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lara [203]
3 years ago
15

Can someone help me pls?Determine the measures of the unknown angles.

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

y= 65

x= 30

Step-by-step explanation:

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7/15 - .46

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Please help with 7 :))
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What Is Your. Answer
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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3​
Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

f(x)=x^4-2ax^3+ax^2- x+k

and

f(-1)=3

Answer:

k = -2 and a=1

Step-by-step explanation:

Given

f(x)=x^4-2ax^3+ax^2- x+k

Factor:\ x - 4

f(-1)=3

Required

Find a and k

For f(-1)=3

Substitute -1 for x

f(x)=x^4-2ax^3+ax^2- x+k

f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k

f(-1) = 1 - 2a *-1 + a*1 +1 + k

f(-1) = 1 +2a + a +1 + k

f(-1) = 2 +3a + k

Substitute 3 for f(-1)

3 = 2 +3a + k

Collect Like Terms

3 - 2 = 3a + k

1 = 3a + k

Also:

If x - 2 is a factor, then

f(2) = 0

Substitute 2 for x and 0 for f(x)

f(x)=x^4-2ax^3+ax^2- x+k

0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k

0 = 16 - 2a * 8 + a * 4 - 2 + k

0 = 16 - 16a + 4a - 2 + k

0 = 16 - 12a - 2 + k

Collect Like Terms

2 - 16 = - 12a + k

-14 = k - 12a

k = 12a - 14

Substitute 12a - 14 for k in 1 = 3a + k

1 = 3a + 12a - 14

1 = 15a - 14

Collect Like Terms

15a = 1 + 14

15a = 15

Solve for a

a = \frac{15}{15}

a=1

Substitute 1 for a in k = 12a - 14

k = 12 * 1 - 14

k = 12 - 14

k = -2

3 0
2 years ago
You want to estimate the number of students in your school who support extra funding for the history club. You survey every nint
Lyrx [107]

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

4 0
3 years ago
A school has two computer labs Each lap has 30 computers a total of six computers in the school or not working which expression
Eddi Din [679]

Answer:

Step-by-step explanation:

A school has two computer labs and each lan has 30 computers. This means that the total number of computers is the sum of the number of computers in each lab

Total number of computers = 30+30 = 60

A total of six computers in the school or not working.

The expression that can be used to find the number of working computers in the school will be

Let the number of computers that are working be x

the number of computers that are working is total number of computers minus the number of computers that are not working be

The expression that can be used to find the number of working computers in the school will be

x = 60 - 6

x = 54

6 0
2 years ago
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