If the outer was the out of the data set it would make it “decrease”
Answer:
C
Step-by-step explanation:
Given the 2 equations
6x + 2y = 8 → (1)
12x + y = 22 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 24x - 2y = - 44 → (3)
Add (1) and (3) term by term, thus eliminating y
- 18x = - 36 ( divide both sides by - 18 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 2y = 8
12 + 2y = 8 ( subtract 12 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
Solution is (2, - 2 ) → C
Answer:
B. A dilation with a scale factor of 0.5
Step-by-step explanation:
A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.
B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent
C. is wrong because translations keep the angles and side lengths of the figure the same.
D. is wrong because a scale factor of 1 changes nothing about the figure.
Step-by-step explanation:
Co-prime numbers are numbers that only have 1 as a common factor.
For example, 35 = 1×5×7, and 39 = 1×3×13. So 35 and 39 are co-prime.
Write the prime factorization of each number:
17 = 1×17
25 = 1×5²
35 = 1×5×7
43 = 1×43
55 = 1×5×11
119 = 1×7×17
187 = 1×11×17
43 is co-prime with all of these, so we will not use it.
If we start with 35 in the upper left, and 187 in the lower right, then we can also rule out 17 and 25, since these are co-prime with either 35 or 187.
So that leaves 55 and 119 as the other two numbers. They can go in any order, as long as they are diagonal from each other.