Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
The correct question is
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?
we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r
the lenght of the arc=(2π/3)*3=2π ft
the answer is 2π ft
Answer:
130 degrees
Step-by-step explanation:
arc CA is 50 since the angle is 50 and then you would subtract from 180 since it is half the circle which leaves you with C, or 130 degrees.
First, find out how much each man works. If eight men take 10 days to build 150 m of wall, then that means that it takes 80 man days to build 150 m. One Man day is then 150÷80, in other words 1.875. If eight men have already been working for six days, then they have spent 8×6 man days, 48. 48 men days times 1.875 m of wall per man day equals 90 m of wall have been built. So, you have four days left to build the remaining 60 m of wall as well as 45 extra meters, in other words, 105 m total. 105 m divided by four days equals 26.25 m need to be built every day. Since one man builds 1.875 m of wall every day, to find the number of men total you need for the last four days, take 26.25÷1.875, Which equals 14 exactly. 14 is not the answer however, because it’s asking how many more men you need. Since you already have eight, you need six more to make 14
The answer is six more men
Answer:
y = -6x - 7
Step-by-step explanation:
y = mx + b
5 = -6(-2) + b
5 = 12 + b
b = -7
y = -6x - 7
