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2 years ago

Passing through point (4, 9) and perpendicular to the line y= -1/5x -3

Mathematics

1 answer:

Ratling [72]2 years ago

6 0

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

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rocky reifenstuhl won the 130-mile race on his bicycle. he finished in 11 hours and 45 minutes. What was his average speed in mi

Marat540 [252]

R=D/T

130 = r x 11.75

R=130/11.75=11.06

11.06 MPH

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3 years ago

The measures of the angles between the resultant and two applied forces are 26° and

erma4kov [3.2K]

Answer:

48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

a/sin(A) = c/sin(C)

x/sin(26°) = 80/sin(134°)

x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.

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2 years ago

What is the length of the unknown leg of the right triangle?

Alik [6]

1. Use the Pythagorean Theorem since this is a right triangle:

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

b^2 = 4^2 - 3^2

b = √ 7

b = 3

answer : 3

8 0

3 years ago

1. Hoover Dam spans the Colorado

Alona [7]

BEST estimate of this amount is $2(10^{7})$ . Correct option A. 2 x 10^7 .

<u>Step-by-step explanation:</u>

Here we have , Hoover Dam spans the Colorado River on the Nevada-Arizona state line. For its construction, the federal government purchased 21,670,000 pounds of gates and valves. We need to find BEST estimate of this amount . Let's find out:

21,670,000 pounds

⇒ 21,670,000 pounds

⇒ $21,670,000$

⇒ $2167(10^{4})$

⇒ $2.167(10^{3})(10^{4})$

⇒ $2.167(10^{3+4})$

⇒ $2.167(10^{7})$

Now, Rounding of 2.167 we get 2 ,So

⇒ $2(10^{7})$

Hence , BEST estimate of this amount is $2(10^{7})$ . Correct option A. 2 x 10^7 .

5 0

3 years ago

How can you compare ratios to solve a problem?

Sindrei [870]

“To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.”
I hope this helps.

6 0

3 years ago

Read 2 more answers