Answer:
8/17
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the ratio.
<u>Step 2: Identify</u>
<em>POV from angle S</em>
Adjacent = 8
Hypotenuse = 17
<u>Step 3: Write</u>
- Substitute [cosine]: cos(s) = 8/17
Fist convert the equation to vertex form
y = 2(x^2 + 14x) - 8
y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106
So the vertex is at (-7,-106)
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!
There’s an app called Photomath download its free it’s simple it gives u the answer and shows how to work it out
Please attach a photo so I may help you.