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dexar [7]
3 years ago
15

Which of the following lines is perpendicular to y= 1/4 x-3 ​? Select all that apply. A. 8x-2y=3 B. y=-4x+6 C. y=4x D. y=4x+9 E.

4x-y=-2
Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

it is A. 8x-2y=3

i hope i helped

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
Evaluate 7(-4) - |-6| + |4|
Zanzabum

\red { \green {\boxed {\boxed{Answer}}}}

= 7( - 4) -  | - 6|  +  |4|

=  - 28 -  | - 6 |  +  |4|

=  - 28 - 6 +  |4|

=  - 34 +  |4|

=  - 34 + 4

=  - 30

The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.

 ‍ 

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

7 0
3 years ago
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