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Gnom [1K]
3 years ago
8

In Exercises 29–34, graph the function and identify intervals on which

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

im confused what is the wuestion i will aanswer still in the comments

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Part 3: Use the information provided to write the standard form equation of each circle
Ber [7]

Answer:

9. \displaystyle (x - 7)^2 + (y - 15)^2 = 25

8. \displaystyle (x - 1)^2 - (y - 10)^2 = 49

7. \displaystyle (x + 5)^2 + (y + 19)^2 = 9

Step-by-step explanation:

\displaystyle [x - h]^2 - [y - k]^2 = r^2 → Hyperbola\:Equation \\ [x - h]^2 + [y - k]^2 = r^2 → Circle\:Equation \\ [h, k] → Centre

According to the equations in the exercises, in the parentheses, ALL NEGATIVE SIGNS give the OPPOSITE terms of what they REALLY are, so be EXTREMELY CAREFUL with your translations:

9. [4, 11]

+ 3 + 4

_____

[7, 15] → (x - 7)² and (y - 15)²

8. [−2, 8]

+ 3 + 2

_____

[1, 10] → (x - 1)² and (y - 10)²

7. [−8, −14]

+ 3 - 5

______

[−5, −19] → (x + 5)² and (y + 19)²

** NOTISE THAT THE RADII <em>NEVER</em><em> </em>ALTER.

I am joyous to assist you anytime.

4 0
3 years ago
Read 2 more answers
Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to
Lera25 [3.4K]

Answer:

3y+5x=0

Step-by-step explanation:

The question is on equations of parallel lines

Finding the gradient m of line AB

m=change in y coordinates/change in x-co-ordinates

Given points A(-3,0) and B (-6,5)

m=Δy/Δx  Δy=5-0=5      Δx=-6 - -3= -3  ⇒m= - 5/3

Equation

The line will have its gradient equal to - 5/3

m=-5/3  

point is the origin (0,0)

m=Δy/Δx

y-0/x-0 = -5/3

3(y-0)=-5(x-0)

3y-0= -5x+0

3y=-5x

3y+5x=0

6 0
3 years ago
1/10x4/10 please help me
Mandarinka [93]
Combine the fractions by finding a common denominator.
1/25 or 0.04
3 0
3 years ago
I NEED HELP PLEASE ?!!
Fittoniya [83]
The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".

QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²

Therefore the radius equals 9 and the center is (-5,7)

QUESTION 12.
From equation (x + 4)² + y² = 121

The radius equals √121 = 11 and the center is (-4,0)

QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.

Finally equations 14 & 15 aren't linear.

Hope that helps you :)
5 0
4 years ago
Find the height of the triangular base of a prism if the volume is 108 cm 3
Karo-lina-s [1.5K]
You need to tell me the side lengths. to be able to find the height you fool!<span />
7 0
4 years ago
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