m = -0.25
First coordinate : (-4, 3)
Second coordinate : (0, 2)
x1 = -4
x2 = 0
y1 = 3
y2 = 2
To find a slope, we can use this formula :
So in conclusion, the slope of the line is -0.25
Answer:
Length of arc of a circle is given by:
.....[1]
where
L is the length of an arc
r is the radius of the circle.
As per the statement:
Diameter of the circle(D) = 6 inches.
we know that:
D =2r
6 = 2r
Divide both sides by 2 we get;
3 = r
or
r = 3 inches
We have to find the long arc arc subtended by an angle measuring 70°.
Substitute the value of r = 3 inches and in [1] we have;
Simplify:
L = 210 inches
Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.
|4r + 8| ≥ 32
|4r + 8| ≥ 32
4r + 8 ≥ 32 or 4r + 8 ≤ -32 inside of absolute value could be + or -
4r ≥ 24 or 4r ≤ -40 subtracted 8 from both sides
r ≥ 6 or r ≤ -10 divided both sides by 4
Graph: ←---------------- -10 6 ------------------→
Interval Notation: (-∞, -10] U [6, ∞)
Okay here are the steps to solving this inequality:
First- Break down the problem into these 2 equations
4r + 8 ≥ 32 → - (4r + 8) ≥ 32
Second- Solve the 1st equation: 4r + 8 ≥ 32
r ≥ 6
Third- Solve the 2nd equation: - (4r + 8) ≥ 32
r ≤ -10
Lastly- Collect all solutions
Okay here are the steps to solving this inequality:
First- Break down the problem into these 2 equations
4r + 8 ≥ 32 → - (4r + 8) ≥ 32
Second- Solve the 1st equation: 4r + 8 ≥ 32
r ≥ 6
Third- Solve the 2nd equation: - (4r + 8) ≥ 32
r ≤ -10
Lastly- Collect all solutions
4 consecutive odd integers whose sum is 232 are : 55, 57, 59, 61
Let the first integer be x and x is an odd number.
Let Four consecutive odd integers are;
x, x + 2, x + 4, x + 6
(x) + (x + 2) + (x + 4) + (x + 6) = 232
4x + 12 = 232
4x = 232 - 12
4x = 220
x = 220/4
x = 55
x + 2 = 55 + 2 = 57
x + 4 = 55 + 4 = 59
x + 6 = 55 + 6 = 61
The numbers are : 55, 57, 59, 61
Learn more about the concept here;
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72.81
72.9
70
72.8
Answer:
72.8
Step-by-step explanation:
The tenth is the immidiate number after the decimal point, so if you are rounding tho the nearest tenth, you have to remember that if you have any number from 5-9 you have to round up, and if you have any number from 1-4 you have to round down, in this case as you have a .807, it´s a ,07 you have to round down to 72.8
Answer:
answer 72.8
Step-by-step explanation: