ANSWER
D.
EXPLANATION
The standard equation of the hyperbola is
We multiply through by 36 to obtain:
We now expand to get,
Expand :
To get the general form, we equate everything to zero to get,
The correct choice is D.
Answer:
Step-by-step explanation:
chickens + goats = 13
so...
c + g = 13, so...
g = (13 - c)
2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...
2c + 4(13-c) = 48, so
2c + 52 - 4c = 48, so
-2c = -4, so
2c = 4, so
c = 2.
There are 2 chickens, and therefore 11 goats.
The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:
−0.4x − 3.1 = 5.9
−0.4x − 3.1 + 3.1 = 5.9 + 3.1
-0.4x = 9
- Divide both sides by -0.4
-0.4x/-0.4 = 9/-0.4
x = -22.5
Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
<u></u>
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Learn more here:
brainly.com/question/16864747
Answer: The numbers are 10 and 23
Step-by-step explanation:
Let the smaller number be x
And the larger number be y
Ist sentence;
1. The sum of two numbers is 33.
X + y= 33 .........eqn 1
2. second sentence
the larger number is 3 more than two times the smaller number.
Y = 3 +2x
Put y into eqn 1
X+ 3 +2x = 33
3x= 33- 3
3x= 30
X = 30/3
X= 10 and y= 3+ 2x
Y= 3+ 2(10)
Y = 3+ 20
Y= 23
Therefore the two numbers are 10 and 23
Answer:
$60
Step-by-step explanation:
Jason saved gas money (x). Maria saved $20 more than double what Jason has (20 + 2x). Combined, they saved $200. Solve for x for Jason's amount.
(x) + (20 + 2x) = 200
x + 20 + 2x = 200
3x + 20 = 200
3x + 20 = 200
3x + 20 - 20 = 200 - 20
3x = 180
3x/3 = 180/3
x = 60
Jason saved $60 for this trip.
