Answer:
three quarters of a pound and thee quarters of a brick?
Step-by-step explanation:
You didn't state any answer choices
1 is C since the points are not equidistant from the edges of the angle
2: is A and E
Answer:
y = 5x
Step-by-step explanation:
The equation for direct variation is y = kx, where k is the factor of variation. So we know that y and x must fit into this formula.
They've given us a y and x value to solve for k.
y = kx
15 = 3k
15/3 = k
<u>k = 5</u>
Plug k back into our equation.
y = 5x
Find the intercepts for both planes.
Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:



Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:



Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.
Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.
So the volume of the region is



An easy way to think of this when you solve this, is to remember that all the angles in a triangle add up to 180 degrees. Therefore, the equation would be
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23