Answer:
bottom right, x = 90
bottom left, x = 40
top left, x = 28
Step-by-step explanation:
This problem uses the variable x to mean three different numbers.
This is an incorrect use of a variable.
On the bottom right, x is a right angle, so x = 90.
On the bottom left, x + 5 = 45, so x = 40.
On the top left, 3x + 6 = 90, so x = 28.
Answer:
Option C is correct.
Step-by-step explanation:
Points given are
(1,2) and (3,8)
The formula used for slope is:
x₁ = 1, x₂=3, y₁=2 and y₂=8
So, slope =3
Option C is correct.
Yes, 5:4 is the simplified form of 25:16. 25 divided by 5 is 5 (the lowest possible number it can be made into). 16 divided by 4 is 4 (also the lowest possible number it can be made into).
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
Answer:
x = 15
arc PQ = 110°
ΔPQR is an acute triangle
Step-by-step explanation:
(6x) + (8x-10) + (10x+10) = 360°
combine like terms:
24x = 360°
x = 15
arc PQ = 8(15) - 10° = 110°
