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zhuklara [117]
3 years ago
8

Selena rides her bicycle to work . It takes her 15 minutes to go 3 miles . If she continues at the same rate , how long will it

take her to go
Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

How long will it take her to go what?

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consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
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3 years ago
A fluid moves through a tube of length 1 meter and radius r=0.002±0.00015
lara31 [8.8K]
It so big problem
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HELP!
artcher [175]

Answer:

B.Obtuse

as shown in the pictures that you put the angel is obtuse

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2 years ago
Diana can type 100 form letters
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2 years ago
Is the Y value of the vertex of 4x squared plus 8X minus 8. help meee​
SIZIF [17.4K]

Answer:

y = -12

Step-by-step explanation:

You first calculate the x coordinate using the equation x = \frac{-b}{2a}, which in this case is \frac{-8}{8} = -1.

Then plug that x value into the equation to get the y coordinate:

4(-1)²+8(-1)-8 = -12

8 0
3 years ago
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