Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Angle K = angle M
(4x-1)=(2x+27)
4x-2x=27+1
2x=28
x=14
K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees
[|] Answer [|]
[|] Explanation [|]
3x + 5 = 23
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Subtract 5 From Both Sides:
3x + 5 - 5 = 23 - 5
Simplify:
3x = 18
Divide Both Sides By 3:
Simplify:
X = 6
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- Check Your Work -
Substitute 6 For X:
3 * 6 + 5 = 23
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
3 * 6 = 18
18 + 5 = 23
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Sine you know that the angle is eighty, you could use twenty times sin80. Sin 80 represents opposite of hypotenuse, so 20 is the hypotenuse, canceling the denominator out giving the height only.
Answer:
angle 3
Step-by-step explanation:
because a supplementary angle is an angle that equals 180 or just a straight line.
