Answer:
Step-by-step explanation:
x²-8x-20
=x²-10x+2x-20
=x(x-10)+2(x-10)
=(x-10)(x+2)
second factor is x+2
Answer:
in between the ones and the tenths place
Step-by-step explanation:
so it would be in the ones place
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (8, - 3) and (x₂, y₂ ) = (2, 6)
m = 
= 
= - 
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The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y = 5 - 2x , that is
y = - 2x + 5 ← in slope- intercept form
with slope m = - 2
Answer:
x= (1,8)
Step-by-step explanation:
Answer:
Part A
71°
Part B
The ladder is been used safely
Step-by-step explanation:
Part A
We solve the above question using Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = The distance between the house and the bottom of the ladder = 4 feet
Hypotenuse = Length of the ladder = 12 feet
x = Angle
Hence:
cos x = 4/12
cos x = 1/3
x = arc cos (1/3)
x = 70.528779366°
Approximately to the nearest degree
= 71°
Part B
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?
Angle x = 71°
Therefore, the ladder is been used safely
