Answer:
Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.
Step-by-step explanation:
Hope this helps!
Answer: Right Angle
Step-by-step explanation:
And Since The Angles Of a Trangle Add Up To 180° When You Substract 90 From It You Remain With Another 90° Which Means The Angle Is Non Other Than a right angle traingle
60° + 30° = 90°
180° - 90° = 90°
∴ 90° = Right Angle Traingle
Answer:

Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x =
=
← in simplest form
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
Answer:
Monday he walked
Wednesday he walked
Friday he walked
Step-by-step explanation:
Given Mason walked on Monday, Wednesday and Friday. These distances were six-eights mile, one-fourth mile, and one-sixth mile. He did not walk the farthest on Monday. He walked less on Friday than Monday. we have to find how far he walked each day.
distances are
that are 0.75, 0.25 and 0.17 respectively.
Now, he didn't walk farthest on Monday and also walked less on Friday than Monday.
∴ Less distance travelled is
which is on friday and then
on monday.
Rest distance which is
on wednesday.
Hence, Monday he walked
Wednesday he walked
Friday he walked