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madreJ [45]
3 years ago
9

Which is the equation of an asymptote of the hyperbola whose equation is

Mathematics
2 answers:
Makovka662 [10]3 years ago
6 0

Answer:C  y=3x-5

Step-by-step explanation:

just took the review test on edg

goldfiish [28.3K]3 years ago
4 0

Answer:

C. y = 3x - 5

Step-by-step explanation:

Given the general equation of a hyperbola:

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

The equation for the asymptote line is given by:

y=k+\frac{b}{a} (x-h)

In your problem, we have

\frac{(x-2)^{2} }{4}-\frac{(y-1)^{2} }{36}=1

we have:

h=2,

k=1

a²=4 --> a=2,    im just taking the squareroot

b²=36 --> b=6

put it into your equation

y=k+\frac{b}{a} (x-h)

y=1+\frac{6}{2} (x-2)

y = 1 + 3(x-2)

y = 1 + 3x - 6

y = 3x - 5

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Lena [83]
Answer : x = 20

Explanation :
3x + 2x +20 + 4x - 20 = 180

(3+2+4=9)

9x + 20 - 20
The 20s cancel each other out because one is positive and the other is negative

9x = 180

9x/9 = 180/9

X = 180 divided by 9

X = 20
7 0
3 years ago
Please help !!!!!!!!!
atroni [7]

Answer:

Katherine invested $12,000

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interest,

P = principal,

r = rate (as decimal),

t = time (in years).

In your case,

t = 1 year,

r = 0.06 (or 6%)

P + I =$12,720, thus

12,720-P=P\cdot 0.06\cdot 1\\ \\12,720-P=0.06P\\ \\12,720=P+0.06P\\ \\1.06P=12,720\\ \\P=\dfrac{12,720}{1.06}\\ \\P=\$12,000\\ \\I=\$12,720-\$12,000=\$720

6 0
3 years ago
The area of a square is 36cm2. What are the dimensions of the square? You must show your work. Pls tell me what the dimensions o
Helga [31]

Answer:

6 cm by 6 cm

Step-by-step explanation:

We know that the formula for area of a square is A = s² where A = area and s is the length of one side. We know that A = 36 so:

36 = s²

√36 = s

s = ±6

Note that s = -6 is an extraneous solution because you can't have a side length of -6, therefore the answer is s = 6 so the dimensions of the square are 6 cm by 6 cm.

5 0
3 years ago
Read 2 more answers
Who can help mee tutorss wont workkkk
klasskru [66]

Answers:

  • Similar = Yes, they are similar
  • How:  AA similarity
  • Similarity statement:  triangle HGF ~ triangle HMN

The ~ mark means "similar"

=====================================================

The red angle markings tell us which angles are congruent to one another. We have these two pairs of congruent angles

  • angle H = angle H (both triangles unfortunately reuse H) by the single arc marking
  • angle G = angle M, by the double arc markings

Because we have two pairs of congruent angles, we use the AA similarity theorem. AA stands for angle angle. We could use three pairs, but two pairs is the minimum needed for similarity statements.

-----------

To figure out what goes in the third answer box, note how the order HGF is given to us. The order is important.

We have H first, G second, F third.

H being first, and it having a single arc, means that whatever has a single arc on the other triangle must be first. That would be H. Unfortunately they reuse angle H which makes things confusing a bit.

G is second in HGF, and G has the double arc marking. Note how M also has this double arc marking. Therefore we have M second in the answer. So far we have HM as part of the third answer.

The only thing left is N. Therefore, we have triangle HMN as the answer for the third box.

Put another way, we have these pairings:

  1. H (single arc mark) = H (single arc mark)
  2. G (double arc mark) = M (double arc mark)
  3. F (no marking) = N (no marking)

This is why the order is important. So we can see how the angles pair up in the order that they do.

This is why triangle HGF is similar to triangle HMN.

We can write that as triangle HGF ~ triangle HMN

The ~ mark means "similar"

We don't have enough information to prove that the triangles are congruent or not. So we cannot say \triangle HGF \cong \triangle HMN. Your teacher made a typo when using the congruence symbol \cong

Instead, it should be \triangle HGF \sim \triangle HMN

3 0
3 years ago
2818 people ferried to an island. If the ferry took 70 people in one trip, how many trips did the ferry make.
sasho [114]

Answer:

41

Step-by-step explanation:

Divide 2818 by 70 and it comes out to: 40.2571429 it is not 40 because their is still some left over so there will be 41 ferry's and one of them will not be a full ride!

5 0
2 years ago
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