Answer:
Step-by-step explanation:
<u>We know that</u>
- The diagonals of a rectangle are of equal length
- The diagonals bisect each other
<u>Considering the above we have:</u>
<u>Substitute the given values and solve for x:</u>
- 24x - 8 = 2*(8x + 4)
- 24x - 8 = 16x + 8
- 24x - 16x = 8 + 8
- 8x = 16
- x = 16/2
- x = 2
Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
Answer:
4x-4+3
Step-by-step explanation:
Answer: T= 1 and I’m not sure if 6t = 6
Answer:
The standard form of quadratic equation is 
The factored form of
is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,

Adding like terms, we have,

Now we will factorize it.
We will solve the quadratic equation
using middle term splitting method,
-16x can be written as -18x+2x
becomes

Taking x common from first two terms and 2 common from last two terms we have,


Thus, the factored form of
is 