Answer:
The correct answer is D. The points are rotated 180 degrees and scaled by a factor of 0.5. I assume that the 0.5 is the expected value in the text box labelled "D" (for dilation perhaps?)
Answer:
- A. the distance between points W and X
Step-by-step explanation:
<u><em>Looking for the distance of 5 units</em></u>
A. the distance between points W and X
- -3 - (-8) = -3 + 8 = 5
- Correct
B. the distance between points X and Y
- 1 - (-3) = 1 + 3 = 4 < 5
- Incorrect
C. the distance between points X and Z
- 5 - (-3) = 5 + 3 = 8 > 5
- Incorrect
D. the distance between points Y and Z
Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
(2x+3y)+(7x-3y)
First, group like terms together, so (2x+7x) + (3y-3y). Then simplify within the parentheses. 2x+7x = 9x and 3y-3y = 0, so you have 9x, which cannot be simplified any further. The answer is 9x.
Answer:
2 x 2 x 7, or 2^2 x 7
Step-by-step explanation:
Let us use prime factorization to find the prime numbers that make up 28:
28 = 2 x 14
2 is a prime number, 14 is not, so we have our first prime, 2.
14 = 2 x 7
We then further break the number down into two prime numbers, 2 and 7. Since 2 and 7 are prime and we can't break them down any further our answer is 2 x 2 x 7, or 2^2 x 7.
