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3 years ago

Simplify the expressions. Show your work. 3x(4x^4-5x)

1 answer:

8 0

The first step to simplifying this expression is to multiply each te in the parenthesis by 3x.
3x × 4 $x^{4}$ - 3x × 5x
Now calculate the first product in this expression.
12 $x^{5}$ - 3x × 5x
Calculate the second product in this expression.
12 $x^{5}$ - 15 $x^{2}$
Since you cannot simplify this expression any further,, the correct answer to your question is 12 $x^{5}$ - 15 $x^{2}$ .
Let me know if you have any further questions
:)

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A triangular pyramid has a height of 9 yards and a base with an area of 24 square yards. What is the volume of the pyramid?

HACTEHA [7]

Answer:

1728 yds

Step-by-step explanation:

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2 years ago

How do you solve 2m-10=44+8m

Damm [24]

Answer:

m = -9

Step-by-step explanation:

2m-10=44+8m

Subtract 2m from each side

2m-2m-10=44+8m-2m

-10 = 44+6m

Subtract 44 from each side

-10-44 = 44-44+6m

-54 = 6m

Divide by 6

-54/6 = 6m/6

-9 = m

6 0

3 years ago

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Find the numerical value of the log expression. \log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3 loga=7logb=10logc=3 \log \

bija089 [108]

Answer:

Step-by-step explanation:

$\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}$

The applicable rules of logarithms are ...

log(ab/c) = log(a) +log(b) -log(c)

log(a^b) = b·log(a)

6 0

3 years ago

Help picture below problem 17

mixas84 [53]

Answer:

Step-by-step explanation:

Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.

To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).

That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.

105 + 35 = 140

Now, let's subtract that from 180.

180 - 140 = 40

We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!

I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)

3 0

2 years ago

Two parallel lines are _____ coplanar.

dimulka [17.4K]

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes $\alpha$ and $\beta$ are parallel. Consider pair of lines $a$ and $a_1$ - they are parallel, but if you consider the pair of lines $a$ and $b_1$ , you can see they are not parallel.

8 0

3 years ago

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