Answer:
c = 2
Step-by-step explanation:
Substitute x = 1 + i into the equation
(1 + i)² - 2(1 + i) + c = 0 ← distribute left side
1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )
1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left
- 2 + c = 0 ( add 2 to both sides )
c = 2
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.
Answer:
Part A :
Area = π*r² = π(d/2)² = π*(8/2)² =
π*4² = π*16 square inches
Part B:
d=8+4 = 12 and r = d/2 = 6 inches
We know :
Area = π*r²
Area = π*6²
=36π
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we will select each options and find zeros
(a)

for finding x-intercept , we can set g(x)=0
and then we can solve for x

now, we can factor it

we get

so, this is TRUE
(b)

we can set it to 0
and then we can solve for x

we get

so, this is FALSE
(c)

we can set it to 0
and then we can solve for x




so, this is TRUE
(d)

now, we can set it to 0
and then we can solve for x


so, this is TRUE
(e)
we have

now, we can set it to 0
and then we can solve for x



so, this is FALSE
Area is supposed to be multiplied by 2.