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3 years ago

The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

Quadrant 2 or 4. All points in quadrant 1 are both positive, all points in quadrant 3 are both negative.

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Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10

jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

$y = - x + 5$

$y = \frac{1}{4}x + 10$

Let us equate both equations and solve for x.

$- x + 5 = \frac{1}{4}x + 10$

$- 4x + 20 = x + 40$

$20 - 40 =x + 4x$

$- 20 = 5x$

$x = - 4$

$y = - - 4 + 5 = 9$

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0

3 years ago

Draw and identify the coordinates of the image of the figure after a 180° rotation

sladkih [1.3K]

Answer:

Step-by-step explanation:

5 0

3 years ago

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Solve the right triangle. Round decimal answers to the nearest tenth.

dem82 [27]

Step-by-step explanation:

RS = 15/ tan57° = 9.7

RT = 15/sin57° = 17.9

3 0

3 years ago

What is 3/6 plus 1/3

aksik [14]

Answer:

5/6

Step-by-step explanation:

3/6 + 1/3 = 3/6 + 2/6 = 5/6

6 0

3 years ago

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Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

2 years ago

Read 2 more answers