The line has a slope of -6 and a y intercept of 7.
The linear equation is given by:
y = mx + b;
where m is the slope of the line, b is the y intercept, y, x are variables.
The equation of the line passing through the points (6.-29) and (-4,31) is:

Hence the line has a slope of -6 and a y intercept of 7.
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Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r
C = ((3.14 x 18) / 4) + 18
C = (56.52 / 4) + 18
C = 14.13 + 18
C = 32.13 miles
Hope this helps! :)
Answer:
$13,200
Step-by-step explanation:
You need to use the simple interest formula
I = P * r * t
I = Interest accrued
P = Principal amount invested
r = Interest rate you need to divide by 100 to get it in decimal form
t = time, in years if you are given a partial year, divide the months by 12
P = $12,000
r = 7.5% = .075
t = 1
But, because we want I to equal $990 then I is
I = $990
So we ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075 Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.
Answer:
40/3
Step-by-step explanation:
w = weight of soil needed
f = number of flower beds
a = constant value
w = a * f
<em>substitute</em>
10 = 6a
<em>simplify</em>
5/3 = a
w = (5/3)f
<em>plug in 8</em>
w = (5/3)(8)
<em>simplify</em>
w = 40/3
Your answer is A. -56
Hope this helps!