What adds to negative 8 and multipys to 16

Natasha2012 [34]

As we know that the standard equation of circle is ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ , where r is the radius of circle and centre at (h,k) 

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

${:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}$

${:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}$

${:\implies \quad \sf 9+16=r^{2}}$

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5 

Now , putting values in our standard equation ;

${:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}$

This is the required equation of Circle

Refer to the attachment as well !

8 0

2 years ago

Susie’s Sweet Shop sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center

olganol [36]

Let us make a list of all the details we have

We are given

The cost of each solid chocolate truffle = s

The cost of each cream centre chocolate truffle = c

The cos to each chocolate truffle with nuts = n

The first type of sweet box that contains 5 each of the three types of chocolate truffle costs $41.25

That is 5s+5c+5n = 41.25 (cost of each type of truffle multiplied by their respective costs and all added together)

The second type of sweet box that contains 10 solid chocolate trufles, 5 cream centre truffles and 10 chocolate truffles with nuts cost $68.75

That is 10s+5c+10n = $68.75

The third type of sweet box that contains 24 truffles evenly divided that is 12 each of solid chocolate truffle and chocolate truffle with nuts cost $66.00

That is 12s+12n=$66.00

Hence option C is the right set of equations that will help us solve the values of each chocolate truffle.

6 0

3 years ago

The value of x is approximately:

solong [7]

Answer:

19.80

Step-by-step explanation:

tan 22= 8/x

tan 22 = 8/x

x = 8/tan 22

x = 19.80

7 0

3 years ago

helppp asap :)) alyssa wants to play the game. choose the statement below that is correct in all aspects!

mars1129 [50]

help me plssssssssssss

6 0

3 years ago

Read 2 more answers

The results of the math exam showed that three eighths of the students made an “A” and one third of them made a “B”. In total, h

grigory [225]

Answer:

b the answer is b

Step-by-step explanation:

idk what they mean but i got an 100 and i had this questin so a

3 0

4 years ago