Answer:
(8/9)x +y = (2/3)
Step-by-step explanation:
General standard form of an equation of a line is y = mx+b, where m is the slope of the line and b is the y-intercept ( where the line intersects the y-axis.)
For points (-6, 6) and (3, -2)
m= (y2-y1)/(x2-x1) = (-2-6) / (3-(-6)) = -8 / 9
y = (-8/9)x +b
Substitute any of the 2 points to find b. If we choose (x=3, y= -2) then
-2 = (-8/9)*3 +b, simplify (-8*3)/9
-2 = (-8/3)+b, add (8/3) to both sides
-2+(8/3) = b, find the common denominator and add the fractions
(-6+8)/3 =b
2/3 =b
The standard form of the equation of the line that passes through (-6,6) and (3, -2) is (8/9)x + y = (2/3)
Based on the given graph above, here are the answers for the following questions:
A. Based on the graph, there is only 1 cycle in it. It started at y=0 and ends in its starting point again which is still y=0.
B. This cycle is 2 units long so this means that the period of the graph is 2pi units long.
C. The amplitude is defined as the distance from the center to the peak of the valley in the graph. So basing on it, the amplitude would be 2.
Hope these answers help.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
Answer:
make the picture more clear its hard to see.
Step-by-step explanation:
Answer:
x = 105°
Step-by-step explanation:
The exterior angle of a triangle = sum of 2 opposite interior angles
x = 18° + 87° = 105°
