I will help you if you repost this and please try to not make this blurry because I cant read it
Answer:
x = 1.5
Step-by-step explanation:
To get the vertex of a quadratic equation you can use the formula
x = -b/2a
where f(x) = ax² + bx + c
So you would get -12/2(-4)
-12/-8
x = 1.5
Then substitue x in the equation to find y. I won't be doing that here
Finding Volume is dependent upon which object you are seeking.
Rectangle, Volume=length*width*height
Cube, Volume=S^3
Cylinder, Volume= \pi*r³*h
Sphere, Volume=4/3*\pi*r^3
Answer: See Explanation
Step-by-step explanation:
Your question isn't complete but let's reframe it as:
A yard has a perimeter of 168 feet. If four times the length of the yard equals seventeen times the width, what are its dimensions?
Therefore, 2L + 2W = 168 ....... i
4L = 17W ........ ii.
From equation ii,
L = 17W/4 ........ iii
We would then slot the value of L into equation i
2L + 2W = 168
2(17W/4) + 2W = 168
17W/2 + 2W = 168
17W + 4W = 336
21W = 336
W = 336/21
W = 16
Since L = 17W/4
L = (17 × 16)/4
L = 68
The dimensions are 16 feet and 68 feet
Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25