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m_a_m_a [10]
3 years ago
11

16. solve for x. Please show work step by step.

Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0
The value of x is 2.

To solve for each, we have to know the relationship between the segments of secants in this problem.

It can be written as the equation below:
3(3 + 5) = 4(4 + x)
3(8) = 16 + 4x
24 = 16 + 4x
8 = 4x 
2 = x
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What is -1/9 + 2/9 equal to
Orlov [11]

Answer:

1/9

Step-by-step explanation:

7 0
3 years ago
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Simplify the expression. x2 + x - 6 /x2 - 4 · x2 - 9/ x2 + 6x + 9
Agata [3.3K]

we are given

\frac{(x^2+x-6)}{(x^2-4)}*\frac{(x^2-9)}{(x^2+6x+9)}

step-1: Factor terms

x^2+x-6=(x+3)(x-2)

x^2+6x+9=(x+3)^2

x^2-4=(x-2)(x+2)

now, we can plug these values

and we get

=\frac{(x+3)(x-2)}{(x-2)(x+2)}*\frac{(x-3)(x+3)}{(x+3)^2}

step-2: Cancel common terms

we get

=\frac{(x+3)}{(x+2)}*\frac{(x-3)}{(x+3)}

we can again cancel numerator and denominator

and we get

=\frac{(x-3)}{(x+2)}.............Answer


7 0
4 years ago
Multiply.<br><br> (−9/12) x 4/5<br><br> What is the product?
patriot [66]

Answer:

-3x/5

Step-by-step explanation:

5 0
3 years ago
Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-
Vilka [71]

Answer:

9/5 < m < 9/4

Step-by-step explanation:

The conditions are:

  • The line passes through (9,4)
  • x-intercept is negative
  • The slope (m) is greater than its y-intercept

If we take a point like (-1,0)

Slope (m) = change in y ÷ change in x = \frac{0 - 9}{-1 - 4}  = \frac{-9}{-5} = 9/5

This point satisfies the conditions above since;

  1. The line passes through points (9,0) and (-1,0)
  2. The x-intercept is negative i.e -1
  3. The y-intercept is 0 and the slope which equals 9/5 is greater than 0

From the choices given;

we can say that:

m > 9/5 and m < 9/4

And can be expressed as;

9/5 < m < 9/4

8 0
3 years ago
How many kilograms of pasta will each person get if 4 people share 1/2 of a kilogram of pasta equally?
Elenna [48]

Answer:

1/8 kg

Step-by-step explanation:

7 0
3 years ago
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