not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
X= larger number
x-6= smaller number
x + (x - 6)= 62
combine like terms
2x - 6= 62
add 6 to both sides
2x= 68
divide both sides by 2
x= 34 larger number
SMALLER NUMBER
x - 6= 34 - 6= 28
ANSWER: The smaller number is 28 and the larger number is 34.
Hope this helps! :)
Answer:
She gained 5 points in overall
Step-by-step explanation:
Shana lost points for each wrong question = 2
So, She lost points for 5 wrong questions =
She lost points for 5 wrong questions = 10 points
Now, She gained points for each correct question = 5
So, She gained points for 3 correct questions =
She gained points for 3 correct questions =15
So, Overall gain = 15-10 = 5
She gained 5 points in overall
Hence the total number of points gained by her is 5 points
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
_____
<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
