X+Y=10
XY=-300
Solve for one of the variables
X=10-Y
Plug into the other equation
Y(10-Y)=-300
Now, you have a quadratic...
-y²-10y+300=0
I would multiply everything by -1, so there's no coefficient on y²
y²+10y-300=0
And solve...
-10±√(100-4(-300))
----------------------------
2
Y=-5±5√(13)
Plug back onto original equation...
X+(-5±5√(13))=10
X±5√(13)=15
X=15±5√(13)
Note: There are 2 sets of answers, keep the negatives with the negatives, and the positives with the positives when dealing with the ±.
<em>Let the number is n</em>
<em>it means that n÷2 = -12</em>
<em>multiplying both sides by 2, we get</em>
<em>n = -24 solution.</em>
It is a Rational Number because it eventually ends.
Answer:
C. 25
Step-by-step explanation:
16, 20, 25, 50. SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar. Therefore, the value of x is 25.
We can do this by the tree method. What I've done here is to divide each factor by prime numbers until we have only prime numbers left. For example the second level of the tree from the top has 350 and 2. This is because 750 = 2*350. the next level has 175 and 2 because 350 = 2*175.
At the end we are left with the prime factors and find that 700 = 7*5*5*2*2