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3 years ago

8

If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function".

1 answer:

Ber [7]3 years ago

3 0

Function...
Domain:9,8,7,-5
Range:1,-3,5,3

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raph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label the center and at least four points on the ci

andreyandreev [35.5K]

Answer:

Equation:

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

The point (0,-5), (0,7), (5,0) and (-7,0)also lie on this circle.

Step-by-step explanation:

We want to find the equation of a circle with a diamterhat hs endpoints at (-3, 4) and (5, -2).

The center of this circle is the midpoint of (-3, 4) and (5, -2).

We use the midpoint formula:

$( \frac{x_1+x_2}{2}, \frac{y_1+y_2,}{2} )$

Plug in the points to get:

$( \frac{ - 3+5}{2}, \frac{ - 2+4}{2} )$

$( \frac{ -2}{2}, \frac{ 2}{2} )$

$( - 1, 1)$

We find the radius of the circle using the center (-1,1) and the point (5,-2) on the circle using the distance formula:

$r = \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} }$

$r = \sqrt{ {(5 - - 1)}^{2} + {( - 2- - 1)}^{2} }$

$r = \sqrt{ {(6)}^{2} + {( - 1)}^{2} }$

$r = \sqrt{ 36+ 1 } = \sqrt{37}$

The equation of the circle is given by:

$(x-h)^2 + (y-k)^2 = {r}^{2}$

Where (h,k)=(-1,1) and r=√37 is the radius

We plug in the values to get:

$(x- - 1)^2 + (y-1)^2 = {( \sqrt{37}) }^{2}$

$(x + 1)^2 + (y - 1)^2 = 37$

We expand to get:

${x}^{2} + 2x + 1 + {y}^{2} - 2y + 1 = 37$

${x}^{2} + {y}^{2} + 2x - 2y +2 - 37= 0$

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

We want to find at least four points on this circle.

We can choose any point for x and solve for y or vice-versa

When y=0,

${x}^{2} + {0}^{2} + 2x - 2(0) - 35= 0$

${x}^{2} +2x - 35= 0$

$(x - 5)(x + 7) = 0$

$x = 5 \: or \: x = - 7$

The point (5,0) and (-7,0) lies on the circle.

When x=0

${0}^{2} + {y}^{2} + 2(0) - 2y - 35= 0$

${y}^{2} - 2y - 35= 0$

$(y - 7)(y + 5) = 0$

$y = 7 \: or \: y = - 5$

The point (0,-5) and (0,7) lie on this circle.

3 0

3 years ago

Math Math Math Math help help help

Alchen [17]

Answer: 5a: 5/8

Step-by-step explanation: sorry, thats the only one i can read `:)

5 0

2 years ago

Read 2 more answers

Please help me im doing a math test and i don’t wanna fail :(

cricket20 [7]

Answer:

The scale factor of dilation is 2.25

Step-by-step explanation:

I just measured the base of Figure A. The base is 4 square units. The base of Figure B is 9 units. 4 x 2.25 = 9.

400 answers yay

6 0

3 years ago

William and Emma go into a burger shop with a total of $40.00 to spend. Burgers cost $4.50 each and soft drinks cost $1.00 each.

Ainat [17]

Answer:

12 items in total

Step-by-step explanation:

40-4.5*8=4
leaving 4 dollars to spend on 4 drinks

5 0

2 years ago

marshall took $36.75 to a fair. Each ticket into the fair costs X dollars. marshall bought 3 tickets. which expression represent

Sholpan [36]

Y = money left over
X = fair ticket

Y = 36.75 - 3x

7 0

3 years ago