Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are
.
Step-by-step explanation:
We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-
.....(i)
Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)
Then , by using (i) , the coordinates of the midpoint of CM would be :-

Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are
.
200 gallons
5/5-4/5=1/5
1/5=40 gallon
40x5=200 gallon
Domik weights 30 pounds more than his sister
Together they weigh 330 pounds
Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"
And their total weight can be calculated as:

From this expression you can calculate the value of x:

x=150 pounds
x+30=150+30=180 pounds
Dominik weights 180pounds and his sister 150 pounds
Answer:
-12
Step-by-step explanation:
The Equation:
z + 7 = -5
Solve for the variable, z by isolating it. Note the equal sign, what you do to one side, you do to the other.
Note the rule PEMDAS.
PEMDAS is the order of operation & =
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
Isolate the variable. To do so, subtract 7 from both sides:
z + 7 = -5
z + 7 (-7) = -5 (-7)
z = -5 - 7
Simplify:
z = -5 - 7
z = -12
-12 is your value for z.
~
In the equation y=mx+b, the b value represents the y intercept. However, y must be completely isolated. You must divide all numbers by 15. The y intercept is equal to -750/15 which equals -50