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Evgen [1.6K]
4 years ago
13

Refer to this question below Thank You.

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
6 0
Let's solve this problem using substitution.  Given that x-y=8, x = 8 + y.
(Then x^2 = 64 + 16y + y^2)
This other equation is (x-2)^2 + (y-1)^2 = 25.

Easier to substitute 8 + y for x in (x-2)^2:

(8 + y - 2)^2 + (y-1)^2 = 25

(6 + y)^2 + (y-1)^2 = 25
36 + 12y + y^2 + y^2 - 2y + 1 = 25

Re-writing this in descending powers of y:

2y^2 + 10y + 36 + 1 = 25

Then 2y^2 + 10y - 12 = 0

Reduce by division by 2:  y^2 + 5y - 6 = 0   =   (y+3)(y+2) = 0

Then y=-3 and y=-2.       From each of these we get x:  x = 8 + y

So x = 8 - 3 = 5 and x = 8 - 2 = 6.       There are common solutions.  

Try (5, -3) and (6, -2).  Do these points satisfy both of the given equations?  If they do, you've shown that we have common solutions.
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Carlos went to gas station A and paid $54 for 25 gallons. Sasha went to gas
RideAnS [48]

Answer: Sasha

Step-by-step explanation:

carlos- 54 divided by 25 equals 2.25 dollars for each gallon

sasha- 31.25 divided by 15 equals 2.083333(3 repeats)

They are both really close on price, but sasha's is cheaper

5 0
3 years ago
A right cylinder has a radius of 3 and a height of 12. What is its surface area?
shepuryov [24]

Answer:

Surface Area = 283

Step-by-step explanation:

Radius = 3

Height = 12

Formula for suface area is SA= 2πrh+2πr^2

let "r" be for radius

let "h" be for height

SA=2*π*3*12+2*π*3^2

SA=282.74

round to the nearest ones spot and that will make the surface area = 283

8 0
4 years ago
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs
maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

  =7.5 \ cabs/hr

The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

⇒                  =0.171

6 0
3 years ago
1. Which of the following
Harrizon [31]

(-19,7) (4, 15) hshw wjwhw

8 0
3 years ago
I need this ASAP i need to make 5−4+7x+1= (blank)x + (blank) into a infinite,no and one solution
katrin2010 [14]

Answer:

7x + 2

Step-by-step explanation:

5 - 4 + 7x + 1

= 1 + 7x + 1

= 7x + 2

hope this helped u bud :)

5 0
3 years ago
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