So :

?
First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have

Add like terms -- 12 +24 = 36

Now we are at

Which is the lowest possible simplified version while remaining at exact value.
Feel free to check my math! I kinda did this off the top of my head.
Answer:
Greatest integral value of K = 3.
Step-by-step explanation:
The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.
2x^2 - kx + 9 = 0
The discriminant = (-k)^2 - 4*2*2 , so:
k^2 - 16 < 0 for non-real roots.
k^2 < 16
k < √16
k < 4
So the answer is 3.
The greatest integral value is 8.
Answer:
the length. is : x+4
Step-by-step explanation:
x² + 7x + 12 = (x+3)(x+4)
the length. is : x+4
<span>4−(2x+4)=5
4 - 2x - 4 = 5
-2x = 5
x = -5/2
x = - 2.5</span>
Answer:
19.4in
Step-by-step explanation:
1) formula for area of a triangle:
(b*h)/2=a
the area and height are already given so lets substitute them in the formula.
(b*23.8)/2=230.86
1) multiply by 2 on both sides
b*23.8=461.72
divide by 23.8 on both sides
b=19.4
the base is 19.4 in
hope this helps