Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
Answer:
vertical asymptote at x=2
Step-by-step explanation:
f(x) = 1/4 ln(x-2) +3
We know that ln(x) has an asymptote at x=0
This function is shifted to the right 2 and up 3,
The x asymptote will be shifted to the right 2
x=0 +2
x=2
The camera costs $490, and he already has $175. You will first need to subtract 175 from 490 which is 315. Since you are trying to figure how much each week with 3 weeks, you need to divide 315 by 3. 315 divided by 3 is 105. So, he will need $105 per week.
Hope this helps!
I am considering the point you have given is point on a circumference of a circle and center of circle is (0,0) and we have to calculate radius
so radius = root((x-h)^2 + (y-k)^2)
where (h,k) is center of circle
so r = root((5-0)^2+(10-0)^2)
= √(100+25) = √125 = 5√5
so answer is option c