Answer: k = {8, -8}
<u>Step-by-step explanation:</u>
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
Answer:
a. 100.48
b. 1,004.8
c. 1,105.28
Step-by-step explanation:
a. a cone with volume = ⅓×3.14×4²×6=
100.48
b. a cylinder with volume = 3.14×4²×20=
1,004.8
c. total volume = 100.48+1,004.8
= 1,105.28
Answer:
3^(-2y + 6) = (-2x+1)
Step-by-step explanation:
We have;
log_3_(-2x+1) = -2y + 6
What this means in exponential form is that;
3^(-2y + 6) = (-2x+1)
Answer:
50
Step-by-step explanation:
Use pythagoreom theorem to determine the length of the hypotenuse:
a² + b² = c²
- assign side a to 30 and side b to 40
30² + 40² = c²
90 + 160 = c²
250 = c²
Now square root both sides to isolate side c:
√250 = √c²
50 = c
side c = 50
Answer:
A?
Step-by-step explanation:
