Answer:
x + 3
Step-by-step explanation:
It cuts the y axis at 3 and continues to rise by one
Therefore ax + b gives us 1x + 3 = x + 3
(x – h)² + (y – k)²<span> = r</span>²
Fill in the numbers
(x – 7)²<span> + (y +3)</span>²<span> = 49</span>
Answer: Question #1 The height of the tree is about 18 feet.
To solve this problem, you have to write a proportion using the similar triangles that are drawn. The height of the tree matches the height of the person and the shadows match.
Therefore, we can write and solve the following equation:
x/15 = 5.5/4.5
82.5 = 4.5x
x = 18.33
Answer:
The given description is equivalent to the algebraic expression,
Step-by-step explanation:
The given description is ,
'The square of the ratio of 11 and k'
which is equivalent to the algebraic expression,
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.