Answer:
t=0 and t=5
Step-by-step explanation:
5t = t^2
Subtract 5t from each side
5t-5t = t^2 -5t
0= t^2 -5t
Factor out a t
0= t(t-5)
Using the zero product property
t=0 and t-5 =0
t=0 and t-5+5=0+5
t=0 and t=5
Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
<u>Numbers:</u>
<u>Let's see which option is correct:</u>
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
- 4.5 in not an integer, it is incorrect
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
- 4.5 is not a whole number, this is incorrect
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
- -1.1 is not and integer, 4.5 is not a whole number, this is incorrect
First use the slope formula to form the slope
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1