Answer:
Step-by-step explanation:
y = kx
400 = kr . . . . . . (1)
also, r = 4k . . . .(2)
400 = k(4k) = 4k^2
k^2 = 400/4 = 100
k = sqrt(100) = 10
Answer:
D. (y-2) becomes (y-5) and -5 < -2
Step-by-step explanation:
When transforming functions, the following applies:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
In this situation, the circle is shifted up 3 units and the variable y which controls this is in the function. To move it up you will subtract 3 in the parenthesis for (y-2) so it becomes (y-5). This will move the vertex 3 units higher.
For question 1:
Part i)
2.6 x 2.6 = 6.76 cm squared
No unit conversions needed
Part ii)
1.2 dm = 1.2 / 1000000 = 0.0000012 cm
0.0000012 x 0.0000012 = 0.00000000000144 cm squared
Question 2:
16.5dm = 16.5/ 1000 = 0.0165 m
0.0165 x 0.0165 = 0.00027225 m squared
I hope this has helped
The change from 3/4 to 4/10 is found by obtaining and applying the LCD:
15/20 to 8/20 is a negative change, and the amount of the change was -7/20.
We compare this result to the original value, 15/20, to obtain the percentage change in the fraction:
-7/20
----------- = -7/15 = -0.467 => -46.7%
15/20
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