Answer:
Step-by-step explanation:
Ⅰ. x+y-z = -3
Ⅱ. 4x-y+z = 8
Ⅲ. -x+5y-4z = 1
Use equation Ⅰ to eliminate the x terms from equations Ⅱ and Ⅲ.
Ⅰ. x+y-z = -3
Ⅱ. -5y+5z = 20
Ⅲ. 6y-5z = -2
Divide equation Ⅱ by the coefficient of its y term:
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. 6y-5z = -2
Use equation Ⅱ to eliminate the y terms from equation Ⅲ.
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. z = 22
Divide equation Ⅲ by the coefficient of its z term:
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. z = 22
Back-substitution
y = -4 - (-1)z = 18
x = -3 - (1)y - (-1)z = 1
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
Answer:
-2/3 is greater than -0.8
Step-by-step explanation:
-2/3 when made into a decimal is about -0.67
This is greater than -0.8 because -0.67 covers less area when put into a visual.
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Option B: 1.6 s.
Although the equation is not included, you can obtain it by physical considerations
H(t) = -16.t^2 + 52t + 16
The maximum point is at the vertex and the vertex is in the middle of the roots.
The roots are when H(t) = 0,
So you have to solve 0 =-16t^2 + 52t + 16
Use the quadratic formula and you will find t = 3.53 and t =-0.28
Then the vertex is at the middle point = (3.53 -.028)/2 =1.63 s and the answer is option B: 1.6 s.