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GuDViN [60]
3 years ago
15

What is 3 1/4 - (-5/8)

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

First we need to find a common denominator;

3 1/4 and -5/8 have a common denominator of 8

-5/8 already has 8 now we alter 3 1/4 to have 8 as the denominator as well.

if we make 3 1/4 into an improper fraction we would get 13/4

13/4 x 2/2 = 26/8, because 2 x 4 = 8 so we also apply that to the numerator

Now we have;

26/8 - (-5/8)

the two negatives combine to make a positive:

26/8 + 5/8

= 31/8 which simplifies to

3 7/8

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What is the volume of a right trianular prism with the dimesions of 15 11 17
Harlamova29_29 [7]

Answer:

1402.5 Cubic Units

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b - base

h - height

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V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5

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3 0
3 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
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