at:

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How much sides do a hectagon has

Answers

If you meant "heptagon" then that would be seven sides. If this is not the answer you were looking for or you may want help with other shapes then go to goo.gl/5f4yYn

Im assuming that you meant heptagon, i dont really think that there is such thing named hectagon.
But if you are looking for heptagon, it has 7 sides.

Solve for x. 4x−4<8 AND9x+5>23

Answers

The solution for 4x - 4 < 8 is x < 3

The solution for 9x + 5 > 23 is x > 2

The given inequality is:

4x - 4 < 8

Add 4 to both sides

4x - 4 + 4 < 8 + 4

4x < 12

Divide both sides by 4

$(4x)/(4) < (12)/(4) \nx < 3$

The second inequality is:

9x + 5 > 23

Subtract 5 from both sides of the inequality

9x + 5 - 5 > 23 - 5

9x > 18

Divide both sides by 9

$(9x)/(9) > (18)/(9)\nx > 2$

The solution for 4x - 4 < 8 is x < 3

The solution for 9x + 5 > 23 is x > 2

Learn more here:brainly.com/question/17448505

What is this answer?????

Answers

$50+x \leq 50$

Subtract 50 from both sides:

$50+x-50 \leq 50 - 50$

$x \leq 0$

hope this helps!

Graph the equation and identify the y- intercept y=1/4 x

Answers

y intercept is where th line crosses the y axis or when x=0

set x=0

y=1/4(0)
y=0

y intercept is 0 aka (0,0)

to graph, we need slope
subsitute poits
x=4, y=1
x=8,y=2
graph points (0,0), (4,1), (8,2)

Pls help How many times larger is (1.008 × 101) than (6 × 10−1)?

0.168
5.95
11.682
16.8
(if you could explain how to do this it would really help)

Answers

Answer: the answer is 16.8

Step-by-step explanation: if you simplify you get 10.08 and 0.6

then if you do process of elimination to weed out the non answers by multiplying each option by 0.6 to find the one that equals 10.08 you get 16.8

0.6 x 16.8 = 10.08

I think the answer going to be 16.8

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A wide screen television display measures approximately 15 inches high and 27 inches wide. A television is advertised by giving the approximate length of the diagonal of its screen. How should the television be advertised?A) 36 in. B) 31 in. C) 30 in. D) 21 in.