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3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

2 answers:

pogonyaev3 years ago

8 0

Answer: x = 5

Step-by-step explanation:

Here we want to solve the equation:

-2(x + 6) + 3 = -11x + 4(x + 4)

the first step is distribute the parentheses at both sides:

-2x -12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

now, we put all the termx with an x in one side, and the other ones in the other side.

-2x + 7x = 16 + 9

5x = 25

now we divide by 5 in both sides, in this way we can isolate x.

5x/5 = 25/5

x = 5

lawyer [7]3 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

We are given a linear single variable equation of x and we have to get the value of x from the equation.

Now, the equation is

- 2 ( x + 6 ) + 3 = - 11x + 4 ( x + 4 )

⇒ - 2x - 12 + 3 = - 11x + 4x + 16

⇒ 5x = 25

⇒ x = 5 (Answer)

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2 years ago

Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.

Anna [14]

Answer:

$a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

(2, 1) and (4, 5)

$m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}$

(-1, 0) and (3, -5)

$m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}$

(2, 1) and (-3, 1)

$m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}$

(-1, 2) and (-1, -5)

$m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}$

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2 years ago

What is the length of segment CD question mark

blagie [28]

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

$d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}$

8 0

3 years ago