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lord [1]
4 years ago
8

Identify the hyperbolas (represented by equations) whose centers are at (2, 1)

Mathematics
1 answer:
weqwewe [10]4 years ago
5 0
When the transverse axis is horizontal, a hyperbola centered at (h,k) has formula (x-h)^2/a^2-(y-k)^2/b^2=1. Plug in h=2, k=1, the formula is (x-2)^2/a^2-(y-1)^2/b^2=1 for some a,b. If the transverse axis is vertical, the formula is (y-h)^2/a^2-(x-k)^2/b^2=1, and (y-2)^2/a^2-(x-1)^2/b^2=1 in our case.
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Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sket
evablogger [386]

Answer:

The slope of line = m = 6

The y-intercept = b = 3

Please check the attached graph below.

Step-by-step explanation:

Given the line

y = 6x + 3

We know that the slope-intercept form of the line is

y = mx+b

here

  • m is the slope
  • b is the y-intercept

now compare the slope-intercept form with the given line

y = 6x + 3

so

The slope of line = m = 6

The y-intercept = b = 3

Please check the attached graph below.

6 0
3 years ago
Is 6.89 a rational number
PolarNik [594]

Answer:

Yes

Step-by-step explanation:

A number that can be made by dividing two integers

3 0
3 years ago
Read 2 more answers
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 10 inches, a
tankabanditka [31]

Answer:

Surface area means all of the outside areas, kind of like when you wrap a present.

Step-by-step explanation:

1st draw the box and find the area of the top and the bottom of the figure

10 x 3 = 30 for the top and 30 for the bottom, so 60 for both.

2nd find the area of two opposite sides:

10x 4.5 = 45 for one side and 45 for the other side, which is 90 for both

3rd find the area of the last two opposite sides:

3 x 4.5 = 13.5 for one side and 13.5 for the other side, so 27 for both.

4th:  now add all those sides 60 + 90 + 27 = 177 inches squared.

8 0
3 years ago
A road is inclined at an angle of 6°. After driving 5,440 feet
Natalija [7]
<h3>Answer:  B)  569 feet</h3>

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why <u>choice B</u> is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

4 0
3 years ago
Helllllppppp me please step by step :D
ra1l [238]
6 over twelve for the first blank
And 6 over twelve is the second blank
Add the top numbers and boom
6 0
3 years ago
Read 2 more answers
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