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N76 [4]
3 years ago
8

The ordered pair (2, 2) represents ________ in the rectangular coordinate system.

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

c)a point is the answer as rectangular coordinate has 4 point5

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Y-8= - * - 4<br> y=-*<br> 4<br> (3,-5)<br> no solution<br> an infinite number of solutions
muminat

Given:

The system of equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4+8

y=-\dfrac{1}{3}x+4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is 4.

The second equation is

y=-\dfrac{1}{3}x-4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

3 0
3 years ago
In a certain Algebra 2 class of 28 students, 11 of them play basketball and 13 of them play baseball. There are 11 students who
mina [271]
80 + 28 - 13 = 95 + 11 = 106
3 0
3 years ago
Can you all help me pls. Thanks.
Nataliya [291]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5
netineya [11]

9514 1404 393

Answer:

  • 85 ones
  • 70 fives
  • 15 tens
  • 2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

  • 85 ones
  • 70 fives
  • 15 tens
  • 2 fifties
5 0
2 years ago
Read 2 more answers
Step 3: Apply Quantitative Tools
Sonja [21]

Answer: Total old car is $2955.89, new car $1080.94 *for 3yrs

Step-by-step explanation:

Old= [(100/19)($2.36)(52)+$770]*3 = $2955.89

New=[(100/34)($2.36)(52)+20(12)]*3= $1080.94

I keep the old car # 1

8 0
2 years ago
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