Answer:
m = 7
Step-by-step explanation:
2m + -4 = 10
Reorder the terms:
-4 + 2m = 10
Solving
-4 + 2m = 10
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2m = 10 + 4
Combine like terms: -4 + 4 = 0
0 + 2m = 10 + 4
2m = 10 + 4
Combine like terms: 10 + 4 = 14
2m = 14
Divide each side by '2'.
m = 7
Simplifying
m = 7
8 + 0.3 =
Standard . . . 8.3
Words . . . "eight and three tenths".
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
To solve for a, you must get a by itself on one side of the equation. Now, a is "joined" to m by multiplication. To "separate" them, use the inverse operation, division.
Divide both sides of the equation by m.
Answer:
1. the vertex form of your function is f(x)= (x+-2)^2+-7
The vertex is at (2,-7)
2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4
The vertex is at (7/2, -41/4)
Step-by-step explanation:
