What he said because. And so yea
Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.
DE = 3x + 4
EF = 5x - 2
DE = EF
DE + EF = DF
Now, let's plug our values for DE and EF into our first expression.
3x + 4 = 5x -2
Add 2 to both sides and subtract 3x from both sides.
6 = 2x
Divide both sides by 2
3 = x
Let's plug 3 in for x into DE.
DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13
DE = EF = 13
We can plug 13 in for DE and EF to get DF
DF = DE + EF = 13 + 13 = 26
Answer:
y = 3.6x + 28
Step-by-step explanation:
y = Mx + c
64 = 3.6(10) + c
64 = 36 + c
64 - 36 = c
28 = c
Hey there!
When dealing with expressions, there are three terms that show up often: coefficient, variable, and constant. A variable is an unknown term commonly represented by a letter in equations (e.g. x, y, etc.) and a coefficient is a number attached to a variable (in your problem, 7 would be the coefficient of x, your variable, in 7x). That leaves your constant, which is simply a number that stays the same and doesn't contain a variable (e.g. 8, 10, 123, etc.).
Your answer will be "5".
Hope this helped you out! :-)
x - 4y = 15
-x -x (subtract x on both sides)
-4y = 15 -x
---- -------- (divide by -4 on both sides)
-4 -4
y = -3.75 - 1/4x (change to slope-intercept form which will be y = -1/4x -3.75)
substitute that equation for y on the other equation so you will get
x - 4(-1/4x - 3.75) = 15
x + 1x + 15 = 15 (use distributive property)
2x + 15 = 15 (combine like terms)
2x = 0 (subtract 15 on both sides)
x = 0 (divide both sides by 2)
substitute for x on any equation (Im going to be using x - 4y = 15)
0 - 4y = 15
-4y = 15 (add 0 to both sides)
y = -3.75 (divide both sides by -4)
Point of intersection is (0, -3.75)
