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Neko [114]
3 years ago
8

PLEASE HELP ME!!!!!! please show ALL work below

Mathematics
1 answer:
Monica [59]3 years ago
7 0

What is the question?

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PLEASE HELP!!! very confused
Leni [432]

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:

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1 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:

c^2=a^2+b^2 and

13^2=5^2+b^2 and

169=25+b^2 and

144=b^2 so

b = 12. Now we're ready to fill in the equation:

\frac{x^2}{25}-\frac{y^2}{144}=1 and there you go!

3 0
3 years ago
The area of a poster board is x2+3x-10 square inches. Find the dimensions of the poster board if x=14
Bas_tet [7]

Answer:12Inch and 19 inches

Step-by-step explanation:

5 0
3 years ago
Juna has 32 gallons of paint to paint a mural. The mural is divided into 6 sections. Juna uses 3 gallons of paint for each secti
REY [17]

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.

6 0
3 years ago
Read 2 more answers
John is paid $35 plus 15% of his groups
lara [203]
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!!
8 0
3 years ago
Read 2 more answers
Write 8.34* 10^4 in standard from
Kamila [148]

Answer:

83,400

Step-by-step explanation:

Just carry the decimal point over to the right 4 places.

7 0
3 years ago
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