Answer:
0
Step-by-step explanation:
In the given expression, substitute -5 for x and 25 for y:
5|x|-y to the third power over x becomes
5|-5| - 25 25 - 25
------------------ = -------------- = 0
-5 -5
Answer:
-9a+12
Step-by-step explanation:
Answer:
x + 3
Step-by-step explanation:
A 'sum' means addition, 'a number' is represented by a variable, in this case, I chose 'x'. I could have picked any variable I wanted.
The sum of three and a number means: three plus some number, which is
3 + x in math language. We write variables before constants, so it gets
rewritten as x + 3
Answer:
a) The slope of the line is 
b) The slope of the line is 1
Step-by-step explanation:
The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = 
a)
∵ The line passes through points (-3, 4) and (2, -8)
∴ x1 = -3 and y1 = 4
∴ x2 = 2 and y2 = -8
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 
∴ m = 
∴ The slope of the line is 
b)
∵ The line passes through points (5, -3) and (1, -7)
∴ x1 = 5 and y1 = -3
∴ x2 = 1 and y2 = -7
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 
∴ m = 1
∴ The slope of the line is 1
Answer:
28
Step-by-step explanation:
Use the pythagorean theorem and solve for a:
a² + b² = c²
a² + 21² = 35²
a² + 441 = 1225
a² = 784
a = 28
So, the missing length is 28.