Answer:
Option B. is the answer.
Step-by-step explanation:
The given question is incomplete without the attachment; here is the attachment enclosed with the answer.
Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.
We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is
P(x, y) = ![[\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28mc%2Bna%29%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7B%28md%2Bnb%29%7D%7Bm%2Bn%7D%5D)
From the given formula,
Coordinates of treasure P = ![[\frac{((5\times 16)+(9\times 3)}{(5+9)}, \frac{(5\times 21)+(9\times 2)}{(5+9)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28%285%5Ctimes%2016%29%2B%289%5Ctimes%203%29%7D%7B%285%2B9%29%7D%2C%20%5Cfrac%7B%285%5Ctimes%2021%29%2B%289%5Ctimes%202%29%7D%7B%285%2B9%29%7D%5D)
= ![[\frac{(80)+(27)}{(14)}, \frac{(105)+(18)}{(14)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%2880%29%2B%2827%29%7D%7B%2814%29%7D%2C%20%5Cfrac%7B%28105%29%2B%2818%29%7D%7B%2814%29%7D%5D)
= ![[7.64, 8.78]](https://tex.z-dn.net/?f=%5B7.64%2C%208.78%5D)
≈ (7.6, 8.8)
Therefore, Option B will be the answer.
Answer:
Option C is correct.
The equation of line graphed is, 
Step-by-step explanation:
Point slope form: The straight of line in the form of :
......[1] where m is the slope.
Consider two points from the given graph:
(0, 0) and (2, 1)
First calculate slope:
Slope(m) = 
Substitute the given values we have;

Substitute the given values m and (0,0) in [1] we have;

Simplify:

therefore, the equation of line graphed is, 
Answer:
Step-by-step explanation:
f(x) = -8x + 20
f(-1) = -8* -1 + 20 = 8+20 =28
5 - 2[f(-1)] = 5 - 2*28 = 5 - 56 = -51
Answer:
C
90
Step-by-step explanation:
B is likely the center, I think. You can't do it otherwise.
The tangent and a radius of a circle meet at 90o
therefore the answer is 90.
All of this could be confirmed with a diagram.
Octagon, stop sign.
Eight isoscles triangles. It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.
So each isosceles triangle has area (1/2)(9.9)(12) and we have eight of them,
area = 8(1/2)(9.9)(12) = 475.2
Answer: 475.2
Usually we wouldn't be told 9.9 -- this is the baby version. We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.
The area of the right triangle with long leg 12, short leg x,
tan 22.5 = x/12 or
x = 12 tan 22.5
Twice that is what we're told is 9.9; let's check:
2x = 24 tan 22.5 = 9.941125496954282
The area of the little right triangle is
(1/2) 12 × 12 tan 22.5
and there are 16 of these
16 (1/2) 12 × 12 tan 22.5 ≈ 477.174