Answer:
f
(
10
x
−
6
)
=
1000
x^
3
−
1800
x
^2+
1170
x
−
306
Step-by-step explanation:
If you take , then by the chain rule
so the answer is A.
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7
Answer:
41.24 cm²
Step-by-step explanation:
Here is the complete question: A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region?
Given: measurement of rectangle is
Radius of circle is 4 cm.
We can find the area of shaded region by subtracting area of rectangle from area of circle.
First, lets find the area of rectangle
Formula; Area of rectangle=
Area of rectangle=
∴ Area of rectangle= 9 cm²
Now, finding the area of circle.
Formula: Area of circle= (∵ r is radius)
Area of circle=
∴ Area of circle= 50.24 cm²
Next solving to find area of shaded region.
Area of shared region=
Area of shaded region=
∴ Area of shaded region= 41.24 cm²
Answer:
8
Step-by-step explanation:
7x+y=0
x+6y=5
x-y+4=8