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Stels [109]
3 years ago
14

Give that j ll k, what is the measure of the missing angle?A)30°B)40°C)60°D)120°

Mathematics
1 answer:
kondaur [170]3 years ago
8 0
Missing angle is 60 degrees
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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
Prove that the value of the expression: (125^2+25^2)(5^2–1) is divisible by 39
prisoha [69]

Answer:

(1252+252)(52−1)

=(1252+252)(52+−1)

=(1252)(52)+(1252)(−1)+(252)(52)+(252)(−1)

=390625−15625+15625−625

=390000

divide by 39 is

=10000

4 0
3 years ago
SomeOne Please help me answer this question.
saw5 [17]

Answer: 79 degrees

Step-by-step explanation:

4x+1 + 3x+4 = 180

7x + 5 = 180

7x = 175

x = 175:7 = 25

m8 = 3x + 4 = 3*25 + 4 = 79

3 0
3 years ago
Helppppppp. Find k if the lines 3x-5y=9 & 2x+ky=11 are a)parallel and b)perpendicular
V125BC [204]
For lines to be parallel, they have to have the same slopes. For the equation given as Ax + By + C = 0, the slope is -A / B. Equating the slopes of the given equations of lines,
                                      - (3 / -5) = - (2 / k)
The value of k is equal to -10/3. 
7 0
3 years ago
Read 2 more answers
Label the dividend, divisor, and quotient in the problem 27,438 divided by 9 equals 3,048 r6.
Alika [10]
The dividend is the number being divided so the dividend is 27,438
The divisor is the one dividing the number so the divisor is 9
The quotient is your answer so you quotient is 3048

Your answer is C.

Hope this helps!

7 0
3 years ago
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