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Nikolay [14]
3 years ago
9

Factor a 2 bc + ab 2 c + abc2

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

abc\left(a+b+c\right)  is the required answer.

Step-by-step explanation:

a^2bc+ab^2c+abc^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\\\=aabc+abbc+abcc\\\\=bac\left(a+b+c\right)

Best Regards!

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Find an equation of the line passing through the point (-1,8) and parallel to the line joining the points (-3,4) (4,-1).
bulgar [2K]

Answer:

The equation of the line will be 7y=(-5x)+51

Step-by-step explanation:

If a line passes through two points (x,y) and (x',y') then slope of the line will be = \frac{y-y'}{x-x'}

Now we know the points are (-3,4) and (4,-1) then the slope of the line will be =\frac{4-(-1)}{(-3-4)}=\frac{5}{(-7)} =(-\frac{5}{7})

We know that two parallel lines have the same slope then a line which is passing through a point (-1,8)will be =( -\frac{5}{7})

Let the equation of the line is y=mx+c

Then by putting the value of x,y and m we can get the value of c.

8=(-\frac{5}{7})+c

c=8-\frac{5}{7} \\c=\frac{56-5}{7} =\frac{51}{7}

Then equation will be y=(-\frac{5}{7})x+\frac{51}{7}

7y=(-5x)+51


5 0
4 years ago
need answers to these two questions with work, must find the measurement indicated using the law of sines. round answer to the n
sweet [91]

Applying the law of sines, the measurement indicated are:

7. AB = 24.1 cm

8. BC = 28.0 in.

<h3>What is the Law of Sines?</h3>

Law of sines is: sin A/a = sin B/b = sin C/c.

7. AB (c) = ?

BC (a) = 22 cm

A = 180 - 138 - 22 = 20°

C = 22°

Apply the law of sines:

sin 22/AB = sin 20/22

AB = (sin 22 × 22)/sin 20

AB = 24.1 cm

8. BC (a) = ?

A = 58°

AC (b) = 33 in.

B = 180 - 58 - 33 = 89°

Apply the law of sines:

sin 58/BC = sin 89/33

BC = (sin 58 × 33)/sin 89

BC = 28.0 in.

Learn more about the law of sines on:

brainly.com/question/2807639

#SPJ1

5 0
2 years ago
A cone has a radius of 5 inches and a height of 18 inches.
pychu [463]
It would be C., because to find the volume, you would have to multiply the radius by itself, to get the diameter. Then, the answer you get will have to be multiplied by the height.: 5 times 5 equals 25, and then 25 times 18 equals 450.
5 0
4 years ago
Plz help finding x. Will give brainliest
sweet-ann [11.9K]

Answer:

x=120^o

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the measure of angle ABC

we know that

m\angle ABC=70^o ----> by alternate interior angles

step 2

Find the measure of angle x

we know that

The <u><em>Exterior Angle Theorem</em></u> states that The exterior angle of a triangle is equal to the sum of the two opposite interior angles

so

In the triangle ABC

x=m\angle ABC+m\angle ACB

we have

m\angle ABC=70^o

m\angle ACB=50^o

substitute

x=70^o+50^o=120^o

6 0
4 years ago
What fraction of a gallon is 3 pints
dedylja [7]
1/2 a gallon would be 3 pints
7 0
3 years ago
Read 2 more answers
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