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3 years ago

Find the equation of the line that is perpendicular to the given line and passes through the given point.

Mathematics

1 answer:

Solnce55 [7]3 years ago

7 0

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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If 6^a × 2^b=3^x what is 2^a+b?

PSYCHO15rus [73]

Answer:

$6^a \times 2^b=3^x\\3^a \times 2^a \times 2^b=3^x\\2^{a+b}=\frac{3^x}{3^a} =3^{x-a}$

Step-by-step explanation:

3 0

3 years ago

The water pressure for a standard fire hydrant is 20 pounds per square inch. Convert this to

Kaylis [27]

<h3>Answer: 2880 pounds per square foot</h3>

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Explanation:

psi = pounds per square inch

1 foot = 12 inches

1 square foot = 144 square inches

I squared both sides to get the second equation. Think of a 12 by 12 square representing 12 inches along each side, so that leads to 12*12 = 144 square inches being the same as 1 square foot.

That last equation helps us convert from square inches to square feet like so:

$20 \text{ psi} = \frac{20 \text{ pounds}}{1 \text{ square inch}}\\\\20 \text{ psi} = \frac{20 \text{ pounds}}{1 \text{ square inch}}*\frac{144 \text{ square inches}}{1 \text{ square foot}}\\\\20 \text{ psi} = \frac{20*144}{1*1}*\frac{\text{ pounds}}{\text{ square foot}}\\\\20 \text{ psi} = \frac{2880 \text{ pounds}}{1 \text{ square foot}}\\\\20 \text{ psi} = 2880 \frac{\text{ pounds}}{\text{ square foot}}\\\\20 \text{ psi} = 2880 \text{ pounds per square foot}\\\\$

Notice in the jump from the second step to the third step, we have the "square inches" unit cancel out when dividing. All that's left is "pounds" up top and "square foot" down below.

In short, we simply multiply by 144 to go from 20 to 2880.

5 0

2 years ago

What is the value of 2|6 + p| - 3p3 when p = -2?

nexus9112 [7]

Substitute the value of the variable into the equation and simplify.
32 is the answer.

4 0

3 years ago

Miss Perry bought 165 cm of ribbon for her dolls hair.

LiRa [457]

Well, since each doll hair is 22cm, and she had a total of 165cm.

Then number of dolls would be = 165/22 = 7.5

The actual number of dolls = 7. We would drop the .5.

7, Seven.

5 0

4 years ago

Read 2 more answers

A granola bite contains 27 calories. Most of the calories come from $$ grams of carbohydrates. The rest come from other ingredie

Yakvenalex [24]

Answer:

c = 5.5

Step-by-step explanation:

c represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 4 \

times 3 + 5 = 17

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

So, solution to the equation is: c = 5.5

8 0

3 years ago