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4 years ago

a line is perpendicular to y=-4x-2 and intersects the point (0,9). what is the equation for this perpendicular line?

Mathematics

1 answer:

AysviL [449]4 years ago

3 0

Answer:

y=(1/4)x + 9 OR y=x/4 +9

Step-by-step explanation:

Perpendicular lines have a slope/gradient of -1/n

Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.

y=(1/4)x+b

(0,9) is the y-intercept, so b = 9

y=(1/4)x + 9 OR y=x/4 +9

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I need a little help with this 32(x−2)−5=19

pickupchik [31]

Answer:

x =11/4

Step-by-step explanation:

32(x−2)−5=19

Add 5 to each side

32(x−2)−5+4=19+5

32 (x-2) = 24

Distribute

32x -64 = 24

Add 64 to each side

32x-64+64 = 24+64

32x = 88

Divide by 32

32x/32 = 88/32

x = 88/32

Divide top and bottom by 8

x =11/4

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3 years ago

Last Sunday, a parking lot had 80 cars. Of those 80 cars, 30% were white, 24 were black, and the rest were blue. What percent of

dlinn [17]

Answer:

Step-by-step explanation

30% of 80 =24

White Cars=24

Black Cars=24

24+24= 48

80-48=32

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3 years ago

117 divided by 13 in equal groups

Alexxandr [17]

Answer:

Step-by-step explanation:

1x117 = 117

3x39 = 117

9x13 = 117

6 0

3 years ago

Y=1/4x+7 y=1/2x+5 The y-coordinate of the solution to the system shown is _____.

Brilliant_brown [7]

Answer:

The y-coordinate of the solution to the system shown is 9

Step-by-step explanation:

$y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5$

We need to solve these system of equations and find value of y

Let eq (1) be $y=\frac{1}{4}x+7$

and eq(2) be $y=\frac{1}{2}x+5$

Putting value of y from eq(2) into eq(1)

$y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8$

Putting value of x=8 in equation 1 to find value of y

$y = \frac{1}{4}x+7$

$y = \frac{1}{4}(8)+7$

$y =2+7$

$y =9$

So, The y-coordinate of the solution to the system shown is 9

8 0

3 years ago

Sort each set of triangle measurements into the appropriate category for number of possible triangles.

svetlana [45]

Answer: No Triangle: 30 , 85 , 60, 2,8,10

One Triangle: 7,24,25

Many Triangles: 45,45,90

5,15,160

Step-by-step explanation:

6 0

3 years ago