Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem

⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
Answer:

Or if you want with the value of h too.

Step-by-step explanation:

Find the value of h and k by using the formula.

From y = x²-2

Substitute these values in the formula.

Therefore, h = 0.

Therefore, k = - 2.
From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.

These type of equation where b = 0 can also be both standard and vertex form.
Step-by-step explanation:
1. Ok so first we need to figure out how many boxes of shirts he bought. In each box there are 20 shirts and he sold 93. So if we round it, he bought about 100 T-shirts. 100 ÷ 20 = 5. So he bought 5 boxes of shirts.
2. Next we need to figure out how much he spent on the shirts. 5*80=400. So he spent $400 dollars on the shirts.
3. We need to find out the amount of money he made from selling the shirts. 6*93=558
4. We need to find the profit so you subtract the total expenses from the total revenue. 558-400= 158. So the profit is $158
Answer: Mr. Youngbear made 158 dollars worth of profit after selling 93 T-shirts.
(I dont know if this is correct, but I hope I was able to help!)
Answer:
Step-by-step explanation:
We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.
<u>The difference in x:</u>
<u>The difference in y:</u>
<u>Point K is at 3/7 distance from J, so it's coordinates will be:</u>
- -18 -(-21*3/7) = -18 + 9 = -9
- 17 - (28*3/7) = 12- 7 = 5
So K = ( -9, 5)
To convert an improper fraction into a mixed number, you must find how many times the denominator fits into the numerator cleanly.
58/7
=8.385
It fits in 8 times.
8*7=56
58-56=2
There is a remainder of 2.
The Mixed number would be 8 2/7.
Hope this helps!
-Benjamin