A) (x, y) → (3x, 3y)
<h2>
Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
#LearnWithBrainly
Answer:
C
Step-by-step explanation:
I think you have to call a = 14/32 and b = 7/4
3a = 3 * 14/32 = 42/32
b = 1 3/4 = (4 + 3)/4 = 7/4
42/32 // 7/4 Invert and multiply
42/32 * 4/7 Cancel 4 into 32 and 7 into 42
6/8 = 3/4
I make the answer C
Answer:
The test is not significant at 5% level of significance, hence we conclude that there's no variation among the discussion sections.
Step-by-step explanation:
Assumptions:
1. The sampling from the different discussion sections was independent and random.
2. The populations are normal with means and constant variance
There's no variation among the discussion sections
There's variation among the discussion sections
Df Sum Sq Mean sq F value Pr(>F)
Section 7 525.01 75 1.87 0.99986
Residuals 189 7584.11 40.13
Test Statistic = 
Since our p-value is greater than our level of significance (0.05), we do not reject the null hypothesis and conclude that there's no significant variation among the eight discussion sections.
Answer:
x > -1
Step-by-step explanation:
* Remember that,
if you have a negative sign (-) infront of the x you have to change the direction of the inequality sign.
Hope this helps you .
Let me know if you have any other questions :-)
Answer:
Area = 16π
Step-by-step explanation:
Area of a circle = πr^2
= 64π
= sqrt64
r = 8 because 8 × 8 is 64
Radius = 8
Now, use the circumference equation:
= 2πr
= 2π(8)
= 16π
