Answer: 14
<u>Step-by-step explanation:</u>
Step 1: Graph both equations to find the vertices (see attached):
- The graph shows vertices at: (0, 0), (3, 0), (0, 5) and (2, 3)
Step 2: Input the coordinates of the vertices into the given function (c = 4x + 2y):
- (0, 0): 4(0) + 2(0) = 0
- (3, 0): 4(3) + 2(0) = 12
- (0, 5): 4(0) + 2(5) = 10
- (2, 3): 4(2) + 2(3) = 14
Step 3: Evaluate the value from Step 2 to find the maximum (largest).
- the largest value between {0, 12, 10, 14} is 14
Answer:
Step-by-step explanation:
Move 0.90x to left hand side and change it's sign
⇒
Move 110 to right hand side and change it's sign
⇒
Collect like terms
⇒
Calculate
⇒
Divide both sides of the equation by -0.2
⇒
Calculate
⇒
Hope I helped!
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Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Answer:
d = 167.7 m
Step-by-step explanation:
We have,
Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She drove about another 75 km north to Dallas.
It is required to find the approximate air distance from Pearland to Dallas, Texas.
The resultant vector will give the approximate air distance. So,
So, the approximate air distance from Pearland to Dallas, Texas is 167.7 m.
Here's a table of the function y=-2x-3
