A) x^2 + y^2 = 80
B) x * y = 12
What is x^2 -y^2?
B) x * y = 12
So y = 12 / x
A) x^2 + (12/x)^2 = 80
x^2 + (12/x)^2 = 80
x^2 + (144/x^2) = 80
Multiplying each side by x^2
x^4 + 144 = 80x^2
x^4 -80x^2 + 144 = 0
X = 1.355 (found by trial and error)
Y =
<span>
<span>
<span>
8.85608</span></span></span> (found by trial and error)
Answer: 35
Step-by-step explanation:
Given : A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble.
Total = 4+2+1+3+1=11
To find sets of four marbles include none of the red ones, we need to exclude red marbles when we count the total number of marbles.
Then, the total marbles(exclude red) =11-4=7
Now, the combination of 7 marbles taking 4 at a time is given by :-

Hence, the number of sets of four marbles include none of the red ones = 35
<span>25 - (60% × 25) =
</span><span>25 - 60% × 25 =
</span>(1 - 60%) × 25 =
<span>(100% - 60%) × 25 =
</span><span>40% × 25 =
</span><span>40 ÷ 100 × 25 =
</span><span>40 × 25 ÷ 100 =
</span><span>1,000 ÷ 100 =
</span><span>10;
The answer is 10</span>
Answer:
7a+b-9c+17d
Step-by-step explanation:
-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)
Distribute
-5a+10b-15c+20d+12a-9b+6c-3d
Combine like terms
7a+b-9c+17d