If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
B. 102.57 cu. cm is the answer
Solution:
V=πr^2h
The diameter is 14. To find the radius you divide the radius by 2 which is equal to 7. [Radius is 2 times diameter]
V= 3.14×7×7×2
V= 102.57
Answer:
When k(x) is 2x² - 5x + 3, k(-3) = 36.
Step-by-step explanation:
k(x) = 2x² - 5x + 3
Substitute the input of x.
k(-3) = 2(-3)² - 5(-3) + 3
Square -3.
k(-3) = 2(9) - 5(-3) + 3
Multiply 2 and 9.
k(-3) = 18 - 5(-3) + 3
Multiply -5 and -3.
k(-3) = 18 + 15 + 3
Add 18 and 15.
k(-3) = 33 + 3
Add 33 and 3.
k(-3) = 36.
Answer:
The answer is
t = 41/4
Alternate form: t = 10 1/4
Decimal form: t = 10.25