In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:
y = 7/6x + b
Now, assuming that the new line passes through the point (1,1):
1 = 7/6*1 + b
b = -0.17
Replacing b:
y = 7/6x - 0.17
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
$4.35
Step-by-step explanation:
because 15% of 29 is 4.35
x*(1.035) + (4,200-x)*(1.045) = 4,374.00
1.035x + 4,389.00 -1.045x = 4,374.00
15.00 = .01x
x = 1,500 so x (1,500) invested at 3.5% and
(4,200 - 1,500) (or 2,700) invested at 4.5%
So,
187 divided by 7
187/7
Mixed: 26 5/7
Decimal: 26.714285 (there is a vinculum over the "714285")
