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mrs_skeptik [129]
3 years ago
5

Which of the following could be the graph of 3x + 4y = 12?​

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)

Step-by-step explanation:

Hello!

To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b

To get our equation to look like that we have to get y by itself

3x + 4y = 12

Subtract 3x from both sides

4y = -3x + 12

Divide both sides by 4

y =- \frac{3}{4}x  + 3

We now know the y-intercept is (0, 3)

Now we follow the slope to give us more points

More points are (4, 0), (8, -3), and (-4, 6)

The answer would be a graph that goes through those points.

Hope this helps!

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B. is the correct answer love
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3 years ago
Write the equation x² + 6x + y² – 8y = 19 in standard form.
kirza4 [7]

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
8 0
2 years ago
Read 2 more answers
WILL MARK BRIANLIEST!
gayaneshka [121]

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

7 0
3 years ago
4/7<br> of a number is 36<br> What is the number?
katrin [286]

\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}

7 0
1 year ago
Read 2 more answers
Now heres the tricky part​
loris [4]

13. Answer: n ≥ 108

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

18 ≤ n ÷ 6

<u>×6 </u>  <u>    ×6 </u>

108 ≤ n       →   n ≥ 108

Note: The line under the inequality symbol represents a closed dot

Graph: 108 ·---------------→

************************************************************************************

14. Answer: x > -4

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

 -3x <  12

<u>÷(-3) </u>  <u>÷(-3) </u>

    x > -4      <em>Flip the inequality sign when × or ÷ by a negative </em>

Note: No line under the inequality symbol represents an open dot

Graph: -4 o-----------→

4 0
3 years ago
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