Answer:
x=-5
Step-by-step explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5
Answer:
x = 3 sqrt 2
Step-by-step explanation:
We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:
6 = x sqrt 2
x = 6/sqrt 2
Rationalize the denominator:
x = (6 sqrt 2)/2
x = 3 sqrt 2
Answer:
<h3>913x - 96</h3>
Step-by-step explanation:
Given
The expression of number of people entering on Saturdays = 508x-70
The expression of number of people entering on Sundays = 405x-26
total amount of people entering the theme park that weekend = Total entering on Saturday + total entering on Sunday
Substitute the expression;
total amount = 508x - 70 +(405x-26)
total amount = 508x+405x-70-26
total amount = 913x - 96
Hence the total amount of people entering the theme park that weekend is 913x - 96
they are equal to each other
7+3=10
60/10=6
6x7=42
6x3=18
there is 18 trucks in the parking lot
