Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point
on this graph and solve for the constant of proportionality:
We easily solve that and get our answer of
. (B)
Answer:
168 ft
Step-by-step explanation:
1. Calculate the total length of the curtains
42 curtains × (48 in/1 curtain) = 2016 in
2. Convert to inches to feet
1 in = ¹/₁₂ ft
2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft
Ariceli will need 168 ft of fabric.
Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
First lets distribute the 5x
5x^2 + 30x = -50
Lets divide every term by 5
x^2 + 6x = -10
To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9
Add that to both sides of the equation
x^2 + 6x + 9 = -1
Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)
(x+3)^2 = -1
Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i
