Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
Answer:
(0,2) : Is not a solution to the system
(5,0) : is a solution to the system
(3,13) : is not a solution to the system
Step-by-step explanation:
Did it on Edgenuity, 2020. Hope this helps!
It is A= 149 because it adds to 180. 180-31=149
Answer:
Slope: -2
Y-Intercept: (0,1)
Step-by-step explanation:
The slope would be m. In this case our m is -2, so our slope is -2.
For the y-intercept, you just look at the constant. So our constant is 1, so the y-intercept is (0,1)
1. Use a straightedge to draw line m and label a point on the line as point F
2. Construct a line perpendicular to line m through point F. Label a point on this line as point G.
3. With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.
4. Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.
5. Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.
6. Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.
