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Evgen [1.6K]
3 years ago
13

Refer to this question below Thank You.

Mathematics
1 answer:
Liono4ka [1.6K]3 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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Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun
adelina 88 [10]

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

so 320 is the mileage for the first car. Repeat the steps for the silver car!

(14/14)*10=10

so then: (504/14)*10= 360.

So which is bigger, 320 or 360?

360 is bigger, meaning it has better gas mileage.

5 0
2 years ago
in 10 minutes a heart beats 700 time how many minutes will a heart beat 140 times? At what rate can a heart beat?​
posledela

Answer:

A heart will beat 140 times in 2 minutes

Step-by-step explanation:

700 ÷ 10 = 70

140 ÷ 70 = 2

5 0
3 years ago
I
BlackZzzverrR [31]

Answer: (1) mean = 9.46; standard deviation = 3.74

Step-by-step explanation:

3 0
2 years ago
Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many who
zlopas [31]
You have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
there for there are 4 whole 3/16 sections of the 11/12 board
3 0
3 years ago
Read 2 more answers
Flying fish use their pectoral fins like airplane wings to glide through the air. Suppose a flying fish reaches a maximum height
GrogVix [38]

The flight is in the shape of a parabola with a vertex 5 feet above the water and  1/2 * 33 = 16.5 feet horizontally from the point of leaving the water

y = a(x - h)^2 + k

where  (h,k)  is the vertex of the  parabola and here it is (5 , 16.5), so we have the function:-

y = a(x - 16.5)^2 + 5

when x = 0 y = 0  so

0 = a(-16.5)^2 + 5

which gives a = -0.018365

So our function for the flight path is

y = -0.018365(x - 16.5)^2 + 5     Answer



7 0
3 years ago
Read 2 more answers
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