1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slamgirl [31]
3 years ago
10

-5

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

a

Step-by-step explanation:

You might be interested in
Write the equation of the circle in general form. Show all of your work
finlep [7]
<h2>1. What are the center and equation of the circle?</h2>

In this exercise we have the general form of the equation of a circle, which is given by:

x^2+y^2+18x+4y+49=0

The ordinary equation of a circle is:

(x-h)^2+(y-k)^2=r^2 \\ \\ Developing \ this \ equation: \\ \\ x^2+y^2-2hk-2ky+h^2+k^2-r^2=0

But this can be written as:

x^2+y^2+Dx+Ey+F=0 \\ \\ D=-2h, \ E=-2k, \ and \ F=h^2+k^2-r^2

From the original equation we know that:

D=18, \ E=4, \ and \ F=49 \\ \\ So: \\ \\ h=-\frac{18}{2}=9, \ k=-\frac{4}{2}=2, \ and \ r=\sqrt{9^2+2^2-49}=6

Finally:

\boxed{CENTER: \ (h,k)=(9,2)} \\ \\ \boxed{RADIUS: \ 6}

<h2>2. Write the equation of the circle in general form.</h2>

We need to write this equation in the form:

x^2+y^2+Dx+Ey+F=0

Since:

D=-2h, \ E=-2k, \ and \ F=h^2+k^2-r^2

Then we need to find the center and radius in order to get D, E and F then. From the graph, it is easy to know that the center is (h,k)=(-3,4) and the radius is 2. Therefore:

D=-2(-3)=6, \ E=-2(4)=-8, \ and \ F=(-3)^2+(4)^2-(2)^2=21

Finally, the general form of the equation is:

\boxed{x^2+y^2+6x-8y+21=0}

<h2>3. Write the equation of the parabola</h2>

A parabola is the set of all points in a plane that are equidistant from  a fixed line called the directrix and a fixed point called the focus that does not lie on the line. Since the directrix is x=2 then this is a horizontal axis. So the standard for of the equation of a parabola that matches this form is:

(y-k)^2=4p(x-h) \ \ p \neq 0

The vertex is (h,k)=(-5,8) so our goal is to find p:

(y-8)^2=4p(x+5)

We can find the absolute value of p as follows:

\left|p\right|=2-(-5)=7

Since the directrix is to the left of the vertex, the parabola opens to the left and hence:

p.

Finally, the equation is:

(y-8)^2=4(-7)(x+5) \\ \\ \boxed{(y-8)^2=-28(x+5)}

8 0
3 years ago
Read 2 more answers
Algebra help!!! giving brainliest and you’ll get 20 points rather than 10!!! (asap please)
photoshop1234 [79]

Answer: D. Graph B is not reflected and is more steep than Graph A.

Explanation: y = 2/5x - 2 is graphed below on Graph A and has been transformed on Graph B. Graph B is not reflected because reflections don't look like that. But the graph is more steep in comparison to graph a.

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

8 0
3 years ago
Read 2 more answers
Graph by finding the intercepts<br> 9x-15y = 45
ololo11 [35]

Answer:

Look at picture

Step-by-step explanation:

<u>X intercept is when y = 0. so...</u>

9x -15*0 = 45

9x = 45

x = 5. so the coordinate is (5,0)

<u>Y intercept is when x = 0. so...</u>

9*0 - 15y = 45

y = -3. so the coordinate is (0,-3)

then you plot these 2 points and draw a line going across them

5 0
3 years ago
10PTS<br> pls help me on this math problem and pls explain how you did it.
erastovalidia [21]

Answer:

  y = 8

Step-by-step explanation:

Line1 with points (4, 1) and (0, 0):

  slope = (y₂ - y₁) / (x₂ - x₁)

            = (0 - 1) / (0 - 4)

            = 1/4

Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.

Line2 with points (1, 0) and (-1, y):

  slope = (y₂ - y₁) / (x₂ - x₁)

            = (y - 0) / (-1 - 1)

            = y / -2

y must equal to 8 for the slope to be -4 as stated above.

4 0
3 years ago
Read 2 more answers
5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.
OLEGan [10]

The correct option is A, which is {(5/7, 12/7)}.

<h2>Given to us,</h2>

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

5x + 2y = 7

<h3>substituting,</h3>

5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}

Now, we have the value of x, substitute the value in equation 2, to get y,

y=x+1\\y=(\frac{5}{7})+1\\

Taking LCM,

y=\frac{5+(1\times 7)}{7}  \\y= \dfrac{12}{7}

Hence, the correct option is A, which is {(5/7, 12/7)}.

To know more visit:

brainly.com/question/2263981

4 0
2 years ago
Other questions:
  • Name the property the equation illustrates. -2.1x1=-2.1
    12·1 answer
  • A rectangular solid has a length of 6.1 m, a width of 2.6 m, and a height of 4 m. Find the volume of the solid. (Round your answ
    5·2 answers
  • Graph each pair of parametric equations.<br><br> x = 3 sin3t<br> y = 3 cos3t
    10·1 answer
  • A school bake sale earned over 25$ from selling cookies which cost 3$ each how many cookies did they sell identify the numbers t
    8·1 answer
  • In the library at Lenape Elementary School, there are
    12·1 answer
  • If x+9.8=14.7 what is the value of 9(x-3.7)
    6·1 answer
  • Find the surface area of the cylinder using pie.
    15·1 answer
  • Timberly spent 3 4/5 hours in Misty spent 2 1/10 hours at gymnastics practice over the weekend. How many more hours did Timberly
    15·1 answer
  • To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin.
    9·1 answer
  • 7. HIKING A hiking trail is 24 miles from start to finish. There are two rest areas
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!