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cestrela7 [59]
3 years ago
13

Factor completely 5x^2 − 40.

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

5(x^2−8

Step-by-step explanation:

There you go

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Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1
Sholpan [36]

Answer:

x + 3y -z - 3 = 0      

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

\langle 3,0,3\rangle, \langle0,1,3\rangle

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0

It is the required equation of plane.

4 0
3 years ago
Choose the four factor pairs of 42.
Ipatiy [6.2K]

Answer:

the factors of 42 in pairs are (1, 42), (2, 21), (3, 14) and (6, 7).

Step-by-step explanation:

May I get brainelist?

4 0
3 years ago
What are the three solids naturally found in the atmosphere? water is one of them?
Free_Kalibri [48]
The answer is dust,salt and ice

three common solids are salt crystals,dust and smoke
And no water is not one!
8 0
3 years ago
Use inverse operations to solve the equations -7×=119×=
nignag [31]
The answer to they is x=0
6 0
3 years ago
Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal pl
mezya [45]

The sum of the given geometric sequence to 2 dp is 936.00

To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:

S_\infty=\frac{1}{1-r}

a is the first term

r is the common ratio

Given the sequence  S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1

a = 0.936

r = 0.935/0.936 = 0.998

Substitute into the formula

S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936

Hence the sum of the given geometric sequence to 2 dp is 936.00

Learn more here: brainly.com/question/24643676

3 0
3 years ago
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