Answer:
15) a) 8
b) y + 2
c) y - 1
16) True
17) 2n - 1, where n is an integer
18) a) 3p + 4q
b) 500 - 3p - 4q
Answer:
B
Step-by-step explanation:
The formula for finding the relationship between a secant and a tangent is
tangent length ^2 = external segment secant/full length of secant
In this case
60^2 = 48*(x + 48) Expand
3600 = 48*(x + 48) Remove the brackets/
3600 = 48x + 48^2 Expand
3600 = 48x + 2304 Subtract 2304 from both sides
3600 - 2304 = 48x
1296 = 48x Divide both sides by 48
1296 / 48 = x
x = 27
The subtraction property of equality: if we subtract one side of the equation then we also must subtract from the other side of the equation.
The division property of equality: if we divide one side of the equation by a number then we also must divide the other side by the same number.
For this equation:
3 x + 5 = 26
3 x + 5 - 5 = 26 - 5 ( the Subtraction Property of Equality )
3 x = 21
3 x : 3 = 21 : 3 ( the Division Property of Equality )
x = 7
Answer: C ) The standard method for solving an equation like 3 x + 5 = 26 is to use the Subtraction Property of Equality and then the Division Property of Equality.
Answer:
the answer is 4y-2
Step-by-step explanation:
To simplify any algebraic expression you need to add liketerms.
In this equation, the liketerms are y and 3y.
3y+y= 4y
We are left with 4y-2; we cant go any further, because 4y and -2 are not liketerms.
Answer:
X=3 Y=-7
Step-by-step explanation:
You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x
Then substitute y in the bottom equation for the y solved in the top. So,
5x + 5(17-8x) = -20
Then solve for x
x=3
Now that we know x, plug it back into the equation for y
y = 17 - 8(3)
y = -7
So your solution is (3, -7)
