Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Tan 2 x-2 tan x=0
Tan x (tan x-2 ) =0
A tan x=0 —> x=0 and x =K π
B tan x=2 —> x=63.43 +k180 deg
Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:
5 = m(0) + b
5 = 0 + b
5 = b
To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).
Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2
Our equation is y = -2x + 5
Answer:
109
Step-by-step explanation:
Formula
<ZHG + <IHZ = <IHG
Givens
<ZHF = 11x - 1
<IHZ = 24
<IHG = 12x + 13
Solution
11x - 1 + 24 = 12x + 13 Combine terms on the left
11x + 23 = 12x + 13 Subtract 13 from both sides
<u> - 13 - 13 </u>
11x + 10 = 12x Subtract 11x from both sides
<u>-11x -11x</u>
10 = x
Answer
11x - 1 = 11*10 - 1 = 110 - 1 = 109
Answer:
y=2x-10
Step-by-step explanation:
y+4=2x-6
-4
y=2x-10
