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nikdorinn [45]
2 years ago
5

Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?

Mathematics
1 answer:
diamong [38]2 years ago
8 0

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>
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The image below shows two parallel lines cut by a transversal. What is the measure of angle 1?
Yuri [45]

180 - 78 = 102

< 1 = 102*

5 0
3 years ago
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2
Zigmanuir [339]

Answer:

The weight of the water in the pool is approximately 60,000 lb·f

Step-by-step explanation:

The details of the swimming pool are;

The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet

The depth of the pool = 5 feet

The density of the water  in the pool = 60 pounds per cubic foot

From the question, we have;

The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g

The volume of water in the pool = Cross-sectional area × Depth

∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³

Acceleration due to gravity, g ≈ 32.09 ft./s²

∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N

266,196.089 N ≈ 60,000 lb·f

The weight of the water in the pool ≈ 60,000 lb·f

6 0
2 years ago
HELP ME PLZ SO VERY PLZ PLZ
yaroslaw [1]
The value of x will be 23
3 0
3 years ago
Read 2 more answers
I forgot how to do most of this yet they gave it to me as hw ‍♀️
svp [43]

18.

-2(-9)+3

18+3

21

Explanation: -2(-9) When multiplying numbers that have both a negative sign, the answer is positive. Multiply normally.

19.

-6(-4)0

24(0)

0

Explanation: -6(-4) As I explained before, the answer would be positive.

24(0) Every number multiplied by 0 is 0.

20.

56+(-7)

49

Explanation: 56+(-7) Any problem like this is just basically going to be 56-7.

21.

-36+(-4)

-40

Explanation: -36+(-4) You are simply adding normally then adding the sign. This will only work if the signs are the same. (Signs are positive and negative.)

   

8 0
3 years ago
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A farmer has 9 2/5 acres of land. If he sells 1 1/3 acres to his neighbor, how many acres of land does he have left?
UkoKoshka [18]
9 2/5 - 1 1/3 =
47/5 - 4/3 =
141/15 - 20/15 =
121/15 =
8 1/15 <==

4 0
3 years ago
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