To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.
-25 > -5x - 12.5
Now add 12.5 to both sides of the equation.
-25 + 12.5 > -5x - 12.5 + 12.5
-12.5 > -5x
Now divide -12.5 by -5 to get the answer.
-12.5 ÷ -5 is 2.5
You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.
So, the real answer is 2.5 < x, or x > 2.5.
Answer:121
Step-by-step explanation:
Answer:
The length of all four sides of a quadrilateral are 7 inches, 14 inches, 10 inches, 10 inches
Step-by-step explanation:
Let the shortest side be
As per given information longest side =
and other 2 sides are equal in length but 3 more times that shortest side =
Perimeter of Quadrilateral = 41 inches given
But perimeter of quadrilateral = sum of all sides
Shortest side =
Longest side =
Other 2 sides =
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation
To find c substitute (8, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - x + 2 ← equation of perpendicular line
Answer:
5/16 as a decimal is 0.3125.