Answer:
y = -(1/6)x - 6
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
---------------------------
x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
-----------------------------
Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6
C=2πr
We have 3/4 of circumference
(3π/2)*2π=3/4.
and it is equal 5π/2.
(3/4)*C=(3/4)*2πr
5π/2 = 6πr/4
5/2=6r/4
r=(5/2)*(4/6)=(5*4)/(2*6)=5/3
r=5/3
Answer:
-2.90625
Step-by-step explanation:
Given the polynomial function
P(x) = x^5-x^4+x^3-3
If c = 1/2
At x = c
P(1/2) = (1/2)^5-(1/2)^4+(1/2)^3-3
P(1/2) = 1/32 - 1/16 + 1/8 - 3
P(1/2) = 1-2+4-96/32
P(1/2) = -93/32
P(1/2) = -2.90625
Hence P(c) is -2.90625
Answer:

Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:



Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
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Answer:
Jane is 12 and Harvey is 36
Step-by-step explanation: