The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
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Average speed = (total distance covered) / (time to cover the whole distance)
Total distance = (516 + 368) = 884 yards
Total time = (6 + 4) = 10 minutes
Average speed = (884 yards) / (10 minutes)
Average speed = 88.4 yards/minute (C)
Other ways to write the same speed:
-- 4.42 feet/second
-- 265.2 feet/minute
-- 53.04 inches/second
-- 5,304 yards/hour
-- 3.014 mph (rounded)
-- 810.07 furlong/fortnight
Answer:
x=1 or x=−2
Step-by-step explanation:
16x2+10x−27=−6x+5
Step 1: Subtract -6x+5 from both sides.
16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)
16x2+16x−32=0
Step 2: Factor left side of equation.
16(x−1)(x+2)=0
Step 3: Set factors equal to 0.
x−1=0 or x+2=0
x=1 or x=−2
Answer:
Georgia ran 5000 meters
Step-by-step explanation:
1 kilometer = 1000 meter
The figure is not attached. So, I have attached it from the link- brainly.com/question/4198293
Answer:
Step-by-step explanation:
Label the triangle ABC as shown below.
Given:
AB = 8, BC = 15, AC = 17, m∠ABC = 90°, m∠ACB = 28°, m∠BAC = 62°
The tangent of a given angle is given as the ratio of the opposite side and the adjacent side. The opposite side is the side opposite to the angle. The adjacent side is the other leg of the right angled triangle.
Here, the opposite side to angle A is BC and adjacent side is AB.
Therefore, the tan ratio of angle A is given as:
Hence, tan 62 = 1.875.
