Answer:
y = -3 - 1/2 x
Step-by-step explanation:
subtract x from both sides and divide by 2
8.5, since there are 2 significant digits, the only 2 numbers would be 8 and 4, so round at 4 since 5 isn't included by is above and equal to 5
Answer:
6 and 8
Step-by-step explanation:
Let's start off by thinking at what the question is asking us.
The product (multiplication) of two even numbers (x)(x+2) is which means =,
12 more (12) than the square of the smaller number (x).
So put that all together and you get (x)(x+2)=12+x^2=
Distribute the x, (x)(x+2)=
x^2+2x=x^2+12 Subtract x^2 from both sides.
2x=12
Divide both sides by 2 and you get x=6
So the two numbers are 6,8
6(8)=12+6^2
48=48
<h3>
Answer: Choice D) 22.5</h3>
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Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
