-4(x-8) + 3(2x+5)
-4x+32 + 6x+15
2x+47
2(10)+47
20+47
67
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m =
=
= 
the line crosses the y-axis at (0, 1) ⇒ c = 1
y =
x + 1 ← equation in slope- intercept form
Answer:
y=x^2 - 8x +8:
(1.8,0) and (6.8)
y=-x^2-4x+7:
(-5.3,0) and (1.3,0)
Step-by-step explanation:
If you go to desmos graphing calculator online, you can type the equation in and click on the zeros.
I have attached the following graphs to show what I did to find them.
The slope is 3/2. The slope perpendicular to that would be -2/3
Answer:
The radius of the circle is 10.8 inches
Step-by-step explanation:
Given:
Length of the chord = 20 inches
Distance of the chord from the center of the circle = 4 inches
To find:
radius of the circle=?
Solution:
As shown in the figure below, the radius, r, is the hypotenuse of a right triangle. One leg of the triangle is 4 and the other is half o f20 , or 10. Using the Pythagorean theorem to calculate the length of R, as follows:




R= 10.77
R = 10.8 inches