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Evgen [1.6K]
2 years ago
6

Through (2, -1), perp. to y = -2x-3

Mathematics
1 answer:
kramer2 years ago
6 0

9514 1404 393

Answer:

  y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

  b = y -mx . . . . . for line of slope m through point (x, y)

  b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

  y = 1/2x -2

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1. General Trades A roofer earns $24 per hour plus $36 per hour overtime. If he puts in 40 hours of regular time during a certai
snow_tiger [21]

Answer:

He should work 6\frac{2}{3} hours in overtime.

Step-by-step explanation:

Let x represents the number of hours of regular time and y represents the number of hours of overtime,

Since, earnings are $24 per hour for regular time and $36 per hour for overtime,

Thus, total earning = (24x + 36y) dollars,

Here, x = 40 hours and total earning = $ 1200,

By substituting the values,

1200 = 24(40) + 36y

1200 = 960 + 36y

240 = 36y

⇒ y = 6\frac{2}{3}\text{ hours}

Hence, he should work 6\frac{2}{3} hours in overtime.

5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Sophie [7]

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6 0
3 years ago
Please help me. 5(m-7)=-8(3m+8)
inessss [21]

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

7 0
3 years ago
What is 7 grams in milligrams?
hodyreva [135]

Answer:

7000 milligrams. hope this help

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3 years ago
How many 4 in. square tiles will it take to cover a room that measures 18 feet by 15 feet?
Natalka [10]
I believe the answer is 396
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