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1 year ago

Which of the following slopes of a line pass through points (1, -3) and (0, 2)?

Mathematics

1 answer:

Aloiza [94]1 year ago

6 0

The slope of the line that passes through (1, -3) and (0, 2) is: B. m = -5.

<h3>What is the Slope of a Line?</h3>

Slope (m) = rise / run = change in y / change in x.

Given the points, (1, -3) and (0, 2):

Slope (m) = (-3 - 2)/(1 - 0)

Slope (m) = -5/1

Slope (m) = -5

Therefore, the slope of the line is: B. m = -5.

Learn more about the slope of a line on:

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vesna_86 [32]

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2 years ago

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Write each ratio as a fraction in simplest form. The explain it’s meaning.

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2 years ago

The scouts packed 9 boxes of different kinds of chips for their trip. Each box had 10 bags of chips. These clues show what they

Katarina [22]

The scouts eat 51 bags of chips on their trip

<h3>How to determine the number of bags of chips?</h3>

The given parameters are:

Boxes = 9

Bag = 10 chips

2 full boxes of potato chips and 3 bags left over.

This represents:

Potato chips = 2 * 10 + 3

Potato chips = 23 i.e. 23 bags potato chips are left over

1 fewer box of nacho chips than potato chips, with no bags left over

This represents

Nacho chips = (2 - 1) * 10

Nacho chips = 10 i.e. 10 bags of nacho chips are left over

The loose bags of potato chips is 3.

So, we have:

Barbecue chips = 2 * 3 bags

Barbecue chips = 6 bags

At this point, we have:

Potato chips = 23 bags
Nacho chips = 10 bags
Barbecue chips = 6 bags

The total number of bags left over is

Total = 23 + 10 + 6

Total = 39

The number of bags eaten is:

Eaten = 9 * 10 - 39

Evaluate

Eaten = 51

Hence, the scouts eat 51 bags of chips on their trip

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6 0

2 years ago

Home sizes in Anytown, USA have a mean of 2400 square feet and a standard deviation of 450 square feet. What is the probability

lesya [120]

Answer:

0.00084

Step-by-step explanation:

We are given that

Mean, $\mu=2400$ square feet

Standard deviation, $\sigma=450$ square feet

n=50

We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.

$P(x$

Using the formula

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$P(x$

$P(X$

Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084

7 0

3 years ago

If a = 2b^3 and b = − 1/ z c^−2, express a in terms of c.

m_a_m_a [10]

Answer:

a = -2 z^-3 c^6

Step-by-step explanation:

equations are given as

a = 2b^3 .....1 and

b = -1/ z c^-2 .....2

put the value of b in eq 1

a = 2(-1/z c^-2)^3

a = 2(-1/z^3 c^-6)

or a = -2 z^-3 c^6

5 0

3 years ago