Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) = 
= 
= -2
<em>The slope would be -2.</em>
<em />
Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
<em>The slope is -2.</em>
Answer: 423.11 m^2
Step by step explanation:
Area of a circle formula pi*r^2
First solve the area of the big circle
3.14*21^2=1384.74 m^2
Now find the are of the smaller circle
r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2
Now we can minus the small area off the big area to get the shaded area.
1384.74-961.63=423.11 m^2
So the area of the shaded region is 423.11 m^2
Answer:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
Answer:
h(r) = 6(r+1)+10
Step-by-step explanation:
Just solve for q. Because that's the output. h(r) = q
Answer:
Step-by-step explanation:
(a) Rename h(x) as y
(b) Solve for x :
(d) Switch x and y
(e) Rename y as the inverse function
The graphs of inverse functions are reflections of each other across the line y = x.
In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.
