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irina [24]
3 years ago
5

Write the equation in standard form of a circle with center (-7,2), tangent to the y-axis.

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

(x+7)^{2}+ (y-2)^{2}=49

Step-by-step explanation:

It is given that circle is a tangent to y axis, which tells us that the distance between the centre point and y axis is the radius of the triangle.

Formula for equation of circle with centre (x1,y1) and radius r is

(x-x1)^{2}+ (y-y1)^{2}=r^{2}

In the given case distance between the centre and y axis is 7 units so radius would be 7 and the centre point is (-7,2),

the equation of circle is ,

(x+7)^{2}+ (y-2)^{2}=7^{2}

(x+7)^{2}+ (y-2)^{2}=49

Hence the abow equation is the circle equation.

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Please include work!
geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

5 0
3 years ago
CAN SOMEONE PLZ HELP ME
yaroslaw [1]

Answer:

The expression for the total cost of the visit to dentist is T = 50 + 100n .

Step-by-step explanation:

As given

The price of a visit to the dentist is $50.

If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist n cavities .

Let us assume that the total cost of the visit to dentist be T.

Than the expression becomes

T = 50 + 100n

Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .

3 0
3 years ago
An amusement park charges $9.00 for admission $4.00 per ride. Write an equation that gives the cost in dollars as a function of
Gnoma [55]

T = total cost

X= number of rides

T=4.00x+9.00

3 0
3 years ago
Mr. Ramirez orders drumsticks and sheet music for a group of students. One pair of drumsticks costs $1. 50, and the sheet music
diamong [38]

Answer:

Step-by-step explanation:

It expresses how much money he had to pay in total for the sheet music and drumsticks altogether.

Have an amazing day!

Please mark brainliest!

8 0
2 years ago
What is 16+x=12 and -3x=15
horrorfan [7]
-4 and -5
because to get 16 to 12 you have to subtract 4 but it wants you to add so you put a negative sign infront of it.

and a negative multiply by a negative equals a positive so -3×-5=15
5 0
3 years ago
Read 2 more answers
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