The slope of line through given points is -12/29
Step-by-step explanation:
Given points are:
(-26, -37) and (32, -61)
Let
(x1,y1) =(-26, -37)
And
(x2,y2) = (32, -61)
Slope (steepness) of a line, denoted by m, is given by the formula
Putting the values
Hence,
The slope of line through given points is -12/29
Keywords: Slope, line segment
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Answer:
t = 3.1 seconds
Step-by-step explanation:
Set the equation h = -16t^2 + 40t + 30 equal to 0 (0 represents ground level).
Then h = -16t^2 + 40t + 30 = 0
Applying the quadratic formula with a = -16, b = 40 and c = 30,
-40 ± √( 1600 - 4[-16][30] )
t = -----------------------------------------
2(-16)
-40 ± √ 3520
t = -------------------------
-32
-40 - 59.33
Only the positive t value makes sense. It is t = ------------------
-32
t = 3.1 seconds
Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Answer: j+47=55
Subtract 47 from both sides.
j= 8
Step-by-step explanation:
