Answer:
The product is 3/8
Step-by-step explanation:
When you multiply two fractions, first multiply the numbers on the top (numerators).
1 * 3 = 3
Then multiply the bottom numbers (denominators).
2 * 4 = 8
Now stick the first over the second.
3/8
Answer:
8.
Step-by-step explanation:
13).
This is an equilateral triangle.
We see that all 3 angles are equal, so all sides are equal also.
So 2x - 6 = 10
2x = 16
x = 8.
The tangent to 
at the point (0, 5) has a slope equal to the derivative evaluated at 
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
Answer:
Dilation factor = 0.75.
Step-by-step explanation:
One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.
24k = 18.
k = 18/24 = 3/4 = 0.75.
Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.
So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!
