What is the distance between points A and B? A. 1/3B. 1/2C. 1 1/3D. 1 1/2
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
<u>Surface Areas </u>
Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.
Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is
The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus
The back left area is another rectangle of 4.5 mm by 9 mm
Finally, the back right area is a rectangle of 6 mm by 9 mm
Thus, the total surface area of the prism is
Answer:
Step-by-step explanation:
The given line is defined by: , where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: .
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:
we require then that when , the value of
.
Therefore:
Then our final answer is that the new line should have the form: