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GuDViN [60]
3 years ago
15

#4

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0
............15n+12b
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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
3 0
3 years ago
Answer this please ​
otez555 [7]

Answer:

D

Step-by-step explanation:

Using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

Given

6^{-3}

= \frac{1}{6^{3} }

= (\frac{1}{6} )³

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3 years ago
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By using Associative, Commutative, and Distributive Properties in performing operations on complex numbers and polynomials, you would be able to simplify correctly and simply. To combine complex numbers, you must distribute any coefficients in front of the parentheses. Then identify and<span>combine like terms by combining the real number parts and the imaginary number parts separately.</span>
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Ronch [10]

Answer:

She will score 40 points in 30 minutes.

Step-by-step explanation:

30 minutes divided by 6 minutes is 5, times 8 points is 40 points.

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a herd of 86 horses has 75 white and some black horses.what is the ratio of black horses to white horses?
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