Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
And that:
And we want to now for which values of x is h(x) undefined.
So, by substitution:
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
Add 9 to both sides:
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
And we want to find:
So:
Distribute:
Combine like terms:
Rewrite:
Factor out:
So, our answer is C.
Answer:
Arc BC is 64°
Step-by-step explanation:
The parameters given are;
∠CAB = 32°
We note that the measure of arc BC = ∠CDB
∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)
∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)
∠ACB = ∠DCB + ∠DCA
∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°
∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)
∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)
∠CDB = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°
∠CDB = Arc BC = 64°
Answer:
(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)
Step-by-step explanation:
<--- A is correct
< --- B is NOT correct
by associative and commutative properties
so C is correct
A and C are both correct.
2 (x - 4) = -2x + 3 + 4x
2x - 8 + 2x + 3
-8 = 3 so the statment is false for any value of x