Answer:
65
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The y-intercept for each line is...
y=2x+7 (0, 7)
y=2x-3 (0, -3)
Note this is because...
y=mx+b
b represents the y-intercept
Using the distance formula...
Answer:
z = 72°
Step-by-step explanation:
Complimentary angles sum to 90° , thus
z + y = 180, that is
z + 18 = 90 ( subtract 18 from both sides )
z = 72°
Answer:
Step-by-step explanation:
A quick review on PEMDAS, the order of how to solve an equation:
P - parentheses. When parentheses are being used, you have to do everything inside them before doing everything outside of them.
E - exponents. We'll skip these, since there aren't any exponents we need to worry about in this equation.
M/D - multiplication/division. I include these both together because they can be done at the same time.
A/S = addition/subtraction. Can also be done at the same time.
Some other things to note:
You add all the things with an x attached to it, and you add all the things without an x attached to it, and these never cross.
When you bring something from one side of an equal sign to another, you make it negative.
Let's solve for x using what we've learned:
Just add the numbers in front of variables if the variables are the same!
2) 5x+7+2x=7x+7 Because you would add the 5 and 2, and since the 7 doesn't have a variable you add it onto the end.
3) 16+4p (13p-9p is 4p)
4) y^2 + 5y (you can't combine y^2 with a y variable because it has a different exponent! if there is no exponent shown it is assumed to be 1. If exponents are the same you combine them, but if not you leave it as is)
5) You distribute the 5 (multiply) with 2h and 3, leaving 10h+15+3h which is 13h+15
6) 19+4n (12+7 is 19, and 18n-14n is 4n)
7) Distribute the 2 to get 18+10k
8) Distribute the 5 to get 15m+10
9) Distribute the 6 to get 6g+6h (you can't combine these because they are different variables)
10) The GCF of 4 and 8 is 4. Place the 4 out of the parentheses. Divide 4d and 8 by four and place them inside the parentheses. 4d is 4 times d so if you divide 4 by 4 you're left with 1d or just d. 8 divided by four is two. 4(d+2)
11) GCF= 7 so 7(3p+5q)
12) GCF= 9 so 9(2x+y)