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Tom [10]
2 years ago
12

segment A B is parallel to segment C D and the slope of segment A B is -3 over 5. What is the slope of segment C D? -3 over 5 5

over 3 3 over 5 -5 over 3
Mathematics
1 answer:
serg [7]2 years ago
3 0

parallel lines have, the same exact slope, we know AB || CD, and if AB has a slope of -3/5, so CD's slope is the same.

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Which system of inequalities is represented by the graph?
alexgriva [62]

Answer:

\left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.

Step-by-step explanation:

The diagram shows shaded region which boundary is bounded with two lines.

<u>Equation of the 1st line:</u>

This line passes through the points (-6,0) and (0,-6), so its equation is

\dfrac{x-(-6)}{0-(-6)}=\dfrac{y-0}{-6-0}\\ \\\dfrac{x+6}{6}=\dfrac{y}{-6}\\ \\y=-x-6

<u>Equation of the 2nd line:</u>

This line passes through the points (-2,0) and (0,4), so its equation is

\dfrac{x-(-2)}{0-(-2)}=\dfrac{y-0}{4-0}\\ \\\dfrac{x+2}{2}=\dfrac{y}{4}\\ \\y=2x+4

The origin belongs to the shaded region, so it must satisfy both inequalities, so

-0-6=-6\le 0\Rightarrow correct inequality is -x-6\le y

2\cdot 0+4=4\ge 0\Rightarrow correct inequality is 2x+4\ge y

Note that signsare with notion "or equal to" because lines are solid.

Answer:

\left\{\begin{array}{l}-x-6\le y\\ \\2x+4\ge y\end{array}\right.\Rightarrow \left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.

7 0
3 years ago
Please answer the questions.
Paladinen [302]

Answers in order:

7 11 5 3 40 20 7 1 2 84 12 35

6 0
2 years ago
−2 1/4=r−4/5<br><br> What is r?
dmitriy555 [2]

Answer:

r = -29/20 or r = -1.45

Step-by-step explanation:

I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:

-2 1/4 = r - 4/5

-9/4 = r - 4/5

-9/4 (20) = r (20) - 4/5 (20)

-45 = 20r - 16

20r = -29

r = -29/20

r = -1.45

Check:

-2 1/4 = r - 4/5

-9/4 = r - 4/5

-2.25 = r - 0.8

-2.25 = -1.45 - 0.8

-2.25 = -2.25

-9/4 = -9/4

4 0
3 years ago
What is the expression?
Klio2033 [76]

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

F=1.8(45)+32

F=81+32

F=113

5 0
3 years ago
Read 2 more answers
An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.
just olya [345]
= 100 ( 1 + 3/100 ) ^ 25
= 209.377793
= 209.4
8 0
2 years ago
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