Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
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2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
Answer:
1. a) Square
2. c) Rectangle
Step-by-step explanation:
1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line. The cross-section obtained will be just like an end of the prism, which in this case is a square. Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form. Technically, the answer could also be a rectangle, since a square is a rectangle.
2. you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle. Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.
Answer:
See explanation
Step-by-step explanation:
First plot points A, B, C and D on the coordinate plane and connect them to get quadrilateral ABCD. Then plot the vertices E, F, G, H of the quadrilateral EFGH in each case.
For each of these cases there are attached diagrams
1 case - reflection acraoss the x-axis
2 case - translation 5 units down
3 case - reflection across the y-axis
4 case - translation 7 units right
(x + 2)(x - 4)
= x^2 + 2x - 4x - 8
= x^2 - 2x - 8
You have 11 items and you need to choose 5 of the 11.
There are 462 ways to choose them.
The formula is :
11! / (5!6!)
n!/(r!(n-r)!)
