Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Answer:12Inch and 19 inches
Step-by-step explanation:
Answer:
You will have 14 gallons of paint left over.
Step-by-step explanation:
If you divide a mural into 6 sections, and paint each section with 3 gallons of paint per section, that means you are using 3 gallons of paint 6 times.
3 x 6 = `18
Therefore, you will be using 18 gallons of paint for the mural, and when you subtract 18 gallons from the original 32 gallons of paint, you get 14 gallons left over.
The answer would be y=0.15x + 35 because 35 is like the base, the lowest he’ll pay, and then he’ll pay 0.15 which is 15% of the groups tips which is where the x comes in!
hope this helps!!
Answer:
83,400
Step-by-step explanation:
Just carry the decimal point over to the right 4 places.