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Alinara [238K]
3 years ago
15

What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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siniylev [52]
WHAT DOES THIS MEAN? I’m confused
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3 years ago
What's the first step to solve this equation? *<br> h - 18/10 = –14
Lesechka [4]

Answer:

multiply by 10 on both sides

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Find the sum for each and present - 66 + 42​
Fed [463]

-24

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3 0
3 years ago
Read 2 more answers
What is the inverse of this function?
Andreas93 [3]

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

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4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

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8 0
2 years ago
A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

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20% of $(12794.23 - 3000)

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Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
3 years ago
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