Answer:
y = 1/5 x + 12/5
Step-by-step explanation:
We are looking for the equation of a line.
We satart with the slope-intercept form of the equation of a line.
y = mx + b
We need to find m, the slope, and b, the y-intercept.
The given line is y = 1/5 x - 3.
Its slope is 1/5.
Parallel lines have equal slopes, so the slope we need is also 1/5.
Now we have for our line
y = 1/5 x + b
Now we find b.
We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.
2 = 1/5 * (-2) + b
10 = -2 + 5b
12 = 5b
b = 12/5
Now that we know the y-intercept, we can write the equation of the line.
y = 1/5 x + 12/5
The problem ask to find the are of the shaded region of the circle which has a radius of 12cm. The are of the circle is computed as the formula of pie times the square of the radius so the are of the circle would be 452.389 cm2 and the area of the shaded region would be 150.796 cm2^2. I hope you are satisfied with my answer and feel free to ask for more
Arithmetic Sequence
The value of the 93th term of this arithmetic series is -925
Step-by-step explanation:
The first term of the arithmetic term is a = -5
And the common difference is d = a2-a1 = -15 - ( - 5) = -10
So the 93th term if this arithmetic progression is given by
an = a + (n-1) × d
where an is the nth term of the arithmetic progression
so in order to calculate the 93rd term (a93), the value of n = 93
so a93 = -5 + (93-1) × (-10)
a93 = -5 + (-920
)
a93 = -925
Hence the value of the 93th term of this arithmetic series is -925
Answer: 2/3 multiply that by 15 and you get 30/3 witch simplified is 10
Step-by-step explanation:
Answer:
C. 75 restaurant customers
Step-by-step explanation:
With the way the graph is laid out 75 restaurant customers seems to be the most logical answer.
