Answer:
(5a-3)(3b+7)
Step-by-step explanation:
Identify the factors of 15ab + 35a − 6b − 14
Given Data
15ab + 35a − 6b − 14
We have expression
15ab + 35a − 6b − 14------------
5a(3b-7)-3(2b+7)
Hence the factors are
(5a-3)(3b+7)
Answer: The answer is 
Step-by-step explanation: Given that WXZY is a quadrilateral with W located at (-5, 2) and X is located at (3, 0). We need to find the slope of ZY for which the quadrilateral WXZY is a parallelogram.
We know that the opposite sides of a parallelogram are parallel to each other. So, in the attached figure, we must have WX parallel to ZY. And for that, slope of WX = slope of ZY.
Slope of WX is given by

Thus, the slope of ZY must be 
Answer:
$13,695.98
Step-by-step explanation:
Continuously compounded interest formula:

where
A = future value
P = principal (present value of amount invested)
e = mathematical constant, the base of natural logarithms
r = interest rate
t = time in years
We have: P = 6154; r = 8% = 0.08; t = 10




Answer: $13,695.98
Four times a number plus twenty one
<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
Learn more about<u> </u> length of an arc
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