Only need a answer for problem a

y-1= ±3/10(x-2)

Im not sure how to get this answer but my teacher gave it to me so i hope this helps!

The equation of the asymptote of the given hyperbola is; y - 1 = ±(3/10)(x - 2)

We are given the equation of the hyperbola as;

[(y - 1)²/9] - [(x - 2)²/100] = 1

We can rewrite this equation as;

[(y - 1)²/3²] - [(x - 2)²/10²] = 1

The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

Comparing this general form to our given equation we can see that;

k = 1

h = 2

a = 3

b = 10

Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

Plugging in the relevant values gives us;

y = ±(3/10)(x - 2) + 1

y - 1 = ±(3/10)(x - 2)

Read more about hyperbola asymptotes at;https://brainly.com/question/12919612

Answer:

1.5 repeating

Step-by-step explanation:

Answer:

Can you show the pie chart please.

Step-by-step explanation:

Answer:

show pie chart

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer: length times width divided by 2

Step-by-step explanation: it's half a rectangle

Answer:

They are congruent bc they are the same size and shape

Answer:

Congruent by SAS

Step-by-step explanation:

As given by the diagram, we have two congruent sides already. From the set of parallel lines, we see that two angles are congruent because they are corresponding. Luckily, this angle falls between the two congruent sides, which gives you the proof of SAS.

Answer:

x

Step-by-step explit can only be a function if every input has its own output

Answer:

C. Y=4/25x

Step-by-step explanation:

If y varies directly as x, tis is expressed as;

y ∝ x

y = kx

k is the constant of proportionality

Goven

y = 16/5 and x = 20

16/5 = 20k

16 = 100k

k = 16/100

k = 4/25

Substitute k = 4/25 into the original equation

y = kx

y = 4/25 x

Hence the required expression is y = 4/25 x

Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1

Answer:

a.3.30

Step-by-step explanation:

Answer:

3.30

Step-by-step explanation:

Because I did le Quiz

Answer:

Slope = 7

Y intercept = 23

Step-by-step explanation:

(can I get brainliest now)

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

Given

[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]

Required

Solve for x

[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]

Change base of 16 and base of 4 to base 2

[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]

Express 16 and 4 as 2^4 and 2^2 respectively

[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]

The above can be rewritten as:

[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]

[tex]log_22 = 1[/tex]

So, we have:

[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]

[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]

Multiply through by 4

[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]

[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]

[tex]7log_2(x) = 28[/tex]

Divide through by 7

[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]

[tex]log_2(x) = 4[/tex]

Apply the following law of logarithm:

If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]

So, we have:

[tex]x = 2^4[/tex]

[tex]x = 16[/tex]

Answer:

-8n+64

Step-by-step explanation:

Answer: 2800 dollars in intrest

Step-by-step explanation:

Answer:

This function doesn't make sense, unless you make it f(t)=225(1.23)^x. I will assume that you forgot to add the x squared. The rate of decay is 23%. Since the base is between 1 and 0, it is an exponential decay and you'll need to subtract the r-value with 1. (If it were an exponential growth, you would have to add 1.) The initial value or the a-value is 225.

Answer:

6a - 2

Step-by-step explanation:

4 - 3(-2a + 2)

4 + 6a - 6

6a - 2

Answer:

A. Dennis can complete less than 24 questions.

Step-by-step explanation:

Let x represent the remaining number of questions to be completed.  He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.

He has already spent 10 minutes; this gives us 5/2x+10.

He has less than 70 minutes to spend; this gives us the inequality

5/2x+10<70

Subtract 10 from each side:

5/2x+10-10 < 70-10

5/2x < 60

Divide both sides by 5/2:

5/2x÷5/2 < 60÷5/2

x < 60/1 ÷ 5/2

To divide fractions, flip the second one and multiply:

x < 60/1 × 2/5

x < 120/5

x < 24

Answer:

Dennis can complete fewer than 24 questions.

Step-by-step explanation:

Answer:

When The Number Of Units Sold On November 21 Is 36, The Ending Inventory On November 30 Is 3. When The Number Of Units Sold On November 21 Is 8, The Cost Of Merchandise Sold On November 21 Is 4.

Step-by-step explanation:

so 4

can i have brainliest

Answer:

3 • 74509

I this is right

Answer:

C

Step-by-step explanation:

I'm pretty sure it's C

Answer:

not sure but b or c because it says less than

Step-by-step explanation:

Answer:

(4, 1)

Step-by-step explanation:

since y=1/2x-1 in the first equation, you can substitute it into the second one:

1/2x - 1 = -x + 5

then add x to both sides:

3/2x - 1 = 5

then add 1 to both sides:

3/2x = 6

then divide both sides by the fraction to get:

x=4

then you substitute 4 into y=1/2x - 1

y = 1/2(4)-1

y = 1

so your answer is x=4 and y=1

Answer:

x= -730/363

Step-by-step explanation:

9x-6=729×3(x+2) multiply

9x-6=2187(x+2) remove the paranthesis

9x-6=2187x+4374 move the terms

9x-2187x=4374+6 collect like terms calculate

-2178x=4380 divide both sides

Answer:

Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]

Step-by-step explanation:

We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5

The formula used to find sum of the geometric sequence is: [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Where a is the first term, r is the common ratio and n is the number of terms

Now finding sum of the first five terms of the geometric sequence

We have a=5, r=1/5 and n=5

Putting values in the formula:

[tex]S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}[/tex]

So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]

Answer:

2.31 and 3.31

Step-by-step explanation:

since .81 is repeating, we can assume .31 does too

Answer The Greatest Common Factor of 16, 40, 68 is 4. But the GCF of 16s^3t, 40s^5 and 68t^2 is 1, as there are no common terms for these given alphanumeric terms.

Step-by-step explanation:

Answer:

m= -1/7

b=2

Step-by-step explanation:

Answer:

-7/10

Step-by-step explanation:

Answer:

you got you must be so Mad rn that I'm not helping you with your question Jiggle what you going to do with that big old behind

Step-by-step explanation: