Answer:
(7, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = 2y + 5
x/3 - y = 4/3
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: (2y + 5)/3 - y = 4/3
- Multiply 3 on both sides: 2y + 5 - 3y = 4
- Combine like terms: -y + 5 = 4
- Isolate <em>y</em> term: -y = -1
- Isolate <em>y</em>: y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define: x = 2y + 5
- Substitute: x = 2(1) + 5
- Multiply: x = 2 + 5
- Add: x = 7
And we have our final answer!
Answer:
Step-by-step explanation:
Given:
Center of the ellipse is,
Minor axis length is,
A vertex of the ellipse is at (1, -3)
Now, distance between the center and the vertex is half of the length of the major axis.
Using distance formula for (-4, -3) and (1, -3), we get:
Therefore, the value of half of major axis is, . Also,
Now, equation of an ellipse with center is given as:
Plug in and determine the equation.
Therefore, the equation of the ellipse is:
Well, you can do
area=legnth times widht
perimiter=2(legnth+width)
then you just subsitute x for legnth and y for width then solve
area=xy
perimiter=2(x+y)
then graph and find the intersection to find the solution
Answer:
The total golf balls Jack has now in terms of expression is as below
Where a is total number of balls and b is number of balls in each bag.
Step-by-step explanation:
Solution:
let a be the total number of balls and b is the number of balls in each bag.
Number of bags is 3.
So total number of balls before the friend gave is
Now the friend has given him 6 more golf balls then the total number of balls will become 3b + 6.
Therefore, the required expression is
It is a Kite because right now we are learning about that