Answer:
multiply
Step-by-step explanation:
It says for you to multiply.
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Answer:
<em>B: P + 0.25 P</em>
<em>D : 5/4 P</em>
Step-by-step explanation:
The price is P.
The tax is 25% of P, or 0.25P.
The total price is the price plus the tax,
P + 0.25P = P + 1/4P = 4/4P + 1/4P = 5/4P
Answer:
-25 and -4
Step-by-step explanation:
to solve this, you need to use the sum product pattern. this means you're going to take the x factor, 29x and separate it into it's squares.
(x^2+25x)+(4x+100)
then you take out the common factor in each separated equation
x(x+25)+4(x+25)
you see that the items in the parentheses are the same, this means that this is one of the equations you will use when factoring. the rest of the equation that is left out (the common factors) is the other equation
(x+25)(x+4)
to get the zeroes, you set each equation equal to zero and solve
x+25=0 x+4=0
x= -25 x= -4