I hope this helps you
boys+4=girls
boys+girls=26
boys+boys+4=26
2.boys=22
boys=11
girls=15
Answer:
Option D.) x + 2x − 3 = 26
Step-by-step explanation:
Let
x ------> the length of Nate's car
y ------> the length of Maya's car
we know that
x+y=26 -----> equation A
y=2x-3 ----> equation B
substitute equation B in equation A and solve for x
x+(2x-3)=26
3x=26+3
x=29/3 in
Find the value of y
y=2(29/3)-3
y=(58/3)-3
y= 49/3 in
Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
Consider the example
(3x+5) - (x-10)
When we subtract off the (x-10), we are basically subtracting off x and also subtracting off -10. This is the same as adding on 10 because -(-10) = 10
So we would have these steps
(3x+5)-(x-10)
3x+5-x+10
2x+15
Often students forget to distribute the negative all the way through and would have 3x+5-x-10 as an incorrect step. You need to multiply that -1 through to each term, so that's why the distributive property is used.
TanY=y/x
cotY=1/tanY
cotY=x/y
