Find g(x) for each x value in the table
1 answer:
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Answer:
12
Step-by-step explanation:
This is a joint variation problem:
z varies directly as x and y
Interpreting this;
z ∝ xy
Therefore;
z = kxy
z = 6, x = 2, y = 6
Now find k,
6 = 2 x 6 x k
6 = 12k
k =
To find the value of z;
x = 3, y = 8
z = x 3 x 8 = 12
Answer:
x = 14
Step-by-step explanation:
Assume your diagram is like the one below.
The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."
For your diagram, that means
Check:
It checks.
Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For ,
For ,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .