Answer:
x = -6
Step-by-step explanation:
-2 = 12/x
-2x = 12
x = 12/-2
x = -6
Answer:
5x +y = 34
Step-by-step explanation:
Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.
For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...
y -k = m(x -h)
For m=-5 and (h, k) = (6, 4), the equation is ...
y -4 = -5(x -6)
y -4 = -5x +30 . . . . . eliminate parentheses
__
Standard form looks like ...
ax + by = c
where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.
5x +y -4 = 30 . . . . . . add 5x
5x +y = 34 . . . . . . . . . add 4 to get standard form.
Answer:
A
Step-by-step explanation:
The first equation is

The second equation is

If you sum the two equations you'll cancel y:

And since the sum must be 11, we have y=9.
Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = 
Cancel the common factor - 3 :
V = 
Multiply 8 and 3π :
V = 
Solve the exponent :
V = 
Multiply :
V = 
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³