Cosx= sin(90-x)
From the RHS,
sin(90-x)= sin90cosx-cos90sinx
Since sin90=1, cos90=0
sin90cosx-cos90sinx=cosx-0=cosx (proven)
Answer: The answer would be
75
Step-by-step explanation:
If you do 75+75+30 it would add up to 180 which is what a triangle is worth.
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
10−5x+1=7x+11−12
Step 1: Simplify both sides of the equation.
10−5x+1=7x+11−12
10+−5x+1=7x+11+−12
(−5x)+(10+1)=(7x)+(11+−12)(Combine Like Terms)
−5x+11=7x+−1
−5x+11=7x−1
Step 2: Subtract 7x from both sides.
−5x+11−7x=7x−1−7x
−12x+11=−1
Step 3: Subtract 11 from both sides.
−12x+11−11=−1−11
−12x=−12
Step 4: Divide both sides by -12.
−12x
−12
=
−12
−12
x=1
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = <u>y2 - y1</u>
x2 - x1
m = <u>1 - (-2)</u>
0 - 1
= <u>3</u> = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
so it is option B
