Answer:
x=2
Step-by-step explanation:
use distributive property: x^2+2x-1=4
remove the -1 by adding 1 on both sides: x^2+2x=5
use the guadratic fromula: ax²+bx+c=0
plug in the equation x^2+2x-5=0
a,b and c are the coefficients to plug into the formula
a=1, b=2, c=-1
Finally, you will find that x=2
Answer:
(17 , -18)
Step-by-step explanation:
5 = (-7 + x) / 2
x = 17
-8 = (2 + y) / 2
y = -18
The y-intercept is (0,2)… Hope this helps..
Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:

Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get



Now,



Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
Given:
An athlete who makes
laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in
laps =
m
=
m
=
m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:



Therefore, the speed of the athlete is about 8.44 m/s.