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Digiron [165]
3 years ago
8

Which is the graph of the equation y-1=2/3(x-3)? PLEASE ANSWER ASAP

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

Graph #1

Step-by-step explanation:

Compare your

y - 1 = (2/3)(x - 3) to

y - k = m(x - h).  We see that k = 1 and h = 3.

Thus, (1, 3) is a point on the graph.  This matches Graph #1.  

Note: Graph #1 and Graph #3 appear to be the same.  Why?

strojnjashka [21]3 years ago
7 0
<h2>Answer:</h2>

The graph of the equation is:

                          Graph 1

<h2>Step-by-step explanation:</h2>

The equation is given by:

    y-1=\dfrac{2}{3}\times (x-3)

Now, we will see the point through which the graph passes through.

when x=3 we have:

y-1=\dfrac{2}{3}\times (3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times 0\\\\i.e.\\\\y-1=0\\\\i.e.\\\\y=1

i.e. the graph passes through (3,1)

and also when x= -3 we have:

y-1=\dfrac{2}{3}\times (-3-3)\\\\i.e.\\\\y-1=\dfrac{2}{3}\times -6\\\\i.e.\\\\y-1=2\times -2\\\\i.e.\\\\y-1=-4\\\\i.e.\\\\y=-4+1\\\\i.e.\\\\y=-3

i.e. the graph passes through (-3,-3)

The graph which satisfies these two points is: Graph 1

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Graph the circle x^2+y^2+2x+4y-44=0
Natasha_Volkova [10]

Answer:

See explanation

Step-by-step explanation:

First, convert this to standard form. By completing the square, you can do the following:

(x^2+2x+1)-1+(y^2+4y+4)-4-44=0

(x+1)^2+(y+2)^2=49

This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!

6 0
3 years ago
Determine whether each equation below does or does not represent a proportional relationship. support your answer using either a
Triss [41]

Answer:

  • As the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship.
  • As the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship.

Step-by-step explanation:

                                        <u><em>Solving equation A: y = x </em></u>

Let us consider the given equation A:

                                                      y = x

  • Putting x = 1 in y = x

y = x

y = 1    ∵ x = 1

Hence, (1, 1) is the ordered pair of  y = x

  • Putting x = 2 in y = x

y = x

y = 2    ∵ x = 2

Hence, (2, 2) is the ordered pair of  y = x

  • Putting x = 3 in y = x

y = x

y = 3    ∵ x = 3

Hence, (3, 3) is the ordered pair of  y = x

  • Putting x = 4 in y = x

y = x

y = 4    ∵ x = 4

Hence, (4, 4) is the ordered pair of  y = x

  • Putting x = 5 in y = x

y = x

y = 5    ∵ x = 5

Hence, (5, 5) is the ordered pair of y = x

Lets us consider all the ordered pairs i.e. (1, 1), (2, 2), (3, 3), (4, 4) and (5, 5) to make a table for y = x.

<em>y                 x</em>

1                  1

2                 2

3                 3

4                 4

5                 5

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 1), the ratio will be y/x ⇒ 1/1 = 1
  • For (2, 2), the ratio will be y/x ⇒ 2/2 = 1
  • For (3, 3), the ratio will be y/x ⇒ 3/3 = 1
  • For (4, 4), the ratio will be y/x ⇒ 4/4 = 1
  • For (5, 5), the ratio will be y/x ⇒ 5/5 = 1

Hence, the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship. Please also check the graph in attached<em> figure a.</em>

                                          <u><em>Solving equation A: y = x +2</em></u>

Let us consider the given equation A:

                                                         y = x + 2    

  • Putting x = 1 in y = x + 2

y = x + 2

y = 1 + 2 ⇒ 3  ∵ x = 1

Hence, (1, 3) is the ordered pair of y = x + 2

  • Putting x = 2 in y = x + 2

y = x + 2

y = 2 +2 ⇒ 4   ∵ x = 2

Hence, (2, 4) is the ordered pair of y = x + 2

  • Putting x = 3 in y = x + 2

y = x + 2

y = 3 + 2 ⇒ 5    ∵ x = 3

Hence, (3, 5) is the ordered pair of  y = x + 2

  • Putting x = 4 in y = x + 2  

y = x + 2  

y = 4 + 2 ⇒ 6   ∵ x = 4

Hence, (4, 6) is the ordered pair of  y = x + 2

  • Putting x = 5 in y = x + 2

y = x + 2

y = 5 +2 ⇒ 7    ∵ x = 5

Hence, (5, 7) is the ordered pair of y = x + 2

Lets us consider all the ordered pairs i.e. (1, 3), (2, 4), (3, 5), (4, 6) and (5, 7) to make a table for y = x + 2.

<em>y                 x + 2</em>

1                  3

2                 4

3                 5

4                 6

5                 7

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 3), the ratio will be y/x ⇒ 3/1 = 3
  • For (2, 4), the ratio will be y/x ⇒ 4/2 = 2
  • For (3, 5), the ratio will be y/x ⇒ 5/3 = 5/3
  • For (4, 6), the ratio will be y/x ⇒ 6/4 = 3/2
  • For (5, 7), the ratio will be y/x ⇒ 7/5 = 7/5

Hence, the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship. Please also check the graph in attached<em> figure a.</em>

<em>Keywords: equation, graph</em>

<em> Learn more equation and graphs from brainly.com/question/12767017</em>

<em> #learnwithBrainly</em>

6 0
3 years ago
1. Suzie had d DVDs. Her mother bought her 39 more DVDs.
Fantom [35]

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

8 0
3 years ago
Please help
slava [35]

ANSWER i think its c Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the va
Andrew [12]

Answer:

a = 3.7464

b = 16

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in a * 10^b

From the question, we have:

People = 4.46 * 10^9

Breath = 8.4 * 10^6 breath/person in a year

The number of breath is calculated by:

Overall = People * Breath

So, we have:

Overall = 4.46 * 10^9 * 8.4 * 10^6

Reorder

Overall = 4.46  * 8.4* 10^9 * 10^6

Overall = 37.464* 10^{9+6}

Overall = 37.464* 10^{15}

Using scientific notation a * 10^b;

The value (a) must be in the following interval 0 \le a \le 1

So, we have:

Overall = 3.7464 * 10 * 10^{15

Overall = 3.7464 * 10^{16

By comparing the above with: a * 10^b

a = 3.7464

b = 16

7 0
3 years ago
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