9514 1404 393
Answer:
F
Step-by-step explanation:
If the circle is tangent to the x-axis at 4, the center lies on the line x=4.
If the circle is tangent to the y-axis at 4, the center lies on the line y=4.
If the center of the circle is (x, y) = (4, 4) and it is tangent to the axes, then the radius is 4.
The standard-form equation of the circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
For the values (h, k) = (4, 4) and r = 4, the equation is ...
(x -4)² +(y -4)² = 16 . . . . . . matches choice F
Answer:
B.25
Explanation:
The figures are similar. This means that corresponding sides have the same ratio.
This helps us set up a proportion.
We know that ML corresponds with DC, which gives us the ratio
8/40
EF will correspond with NH; this gives us the ratio
5/x
The proportion is then
8/40 = 5/x
Cross multiplying, we have
8(x) = 40(5)
8x = 200
Divide both sides by 8:
8x/8 = 200/8
x = 25
We are looking for the approximate solution of
, that is, we are looking for the solution of the equation f(x)=g(x).
The solution of this equation are represented by the intersecting points (x, y) of the graphs of these functions, because the intersecting points (x, y) are such that
y=f(x), but also y=g(x).
From the graph, we can see that there are two solutions, one is at approximately x=2, and the other is approximately -1.4.
Answer: -1.4, 2.
Well, X= 180 - 2w
and angle made by raidus to tangent is 90' , so angle w = 106-90 = 16
and X= 180- 32 = 148
w= 16 , x= 148
hope it helped
