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3 years ago

I need glow thank you appreciated

Mathematics

2 answers:

saveliy_v [14]3 years ago

7 0

I think it’s D because it needs -1 and none of the others have that.

garri49 [273]3 years ago

4 0

D bc it needs to have a y intercept of -1

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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

6 0

3 years ago

Evaluate the radical.<br><br> 1000−−−−√3

scoray [572]

( 1000 )^1/3
= ( 10 ^3 )^ 1/3

= ( 10 ) ^ 3 × 1/3

= 10

I hope this will useful to you.

6 0

3 years ago

Evaluate the following for x= -2 and y = 4 and please show your steps along the

Margaret [11]

Answer:

Step-by-step explanation:

5(-2)² - 3(4)/(2(-2))=

5(4) -12/(-4)=

20 + 3 = 23

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3 years ago

2 people working at the same rate will take 9 hours to paint a room.

Lera25 [3.4K]

Answer:

a)6 hrs

b)faster

Step-by-step explanation:

a) 9*2/3=6

6 0

3 years ago

31.61 is 436% of what

LenaWriter [7]

31,61 ----- 436%
x ----------- 100%
------------------------

x = 31,61*100/436 = 3161/436 = 7,25

hope this will help you

7 0

3 years ago

Read 2 more answers