Answer:
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
Answer: p = 8
Step-by-step explanation:
6(4-2p)+9p
24 - 12p + 9p
24 - 3p
-3p = -24
3p = 24
p = 8
Answer: -4, -3, -2
Step-by-step explanation:
By inspection, we know 
is a root.
We can thus rewrite the equation as
Answer:
C. II, III, and IV only
Step-by-step explanation:
Lol I haven't done one of these in a while, so thanks for the practice!
It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.
Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
