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FromTheMoon [43]
3 years ago
10

Answer as many as you can please (write in slope-intercept form)

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{1-13}{3-(-6)} =\frac{-12}{9}

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

y=-\frac{12}{9} x+b

3=-\frac{12}{9}(1)+b

-\frac{9}{4} =b

The slope-intercept form is y=-\frac{12}{9} -\frac{9}{4}.

For the third one, we are already given the slope, so all we have to do is find b.

y=-\frac{1}{2}x +b

-7=-\frac{1}{2} (-4)+b

-7=2+b

-9=b

The slope-intercept form is y=-\frac{1}{2} x-9.

For the last one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{-8-2}{3-1}=\frac{-10}{2}  =-5

Now that we have our slope, we can plug it into our slope-intercept form and find b.

y=-5x+b

2=-5(1)+b

2=-5+b

7=b

Our slope-intercept form is y=-5x+7.

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What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?
enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box 2\frac{1}{2} inches

                           =\frac{5}{2} inches  

Length of the box 1\frac{3}{4}inches

                           =\frac{7}{4} inches

Height of the box 3\frac{1}{4} inches

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The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

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volume of the box is  ( \frac{5}{2}  × \frac{7}{4} × \frac{13}{4} )

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 The volume of the box is 41.21 inches cube.

8 0
3 years ago
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