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2 years ago

Use point-slope form to write the equation of a line that passes through the point

Mathematics

1 answer:

Ymorist [56]2 years ago

5 0

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

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Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le

Nookie1986 [14]

Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

Results of a poll stated that 40% of U.S.

If you want to test the claim at alpha = 0.05.

As we know:

Confidence level = 1 - significance level ( $\alpha$ )

Confidence level = $1 - 0.05$

Confidence level = $0.95$

Therefore, the confidence level is 95% or 0.95.

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3 years ago

Rationalize the denominator of the following expression and simplify:

Mama L [17]

To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.

we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so

$\bf \cfrac{6+\sqrt{2}}{5-\sqrt{2}}\cdot \cfrac{5+\sqrt{2}}{5+\sqrt{2}}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{(5-\sqrt{2})(5+\sqrt{2})}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{5^2-(\sqrt{2})^2}
\\\\\\
\cfrac{30+6\sqrt{2}+5\sqrt{2}+(\sqrt{2})^2}{25-2}\implies \cfrac{30+11\sqrt{2}+2}{23}\implies \cfrac{32+11\sqrt{2}}{23}$

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3 years ago

Expand and simplify 4 (2x-1) +3 (2x+5)

schepotkina [342]

4(2x - 1) + 3(2x + 5)
8x - 4 + 6x + 15
14x + 11 (the answer).

3, 1, -1, -3, -15 (the 10th term)
Let me know if you need working on this part :)

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3 years ago

Read 2 more answers

Classify each sequence as arithmetic, geometric, or neither by dragging it into the correct box.

garik1379 [7]

The sequences are classified, respectively, as:

Geometric, Arithmetic, Neither.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

In the first sequence, we have that:

$q = \frac{45}{15} = \frac{15}{5} = \frac{5}{\frac{5}{3}} = \frac{\frac{5}{3}}{\frac{5}{9}} = 3$

Hence it is a geometric sequence.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

In the second sequence, we have that:

d = -4 - 1 = 1 - 6 = 6 - 11 = 11 - 16 = -5

Hence it is an arithmetic sequence.

<h3>What about the third sequence?</h3>

$\frac{4}{3} \neq \frac{3}{2}, 1 - \frac{1}{2} \neq 2 - 1$

Hence it is neither arithmetic nor geometric.

More can be learned about geometric and arithmetic sequences at brainly.com/question/11847927

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8 0

2 years ago

4 solid cubes were made out of the same material. All four have different side lengths: 6cm, 8cm, 10cm, and 12cm. How to distrib

statuscvo [17]

Answer:

The volumes of the cubes are 6³ = 216, 8³ = 512, 10³ = 1,000 and 12³ = 1,728 for a combined volume of 216 + 512 + 1,000 + 1,728 = 3456 which means that each side of the scale must have a combined volume of 3456 / 2 = 1728. This means that in order for the scale to be balanced we need to put the 12 cm cube on one side and the other 3 cubes on the other side.

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3 years ago