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Tamiku [17]
3 years ago
13

Q(9,10) . R(-5,2) . S(-8,-2) . T (-1,2) . Parallel or Perpendicular

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

Perpendicular

Step-by-step explanation:

Put all the points on a graph.

Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.

On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.

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Which pair shows equivalent expressions?
DENIUS [597]

2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to \frac{2}{5}x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4.

2)  (two-fifths x + 4) = 2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2\frac{2}{5}x + 1

2) Four-fifths x + 4 = \frac{4}{5}x + 4

3) Four-fifths x + 2 = \frac{4}{5}x + 2

4) Two and two-fifths x + 8 = 2\frac{2}{5}x + 8.

Out of the various LHS and RHS values, the 1^{st} LHS value and 2^{nd} RHS value is the same. So option 2 is the answer.

7 0
3 years ago
Read 2 more answers
Doors for the small cabinets are 13.5 inches long. Doors for the large cabinets are 2.5 times as long as the doors for the small
LUCKY_DIMON [66]

Answer:

make 3

Step-by-step explanation:

13.5x2.5=33.75in

33.75in=2.8125ft

2.9ft(or so)x3=8.7

You can only make 3 with about 1.5 ft left over. cause 33.75x3=101.25, which is 8.4375ft, or 8.5 ft.

5 0
3 years ago
Consecutive integers are whole numbers
boyakko [2]

Answer:

1st:17

2nd:18

3rd:19

duvide 54 by 3

gives middle number

6 0
3 years ago
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How many solutions does this system have?
gtnhenbr [62]

Answer:

There will be an infinite number of solutions.

Step-by-step explanation:

From the given system of equations, we have to find the solution.

The equations are

y = \frac{3}{4}x - 5 ........... (1) and  

- 3x + 4y = - 20 .......... (2)

Now, simplifying the equation (1) we get  

4y = 3x - 20

⇒ - 3x + 4y = - 20

which is nothing but the equation (2).

Therefore, the system of equations (1) and (2) are the same straight line.

Hence, there will be an infinite number of solutions. (Answer)

5 0
3 years ago
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How do you find the area of the shaded region
Amiraneli [1.4K]

well, first off, let's notice that we have a trapezoid with a rectangle inside it, so the rectangle is really "using up" area that the trapezoid already has.

now, if we just get the area of the trapezoid, and then the area of the rectangle alone, and then subtract that area of the rectangle, the rectangle will in effect be making a hole inside the trapezoid's area, and what's leftover, is the shaded section, that part the hole is not touching.

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h&=height\\ a,b&=\stackrel{parallel~sides}{bases} \\\cline{1-2} h&=8\\ a&=16\\ b&=8 \end{cases}\implies A=\cfrac{8(16+8)}{2}\implies A=96 \\\\\\ \stackrel{\textit{area of the rectangle}}{(5\cdot 3)\implies 15}~\hfill \stackrel{~\hfill \textit{shaded area}}{\stackrel{\textit{trapezoid}}{96}~~ - ~~\stackrel{\textit{rectangle}}{15}~~ = ~~81}

3 0
3 years ago
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