Answer:
Step-by-step explanation:
The width of the rectangle = x
Therefore the length of the rectangle = 2x, as it is twice its width
We know that the perimeter of a rectangle = 2 × （length + width）
So since the perimeter equals to 30, then we can form the equation:
2×(2x+x) = 30
2×(3x) = 30
6x = 30
x = 5
width of the rectangle = x = 5
length of the rectangle = 2x = 2×5 = 10
If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.
Hope this helps :)
Answer:
y-intercept: (0, 75) ⇒ y = 75
x-intercepts: (3, 0) and (5, 0) ⇒ x = 3 and x = 5
vertex: (4, -5)
Step-by-step explanation:
Let the x-axis be the ground (when y = 0). Therefore underground when y < 0 and overground when y > 0
The function is a quadratic: f(x) = ax² + bx + c
If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5
Also, when x = 1, y = 40
- f(3) = 0
⇒ 9a + 3b + c = 0
- f(5) = 0
⇒ 25a + 5b + c = 0
- f(1) = 40
⇒ a + b + c = 40
Solve 2 equations simultaneously:
- 9a + 3b + c = 0
- 25a + 5b + c = 0
- a + b + c = 40
⇒ a = 5 b = -40 c = 75
⇒ f(x) = 5x² - 40x + 75
<u>y-intercept</u>
when x = 0
⇒ f(0) = 5(0²) - 40(0) + 75 = 75
⇒ y-intercept = (0, 75)
<u>x-intercepts</u>
x = 3 and x = 5
<u>Vertex</u>
If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4
⇒ f(4) = 5(4²) - 40(4) + 75 = -5
⇒ vertex = (4, -5)
Answer:
Step-by-step explanation:
Where's the graph?
Answer:
16.053 inches
Step-by-step explanation:
Many such probability questions are easily answered by a suitable calculator or spreadsheet.
Answer: Hi there
To find the last term in order to obtain the perfect square, take the middle term, divide it by 2, and take its square.
10 ÷ 2 = 5
5^2 = 25
Thus, the equation would be x^2 + 10x + 25
The answer is 25
Maybe mark Brainliest
:D
