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Nataly [62]
3 years ago
5

Quadrilateral WXYZ is on a coordinate plane. Segment YZ is on the line x+y=7, and segment XW is on the line x+y=3. Which stateme

nt proves how segments YZ and XW are related?
A. They have slopes that are opposite reciprocals of 1 and -1 and are therefore perpendicular
B. They have the same slope of 1 and are therefore parallel
C. They have slopes that are opposite reciprocals of 0 and undefined and are therefore perpendicular
D. They have the same slope of -1 and are therefore parallel
Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

  D. They have the same slope of -1 and are therefore parallel

Step-by-step explanation:

In the linear equation ...

   ax + by = c

the slope of the line is m = -a/b. For the given equations, the slopes are ...

  x+y = 7   ⇒   m = -1/1 = -1

  x+y = 3   ⇒   m = -1/1 = -1

The slopes are the same, and both slopes are -1, so the lines are parallel.

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What is the period of y=3cot(4x−3π)
Stells [14]
Hello!

hint: we can rewrite your function as below:

<span>3/<span>tan<span>(<span>4x−3π</span>) = </span></span></span>3(1+tan4xtan3π)/tan4x−tan3π = 

=<span>3/<span>tan<span>(<span>4x</span>) = </span></span></span>3cot<span>(<span>4x</span><span>)

</span></span>now, since the period P of cotangent function is pi, then the period of cot(4x), which is the period of our original function, is such that:

<span>"4P=π"


Hope this Helps! Have A Wonderful Day! :)</span>
4 0
3 years ago
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!
CaHeK987 [17]

Answer:

17.3

Step-by-step explanation:

area of paralellogram=base x height

height=sin(60) x 4= 2\sqrt{3}

area = 5 x 2\sqrt{3}

        = 10\sqrt{3} = 17.3(to nearest tenth)

5 0
2 years ago
An office supply store sells 12 rolls of tape for $29.88. At that rate, which proportion could be used to solve for c, the cost
kobusy [5.1K]

Answer:

$89.64

Step-by-step explanation:

First, you want to find your unit rate.

To do that, simply just divide what you know (cost/amount):

29.88/12

= 2.49

This means that one role of tape costs $2.49.

Now that we know that, you can simply just solve for value "c":

c = 2.49(36)

c = 89.64

8 0
3 years ago
What is the solution to the equation? ^5√x+7 = -2 (Please help!)
Masja [62]

Step-by-step explanation:

Here we will, Provide index power 5 on both the sides, so that we can cancel out the 5th power root in the L.H.S

so we get as,

==> x+7 = (-2)^5

==> x+7 = -32

==> x = -32-7

==> x = -39

hence, x = -39

Option A.) is correct.

7 0
2 years ago
A number y minus 12 is no more than −32.
Semmy [17]
Y - 12 < -32 is the answer
3 0
3 years ago
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