Answer:
>
Step-by-step explanation:
absolute value is just the number without the negative sign if there is one.
11.5>9.5 always.
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
The top is a triangle with sides 7 and 5.4 Use the Pythagorean theorem to find the 3rd length.
3rd sides = sqt(7^2 + 5^2( = sqrt(49+25) = sqrt(74)
This side is the base of the lower rectangle.
The dotted line is the hypotenuse of a right triangle.
Use the Pythagorean theorem to solve.
sqrt(10^2 + sqrt(74)^2) = sqrt(174)
The dotted line = sqrt(174)
Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9