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AlexFokin [52]
3 years ago
13

Complete the point-slope equation of the line through (-5,4) and (1,6)

Mathematics
1 answer:
swat323 years ago
8 0
The slope is 1/3
hope that help
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What is the unit rate for 180 miles in 3 hours
Ugo [173]

Hello

Answer:

60 miles per hour

I have given a detailed explanation of the logic behind this.

Explanation:

Consider the structure of the wording: "miles per hour"

The word "per" means for each. There is you clue.

Each is, one of and one of is unit measurement

So the controlling element in this question is that you need to convert the 3 hours into 1 hour.

Using ratio properties

180

3

=

x

miles

1

hour

We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.

⇒

180

÷

3

3

÷

3

=

x

1

⇒

60

1

=

x

1

So the unit rate of speed is  

60

miles

per

−−−

hour

Hope this helps

Plz mark me as Brainliest

3 0
3 years ago
Directions : Factor each of the following Differences of two squares and write your answer together with solution​
N76 [4]

\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf\left(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{2}. The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

4 0
3 years ago
Read 2 more answers
Given solve triangle ABC. Round the answer to the nearest hundredth. A. A- 9.590, B8841°, c-11.89 B. A 9.590, B-8841, c 12.17 C.
nikitadnepr [17]
I think the answer is b
3 0
3 years ago
The measure of an angle is two times the measure of a supplementary angle. what is the measure of each angle
lara31 [8.8K]
Let the angles be x and (180-x).

Let 2x = 180-x.

Then 3x = 180, and x = 60.  One angle is 60 degrees and the other is 180-60, or 120, degrees.
5 0
3 years ago
What is the sum?<br> 6x^7 + 8x^7
BaLLatris [955]
Since both terms have the same variable to the same power, you can simply add the coefficients...

14x^7
3 0
3 years ago
Read 2 more answers
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