Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Answer:
5
Step-by-step explanation:
It is given that the solution to an inequality is
It means the original inequality is true for any values of x which is greater than or equal to 5 and less than 9.
We need to find the smallest value of x that will make the original inequality true.
Therefore, smallest value of x is 5 that will make the original inequality true.
Answer:
(3n + 4) (n-2)
Step-by-step explanation:
Are you asking to factor this 3n^2 - 2n -8 ?
If so the best way to do this problem is with the X method.
top: 3*(-8)
left: factor of 3*-8 right: factor of 3*-8
bottom: -2
try the factors 4 and -6 because 4*-6 = 3 *-8 = -24
Because notice that 4 + -6 = -2
so:
3n^2 -2n - 8 can be rewritten as 3n^2 -6n + 4n - 8
We should first use Distributive property to factor: 3n^2 -6n + 4n - 8
3n^2 -6n + 4n - 8 = 3n (n - 2) + 4(n - 2)
Now we factor by grouping here : (3n + 4) (n-2)
I factored out the group (n-2)
Therefore: (3n + 4) (n-2) = 3n^2 -2n - 8
Answer:
(x+3)^2(x-2)(x^2-16)
Step-by-step explanation:
Since g(2) has an x value of 2, plug in 2 for x. Do 2(2)squared-2(2). That would be 4
