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lorasvet [3.4K]
3 years ago
7

In the figure below, m /1 (x-97 and m.2 -Find the angle measures.

Mathematics
1 answer:
Over [174]3 years ago
7 0
Hi i dont have the answer to this but may i ask what type of math is this 

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Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
IRISSAK [1]

Answer:

One other zero is 2+3i

Step-by-step explanation:

If 2-3i is a zero and all the coefficients of the polynomial function is real, then the conjugate of 2-3i is also a zero.

The conjugate of (a+b) is (a-b).

The conjugate of (a-b) is (a+b).

The conjugate of (2-3i) is (2+3i) so 2+3i is also a zero.

Ok so we have two zeros 2-3i and 2+3i.

This means that (x-(2-3i)) and (x-(2+3i)) are factors of the given polynomial.

I'm going to find the product of these factors (x-(2-3i)) and (x-(2+3i)).

(x-(2-3i))(x-(2+3i))

Foil!

First: x(x)=x^2

Outer: x*-(2+3i)=-x(2+3i)

Inner:  -(2-3i)(x)=-x(2-3i)

Last:  (2-3i)(2+3i)=4-9i^2 (You can just do first and last when multiplying conjugates)

---------------------------------Add together:

x^2 + -x(2+3i) + -x(2-3i) + (4-9i^2)

Simplifying:

x^2-2x-3ix-2x+3ix+4+9  (since i^2=-1)

x^2-4x+13                     (since -3ix+3ix=0)

So x^2-4x+13 is a factor of the given polynomial.

I'm going to do long division to find another factor.

Hopefully we get a remainder of 0 because we are saying it is a factor of the given polynomial.

                x^2+1

              ---------------------------------------

x^2-4x+13|  x^4-4x^3+14x^2-4x+13                    

              -( x^4-4x^3+ 13x^2)

            ------------------------------------------

                                 x^2-4x+13

                               -(x^2-4x+13)

                               -----------------

                                    0

So the other factor is x^2+1.

To find the zeros of x^2+1, you set x^2+1 to 0 and solve for x.

x^2+1=0

x^2=-1

x=\pm \sqrt{-1}

x=\pm i

So the zeros are i, -i , 2-3i , 2+3i

7 0
3 years ago
A single die is rolled twice. Find the probability of rolling an oddnumber the first time and a number greater than 2 the second
harkovskaia [24]

Answer:

1/3.

Step-by-step explanation:

The 2 events are independent so we multiply the 2 probabilities.

Prob(rolling an odd number) = 3/6 = 1/2.

Prob(rolling a number greater than 2) = 4/6 = 2/3.

The required probability = 1/2 * 2/3

= 2/6

= 1/3.

5 0
3 years ago
Which measure is less than 435 inches<br><br> A 37ft<br> B 36ft 10 in<br> C 12yd 3in<br> D 12ft 3in
Klio2033 [76]
A) 37 ft = 444 in
B) 36 ft = 432 in
C) 12 yd = 432 in
D) 12 ft = 144 in

B, C, and D are less than 435 inches

4 0
3 years ago
-12 +15 + (-30) +17= (?)
tino4ka555 [31]

Answer:

-10

Step-by-step explanation:

-12+15=3

(-30)+17=-13

3+(-13)=-10

7 0
2 years ago
Find x.<br> 20 cm<br> 12 cm<br> Х<br> X =<br> cm
frez [133]
Use pythagorean therom, so A^2 would be 12 since it’s the same lengths the square sides, and C^2 is 20. X= 16
6 0
3 years ago
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