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3 years ago

Given the rectangle ABCD, AB has a slope of 2/3, what is the slope of BC?

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

slope = - $\frac{3}{2}$

Step-by-step explanation:

note that BC is perpendicular to AB, hence the slope of BC is the negative reciprocal of the slope of AB

$m_{BC}$ = - $\frac{1}{2/3}$ = - $\frac{3}{2}$

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QUESTION 3 - Distinguish whether the following pairs of events are dependent

TiliK225 [7]

Two eventis are independent if knowledge about the first doesn't change your expectation about the second.

a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.

b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.

a) Dependent: In this case, there is a cause-effect relation, so the events are dependent: knowing that a person is short-sighted makes you almost sure that he/she will wear glasses. So, knowledge about being short sighted changed your expectation about wearing glasses.

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3 years ago

Please help asap Two vertices of a polygon are (7, −18) and (7, 18) . What is the length of this side of the polygon?

Pavlova-9 [17]

You just need to find distance between two points
d= $\sqrt{(y2-y1)^2+(x2-x1)^2}$
d=6

6 0

3 years ago

Combining Like Terms

swat32

It would be a + because the 7 in 7y is positive, therefore it would be added to the X’s. if it was -7y, then the underline would be a –.

3 0

3 years ago

What interval notation represents the data graphed below?

Aliun [14]

Answer: Choice D

$(-\infty, -2) \cup [4, \infty)$

=====================================================

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying $-\infty < x < -2$

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to $4 \le x < \infty$

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be $(-\infty, -2) \cup [4, \infty)$

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

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2 years ago

Diana is painting statues. She has \dfrac{7}{8} 8 7 start fraction, 7, divided by, 8, end fraction of a liter of paint remaini

anzhelika [568]

Answer:

Number of statues that can be painted are 17

Step-by-step explanation:

Initially Diana has $\frac{7}{8}$ liters of paint remaining.