Answer:
10 sides (decagon)
Step-by-step explanation:
You find the perimeter by adding up all the sides of a shape.
side + side + side + side... = perimeter
You know that <em>each</em> side is 4/5 centimeters. You also know that the perimeter is 8 centimeters.
<u>You can set up an equation like this:</u>
4/5 * number of sides = 8
<em>or you can write it in a simpler form as:</em>
4/5x=8
<u>Now solve it like a normal equation:</u>
5 * (4/5x) = (8) * 5
(4x) / 4=(40) / 4
x = 10
So, you know the shape has 10 sides that are 4/5 centimeters each.
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 =
(x + 5)² ← add 2 to both sides
y =
(x + 5)² + 2
or
f(x) =
(x + 5)² + 2 → D
Answer:
9
Step-by-step explanation:
For 4x/x+3, just cancel the x to get 4+3=7
For -4x/x+6, cancel the x to get -4+6=2
7+2=9
Hope this helps
The solution is (3 , 4) ⇒ 2nd answer
Step-by-step explanation:
The system of equations can be solved by:
- Elimination method
- Substitution method
The system of equations is:
y = 3 x - 5 ⇒ (1)
y =
x + 3 ⇒ (2)
By using the substitution method substitute y in equation (2) by equation (1)
3 x - 5 =
x + 3
Subtract
x from both sides
x = 8
Divide both sides by
x = 3
substitute x by 3 in equation (1)
y = 3(3) - 5
y = 9 - 5
y = 4
The solution is (3 , 4)
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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