Answer:
Radius- 9cm
Diameter-18 cm
Step-by-step explanation:
The radius is ALWAYS half of the diameter.
Answer:
16 = 2x
Step-by-step explanation:
The pattern for a direct variation equation is y = kx
y is the "output" or result
k is the "constant" a number that doesn't change in the equation.
x is the "unknown" variable that makes the output of the equation true when found.
Here x=8
16 = 2(8)
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114
Scale factor is 4
20/5=4
5*4=20
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.
