Well, you should probably check with somebody else but i had got 26.5 or 26 1/2. I'm not sure if that is correct due to it saying to use quadratic equations. Sorry
Answer:
![\sf y=\dfrac{5}{3}x+4](https://tex.z-dn.net/?f=%5Csf%20y%3D%5Cdfrac%7B5%7D%7B3%7Dx%2B4)
Step-by-step explanation:
<u>Given:</u>
<u />![\textsf{slope of $\dfrac{5}{3}$, and a y-intercept of $4$}](https://tex.z-dn.net/?f=%5Ctextsf%7Bslope%20of%20%24%5Cdfrac%7B5%7D%7B3%7D%24%2C%20and%20a%20y-intercept%20of%20%244%24%7D)
⇒ Slope-Intercept Form: y = mx + b
<u>where:</u>
- m is the slope
- b is the y-intercept (when x = 0)
Substitute the given values:
![\sf\\ \implies y=mx+b\\\\\implies y=\dfrac{5}{3}x+4](https://tex.z-dn.net/?f=%5Csf%5C%5C%20%5Cimplies%20y%3Dmx%2Bb%5C%5C%5C%5C%5Cimplies%20y%3D%5Cdfrac%7B5%7D%7B3%7Dx%2B4)
Learn more here:
brainly.com/question/27803801
Answer:
A function can be any set of points where one input is equal to one output. You cannot have two X values with the same Y value, for example.
<u>I believe the answer is neither</u> because in both sets you can see they have different Y values for the X values 2 and 9.
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
23. Kim and Jay leave at the same time to travel 25 miles going to the beach.
Kim drives 9 miles in 12 minutes
Jay drives 10 miles in 15 minutes.
Question: who will arrive first?
Unit rate of Kim
=> 9 miles in 12 minutes
=> 0.75 miles / minutes
=> 25 / 0.75
It will take 33.33 minutes for Kim to arrive
Unit rate of Jay
10 miles in 15 minutes.
=> 10 miles /15 minutes
=> 0.67 miles /minute
=> 25 / 0.67
It will take Jay 37.31 minutes to arrive at the beach.
SO Kim will arrive first