Answer:
f(-5) = 0
Step-by-step explanation:
Step 1: Define
f(x) = -2x² - 10x
f(-5) is x = -5
Step 2: Substitute and Evaluate
f(-5) = -2(-5)² - 10(-5)
f(-5) = -2(25) + 50
f(-5) = -50 + 50
f(-5) = 0
Answer:
The equation of the line in point-slope form is 
.
Step-by-step explanation:
According to the statement, let 
and 
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
, 
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that 
and 
, then the equation of the line in point-slope form is:
From (2):
By (1):
The equation of the line in point-slope form is .
Answer:
B
Hope this helps!
explanation:
we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.
The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm
The height of the prism is 9 cm.
