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3 years ago

Write the equation for a hyperbola that passes through the point (‐ 2, ‐ 3)?

1 answer:

n200080 [17]3 years ago

8 0

The equation of hyperbola can vary much from simple to complex equation. Since the information given from this question is not many, the equation probably was the simple one.
Assuming that the hyperbola formula is y= x^2 +b, then the value of b where x=-2 and y=-3 would be:
y= x^2 +b
-3= (-2)^2 +b
-3= 4+b
b=-3 -4= -7

The equation would be: y= x^2 -7

You might be interested in

the temperature in the morning was -9*F. By the afternoon the temperature was 24*F. What is the range between the high and low t

Bess [88]

Answer:

$Range =24F- (-9F)=24+9F=33F$

So then for the question :"What is the range between the high and low temperatures of the day?" We can answer 33 F

Step-by-step explanation:

Previous concepts

The range of a set of data is "the difference between the largest and smallest values of this dataset". Using this definition the formula for the range is:

$Range =Maximum -Minimum$

We assume that the minimum value for the temperature on this case is -9F , so then:

$Minimum =-9 F$

And we assume that the maximum value occurs at the afternoon, and on this case then:

$Max =24 F$

Solution to the problem

And then using the definition of range we got:

$Range =24F- (-9F)=24+9F=33F$

So then for the question :"What is the range between the high and low temperatures of the day?" We can answer 33 F

6 0

3 years ago

Given the points (-3,2) and (1,2) are one leg of a right triangle, which point could be another vertex of the triangle?

docker41 [41]

Answer:

The points that could be are (-3,n) or (1,n) where n ∈ R.

Step-by-step explanation:

If we want a right triangle we can choose any point with x = -3 or x = 1 fixed.

It means, (-3,n) or (1,n) where n ∈ R.

I hope it helps you!

4 0

3 years ago

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

use p = 0.5

z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

3 years ago

Which of the following is the equation of a line perpendicular to the line y=-3/2x+4, passing through the point (3, 9)?

Anastaziya [24]

Answer: -2x+3y = 21 which is choice C

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

Work Shown:

The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.

y = m+b

y = (2/3)x+b .... plug in the perpendicular slope

9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)

9 = 2+b

9-2 = 2+b-2 ... subtract 2 from both sides

b = 7

So y = (2/3)x+b turns into y = (2/3)x+7.

This equation is in slope intercept form.

---------------------------

Let's convert to standard form

y = (2/3)x+7

3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction

3*y = 3*(2/3)x+3*7 ... distribute

3y = 2x+21

-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)

4 0

3 years ago

Does each of the following result in

Aneli [31]

Answer :
D - (x+10)(x-10)

Solution:
x^2 -100
= x^2 - 10^2
= (x+10)(x-10) { a^2 -b^2 = (a+b)(a-b)

8 0

3 years ago