Answer:
The y intercept should be 2 lower than the original equation
Step-by-step explanation:
Answer:
x = 16
y = 16 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 60 = y/ 32
Multiply each side by 32
32 sin 60 = y
32 ( sqrt(3) /2) = y
16 sqrt(2)
cos theta = adj/ hyp
cos 60 = x /32
32 cos 60 = x
32 (1/2) =x
16 =x
Answer:
y = x+1
Step-by-step explanation
The equation in slope intercept form is expressed as y = MX+c
m a the slope
Get the slope of the line
Given the line x-y =9
-y = -x+9
y = x-9
Slope of the line is 1
Since it is parallel to the given line, the slope o the required line is also 1
Substitute m = 1 adnd (4,5) into the point slope form
y-y0 =m(x-x0)
y - 5 = 1(x-4)
y-5 = x-4
y= x-4+5
y = x+1
Hence the required equation is y = x+1
In the figure, the triangle ABC is a right triangle, a is the adjacent leg to the angle B, and b is the opposite side to the same angle.
So, you can use the tangent ratio which relates the angle, the opposite leg and the adjacent leg:
tangent (angle B) = b / a => b = a * tan(B)
=> b = 12 * tan(48°) = 13.33≈ 13
Answer: 13
Answer:

Step-by-step explanation:
The standard form of a quadratic is:

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

The b in the expression is -18.


This is the number that is added.