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2 years ago

Find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)

1 answer:

4 0

Answer:

y = [1]x + [-5 ]

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )

the line that passes through (3, -2) : -2 = (3)+b
b = -5

the equation is : y = x-5

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Vladimir79 [104]

A will be the right answer

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3 years ago

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The quotient of nine less than 3 times a number and four is 21how to translate into a sentence

dedylja [7]

Hello,

Let's assume n the number searched.

nine less 3 times n is written 9-3n

$\dfrac{9-3n}{4} =21\\
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3 years ago

harkovskaia [24]

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

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3 years ago

Explicit equation for 5,10,20,40

eduard

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}$ = a $(r)^{n-1}$

Where a is the first term and r the common ratio

r = $\frac{10}{5}$ = $\frac{20}{10}$ = $\frac{40}{20}$ = 2

and a = 5, hence explicit equation is

$a_{n}$ = 5 $(2)^{n-1}$

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3 years ago

Find the vertex of this parabola: y=-4x^2+8x-12

tatiyna

<span>The vertex of the parabola is the highest or lowest point of the graph.

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8

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3 years ago

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