Answer: V= Area of the base x the height
Step-by-step explanation:
Assuming the measurements of the sides are already in inches, say the area of the base ends up being 14in and the height of the prism is 5in, multiply those numbers and your answer would be 70 inches cubed.
Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
Answer:
None
Step-by-step explanation:
There are actually 2 answers, 3 and -3. Although if you put it in a calculator, it would show "math error" or undefined. That's because the index is even (4) and the radicand is negative (-81)
Answer:
Step-by-step explanation:
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=
.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
Substitute m=
into y=mx+c:
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
Thus, the equation of the line is .
