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3 years ago

What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?

Mathematics

1 answer:

Grace [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Equation of a line = y = mx + c

where m = slope

m = (1 - 4) / (-2 - (-8))

y - 1 = -3/6 (x + 2)

6y - 6 = -3x - 6

3x + 6y = 0

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Two miners are trying to push a stationary mine cart filled with gold. Miner A is exerting 25 N while miner B is exerting 20 N.

Oliga [24]

Answer:

b. 45 N

Step-by-step explanation:

The sum of the forces exerted by the two miners = 25 + 20

= 45 N

Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.

Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.

Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.

6 0

3 years ago

Select the values that make the inequality y≥2y≥2 true.

ExtremeBDS [4]

9514 1404 393

Answer:

{2, 2.001, 2.01, 2.1, 3, 5, 7, 10}

Step-by-step explanation:

The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...

2 2.001 2.01 2.1 3 5 7 10

3 0

2 years ago

6(x - 2) = 3x - 12 + 3x

Andrei [34K]

6(x-2)=3x-12+3x
6x-12=6x-12

3 0

3 years ago

Evaluate 5y+x2÷2 when x=4 and y=−3. When x=4 and y=−3, 5y+x2÷2=

Alex Ar [27]

The answer is 5 x -3 + 4 x 2 / 2 = -15 + 8 / 2 = -11

6 0

3 years ago

If there are 48 boys and 64 girls and the teachers decided to put them each in in equal rows only boys or girls will be in each

german

Answer: 16

Step-by-step explanation:

The question seeks to know the largest number of people that can sit in each row.

To answer this, find the Highest Common Factor of the numbers 48 and 64.

Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64

Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.

There will be 7 rows in total.

Boys ⇒ 48/ 16 = 3 rows

Girls ⇒ 64/16 = 4 rows

5 0

3 years ago