Complementary angles sum upto 90°
so the complement of 9° = 81°
The answer would be 10. Explanation: So basically you add the two complementary angles and set it equal to the whole thing. So it would look like 4x+46=7x+16. Then, you have to solve for x. To do that, subtract the 4x from both sides and the 16 from both sides. That will leave you with 3x=30. Then, divide by 3, and you get an answer of 10. Hope that helped :)
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
90 meters
Step-by-step explanation:
From the question we are to calculate the distance that the slug can move in 60 minutes.
From the question, we know that:
20 minutes = 30 meters
60 minutes = x meters
Cross Multiply
20 minutes × x meters = 30 meters × 60 minutes
x meters = 30 meters × 60 minutes/20 minutes
x meters = 90 meters
