Answer:
x = 24/√3
4√3 = y
Step-by-step explanation:
We are given that this is a right triangle as well as two angles and a side.
Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to
(180-90-30) = 60 degrees
Next, given sohcahtoa, we can say that
sin(30) = opposite/hypotenuse = y/x
cos(30) = adjacent/hypotenuse = 12/x
tan(30) = opposite/adjacent = y/12
We want to only have one variable per equation so we can solve for the variable, so we can use
cos(30) = 12/x and tan(30) = y/12
Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get
cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get
x = 12/cos(30). Next, cos(30) = √3/2, so we have
x = 12/(√3/2)
x = (12/1) / (√3/2)
x = (12/1) * (2/√3)
x = 24/√3
For y, we have
tan(30) = y/12
multiply both sides by 12 to isolate the y and remove the denominator
tan(30) * 12 = y
√3/3 * 12 = y
√3 * 4 = y
4√3 = y
<u>Answer</u>
-4x - 2
<u>Explanation</u>
To get the function needed, first calculate the slope of the graph.
slope = (change in y) / (change in x)
= (2 - -2)/(-1 - 0)
= 4/-1
= -4
Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.
-4 = (y - 2)/(x - -1)
-4(x + 1) = y - 2
-4x - 4 = y - 2
y = -4x - 4 + 2
= -4x - 2
∴ f(x) = -4x - 2
A triangles is 180 degrees. 100+50=150.
180-150=30
X=30
Answer:
y = -2x - 10
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
_____________________________
Given equation
y = -2x +4
comparing it with y = mx+ c
m = -2 , c = 4
_____________________________
when two lines are parallel, their slopes are equal.
Let the equation of new line in slope intercept form be y = mx + c
Thus slope of of new required line is -2
Thus m for new line is -2.
now, equation of required line : y = -2x+c
Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.
Substituting the value of (-4, -2) we have
-2 = -2(-4)+c
=> -2 = 8 +c
=> -2 -8 = c
=> c = -10.
Thus , equation of required line is y = -2x - 10.
Answer:
0.37
Step-by-step explanation:
