No, 10”3 is equal too 1000. 10”2 is equal too 100
Answer:
y=1/2x-3
Step-by-step explanation:
Answer:
The line that meets these conditions is y = 1.5x - 2.5
If you want to use fractions, it would be y = 3x/2 - 5/2
Step-by-step explanation:
To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope. That's easy enough as a perpendicular slope is the negative reciprocal of the given one. As this has a slope of -2/3, our new slope has to be 3/2, or 1.5
All we need to do then is express that rate of change relative to the given point (-1, -4). We can do this by expanding the classic equation:
Δy = sΔx
We can write that as such:
y - (-4) = 1.5(x - (-1))
y + 4 = 1.5(x + 1)
y + 4 = 1.5x + 1.5
y = 1.5x + 1.5 - 4
y = 1.5x - 2.5
Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.
To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:
y = 3(-1) / 2 - 5/2
y = -3 / 2 - 5 / 2
y = -8 / 2
y = -4
So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).
For this case, what we must do is find the surface area of the cube.
By definition, the surface area of a cube is given by:
Where,
L: length of the sides of the cube.
Substituting values we have:
Answer:
The total surface area that will be painted is:
24 cm²
Answer:
Step-by-step explanation:
We have the sides for both the rectangle and the square. The problem says that the area of the rectangle is 16 more than the area of the square. The area of the rectangle is
(x + 16)(x)
The area of the square is
(3x - 2)(3x - 2)
"The area of the rectangle" "is" "16 more than the area of the square"
x(x + 16) = (3x - 2)(3x - 2) + 16
FOILing the left side and then setting it equal to the FOILing of the right side:
and
Now we will get everything on the same side of the equals sign, set the polynomial equal to 0, and factor to solve for x:
Factor that however you learned best to factor quadratics (the quadratic formula works for a second degree polynomial every time!) to get that
x = 1 or x = 2.5