ANSWER
The ratio in the simplified form is
80:3
EXPLANATION
We want to express 20 gallons to 0.75 gallons as a ratio in its simplest form.
We obtain the ratio as follows:
This is the same as
We multiply each term in the ratio by 4 to obtain;
This gives us,
Answer:
A. AB, BC, CD, AD, AC, BD
the first option! it has complete list of the line segments.
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
Answer:
The vertices are (-16,-5) and (14,-5)
The foci are (-26,-5) and (24,-5)
Please, see the attached file.
Thanks.
