Answer:
Rui will reach his lowest altitude after diving for 10 seconds
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where
- h =
and k = y at x = h
In the given question
∵ d(x) =
x² - 10 x
∵ d represents his altitude in meters after x seconds
→ Compare it with the form above to find a and b
∴ a =
and b = -10
∵ h =
→ Substitute the values of a and b in the rule to find h
∴ h =
= 10
∴ h = 10
∵ h is the x-coordinate of the lowest point
∴ The time of the lowest altitude is 10 seconds
∴ Rui will reach his lowest altitude after diving for 10 seconds
Answer:
6.25
Step-by-step explanation:
Multiply 1.75 by 6 and you get 10.5
Subtract 10.5 from 48.00
The product is 37.5
37. 5 divided by 6 is equal to 6.25...
Thus, 6.25 is your answer.
:) Hope this helps!
Answer:
x=90 y=33
Step-by-step explanation:
similar, so you can reflect x and y across, and x is altitude so x=90
90+y+47=180
90+y=123
y=33
Answer:
930 in^2
Step-by-step explanation:
Area of a parallelogram is Base x Height.
so, 30 x 31 = 930.
Answer:
A, B and C
Step-by-step explanation:
Given any three side lengths of a right triangle, the longest side is the hypotenuse.
The side lengths of a right triangle must satisfy the <u>Pythagorean Theorem. </u>
Pythagorean Theorem: ![Hypotenuse^2=Opposite^2+Adjacent^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%3DOpposite%5E2%2BAdjacent%5E2)
<u>Option A:</u> ![3, 6, \sqrt{45}](https://tex.z-dn.net/?f=3%2C%206%2C%20%5Csqrt%7B45%7D)
![(\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45](https://tex.z-dn.net/?f=%28%5Csqrt%7B45%7D%29%5E2%3D3%5E2%2B6%5E2%5C%5C45%3D36%2B9%5C%5C45%3D45)
True
<u>Option B:</u> 2.5, 6, 6.5
![6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)](https://tex.z-dn.net/?f=6.5%5E2%3D6%5E2%2B2.5%5E2%5C%5C42.25%3D36%2B6.25%5C%5C42.25%3D42.25%20%28TRUE%29)
<u>Option C:</u> ![4, 8, \sqrt{80}](https://tex.z-dn.net/?f=4%2C%208%2C%20%5Csqrt%7B80%7D)
![4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)](https://tex.z-dn.net/?f=4%2C%208%2C%20%5Csqrt%7B80%7D%5C%5C%28%20%5Csqrt%7B80%7D%29%5E2%3D4%5E2%2B8%5E2%5C%5C80%3D16%2B64%5C%5C80%3D80%20%28TRUE%29)
Since all are true, the side lengths in Options A, B and C forms a right triangle,