Answer:
The coordinates of the image are
W'(2,-4)
X'(3,-6)
Y'(6,0)
Z'(5,-2)
Step-by-step explanation:
we know that
The translation is 8 units right and 3 units down
so
The rule of the translation is
(x,y) ----> (x+8,y-3)
Apply the rule of the translation to the coordinates of the pre-image WXYZ to obtain the coordinates of the image W'X'Y'Z'
coordinate W'
W(-6, -1) ----> W'(-6+8,-1-3)
W(-6, -1) ----> W'(2,-4)
coordinate X'
X(-5, -3) ----> X'(-5+8,-3-3)
X(-5, -3) ----> X'(3,-6)
coordinate Y'
Y(-2, 3) ----> Y'(-2+8,3-3)
Y(-2, 3) ----> Y'(6,0)
coordinate Z'
Z(-3, 1) ----> Z'(-3+8,1-3)
Z(-3, 1) ----> Z'(5,-2)
therefore
The coordinates of the image are
W'(2,-4)
X'(3,-6)
Y'(6,0)
Z'(5,-2)
Answer:
Step-by-step explanation:
Lines MR and PQ are parallel. Continue the line MR up to the intersection with the line NQ. Denote the point of their intersection as A.
Consider triangle AMN. In this triangle,
- given;
- angles RMN and NMA are supplementary angles;
So, (as the sum of all interior angles add up to 180°)
Angles NAM and MAQ are supplementary angles, then
Angles MAQ and AQP are alternate interior angles, so they are congruant and
Answer:
C with 3000 successes of 5000 cases
Step-by-step explanation:
In test statistics the number of samples goes a long way in determining the result of a test.
Using the z score formula
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Therefore the z score is directly proportional to the square root of the sample size.
z ∝ √n
The higher the sample size, the higher the z score, the higher the evidence of confirming the alternative hypothesis.
Since the all have the same proportion (0.6), and options c has the highest sample size (5000 cases), it will give the strongest evidence for the alternative hypothesis
Answer:
2
Step-by-step explanation:
1.95 rounds up to 2 because the 5 rounds 9 up to 10, which is equivalent to 1.0 in this case, and that makes the answer 2.
<span>y=x(x+5)(x-8)
The zeros of </span><span>y=x(x+5)(x-8), means to solve the value of x, when y =0
</span><span>y=x(x+5)(x-8) = 0
</span><span>
x(x+5)(x-8) = 0
x = 0 or (x+5) = 0 or (x - 8) = 0
x = 0 x + 5 = 0 x - 8 = 0
x = 0 -5 x = 0 + 8
x = -5 x = 8
Hence the zeros are x = 0, x = -5, x = 8</span>
