We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.

Similalrly,

Answer: (-6, 8) or x = -6, y = 8
Answer:
309.6 inches³
Step-by-step explanation:
To calculate the volume of the cylinder, we use the formula V = π^rh (where π = 3.14, r (which is an exponent) is the radius of the circle face of the cylinder, and h is the height of the cylinder). In this case, the radius is 3 inches, and the height is 10 inches. Therefore the equation is 3.14^3 = 30.96 * 10 = 309.6.
Therefore the can's volume is approximately 309.6 inches³.
Answer:
6 is in the hundredths place
Here is an image of all of the number places:
The answer is B x = -4. x= 3
You must factor the equation by find what 2 numbers can multiply to equal -12 and add to equal 1.
-3 and 4 are the two numbers. Now to put it in factor form would be:
(x - 3)(x + 4) = 0
They y also must equal zero.
Since its equals to 0, we must solve for x for the binomial.
x - 3 = 0 ; x = 3
x + 4 = 0 ; x = -4
The answer you get from solving x, is that answer
Answer:
-1/6
Step-by-step explanation:
To find the slope we use
m = (y2-y1)/(x2-x1)
= (-4-8)/( 1-3)
= -12/-2
=6
We want a line perpendicular, so we need the negative reciprocal
- (1/6)
-1/6