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garik1379 [7]
3 years ago
13

Equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Mathematics
1 answer:
fomenos3 years ago
5 0

Answer:

y=1/3x+5 hope it helps you

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Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.
PtichkaEL [24]
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250. 

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a). 
In this case, 
f(x)=x^3-75x+250 
(x+a)=(x+10) 
Therefore, the remainder f(-a)=f(-10) 

=x^3-75x+250 
=(-10)^3-(75*-10)+250 
=-1000+750+250 
=1000-1000 
=0. 
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
8 0
3 years ago
Use the figure to determine the intersection of planes EAB and EFG
vredina [299]

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

7 0
3 years ago
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Klio2033 [76]

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Take 1/4 of the number and that's it

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Step-by-step explanation:

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Step-by-step explanation:

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