Hope it will help the formula SOHCAHTOA means Sin=oppsite\hypotenuse Cos=adjacent\hypotenuse and Tan=opposite\adjacent
Answer:
x = 3
y = -3
Step-by-step explanation:
We have two equations and are asked to solve for x and y.
y = -3x + 6
3y = -2x - 3
Substitute the y in the first equation in the second equation :
3(-3x + 6) = -2x - 3
Distribute :
-9x + 18 = -2x - 3
Solve for x by isolating it :
Subtract 18 from both sides :
-9x = -2x - 21
Add 2x to both sides :
-7x = -21
Divide -7 from both sides :
x = 3
Replace x in the first equation :
y = -3(3) + 6
y = -9 + 6
-9 + 6
y = -3
So if y=-5x-23 then we can plug that value in for y in x-10y=6, so it becomes
x-10(-5x-23)=6
x+50x+230=6
51x=-224
x=-4.39
plug this x value into the equation y=-5x-23
y=-5(-4.39)-23
y=21.95-23
y=-1.05
The answer is B)81.33 square units
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
