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oee [108]
3 years ago
11

What is the absolute value of -5+9

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
The answer is 4
This is because |-5+9|=|-4| which equals 4
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Write an equation to show the relationship between a and c when a = b + 9 b = c - 2​
ICE Princess25 [194]

Given:

The equations are:

a=b+9

b=c-2

To find:

The equation that show the relationship between a and c.

Solution:

We have,

a=b+9               ...(i)

b=c-2               ...(ii)

Equation (i) can be rewritten as:

a-9=b              ...(iii)

From (ii) and (iii), we get

a-9=c-2

a-c=9-2

a-c=7

Therefore, the required equation is a-c=7.

4 0
3 years ago
PLEASE HELP!!!
Alekssandra [29.7K]
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3 years ago
Calculate the slope of a line passing through the points (- 2, 4), (- 1, 1) , and (1, - 5)
lawyer [7]

Answer:

The slope of the line is -3

Step-by-step explanation:

Slope formula:

m = y₂ - y₁ / x₂ - x₁

Get any two points:

(-2, 4) and (-1, 1)

Solve:

m = 1 - 4 / -1 - (-2)

m = -3 / -1 + 2

m = -3 / 1

m = -3

Check for the third point just in case.

Two points:

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

Solve:

-3 = -5 - 1 / 1 - (-1)

-3 = -6 / 1 + 1

-3 = -6 / 2

-3 = -3

So -3 is the legit slope of the three collinear points.

3 0
3 years ago
What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin
TiliK225 [7]

Answer:

\large\boxed{y-intercept=20}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{3}{5}x+10\to m_1=\dfrac{3}{5}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{3}{5}}=-\dfrac{5}{3}.\\\\\text{The equation of the searched line:}\ y=-\dfrac{5}{3}x+b.\\\\\text{The line passes through }(15,\ -5).

\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\\\\-5=-\dfrac{5}{3}(15)+b\\\\-5=(-5)(5)+b\\\\-5=-25+b\qquad\text{add 25 to both sides}\\\\b=20\\\\\boxed{y=-\dfrac{5}{3}x+20}

8 0
4 years ago
What is the volume of the rectangular prism if the length is 3/4 the width is 2/3 and the hight is 1/2
Leno4ka [110]
Multiply it all together 3/4 is 0.75 2/3 is 0.66 1/2 is 0.5 now do in your calculator 0.75+0.66+0.5 and becase everything is in fractions remember that you have to convert your decimal into a fraction your answer is 1 91/100
6 0
4 years ago
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