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Daniel [21]
3 years ago
12

Which graph represents the solution of the system {x^2+y^2=4 X-y=1?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

See attached picture.

Step-by-step explanation:

Graph the line using a y-intercept -1 and slope 1.

Graph the equation with vertex (0,0) and radius 2.

Leno4ka [110]3 years ago
4 0

Answer with explanation:

The two system of equation , one of which is a circle and another is line

 x²+y²=4

x -y=1

has either no intersection point, that is the  line and circle will not intersect.

Has one point of intersection, which will be tangent to the circle.

Third , the line will cut the circle at two points,that is there are two points of intersection of line and circle.

Plotting the graph of circle and line , found that line will cut circle at two distinct points.

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20 different comic books will be distributed to five kids. (a) How many ways are there to distribute the comic books if there ar
sveta [45]

Answer:

a) 21684

b) 15504

Step-by-step explanation:

a) Distribute the comic books as follows

only to 1 kid          one way   but we have five kids then  5

to two kids                         C₂₀,₂  =  20! /2! ( 20-2)!    =  20*19 /2  =   190

To three   C₂₀,₃   =  20! /3! ( 20 - 3)!       =  20*19*18 /6               =  1140

To four     C₂₀,₄    =   20 ! / 4! ( 20 - 4 )!   = 20*19*18*17 /4*3*2   =  4845

To five     C₂₀,₅    =    20!  /5! (20 - 5 )!    = 20*19*18*17*16/5*4*3*2*1

C₂₀,₅    =  15504

Then total ways of distribution are:

5 + 190 + 1140 + 4845 + 15504   =  21684

b)   C₂₀,₅  we know from a    that is equal to  15504

7 0
3 years ago
I really need help on this question! Thank you!
KIM [24]

Answer:

A

Step-by-step explanation:

We know the following:

OE=5\\\\FG=4\\\\EF=8\\\\

so the segment EF is equal to

EF=EG+GO+OF\\\\

and here we can do a trick :)

EF=(EG+GO)+GO+(OF+OG)-2GO\\\\

you see it's the same

EF=EO-GO+FG\\\\

now we plug the values given

8=5-GO+4\\\\8=9-GO\\\\GO=9-8\\\\GO=1

so it's option A

5 0
3 years ago
Read 2 more answers
Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change. (not all of
Aleksandr [31]

Answer:

to a function is increasing we have to find the slope of the function

the higher the slope the faster the growth

Step-by-step explanation:

  • slope = 5/2. which is 2.5
  • slope 2 = -1/2 which is -0.5
  • slope 3 = 3/2 which is 1.5
  • slope 4 = 1/2 which is 0.5
  • slope 5= 4/3 which is 1.33
  • slope 6 = 3/4 which is 0.75

so the function in increasing order

y= -1/2x + 1/2

y= 1/2x - 2

y=3/4x - 10

y=4/3x -7/3

y=3/2x-11/2

y=5/2x +10

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3 years ago
Sam counted out loud by 6s . Jorge counted out loud by 8s. What are the first three numbers both Sam and Jorge said
mart [117]
6, 12, 18, 24.

8, 16, 24.

24 is your answer. Hoped I helped!
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