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Westkost [7]
3 years ago
8

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:

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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
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