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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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Kareem lives 4/10 of a mile from the mall. Write twp equivalent fractions that show what fraction of a mile Kareem lives from th
Vadim26 [7]

Answer:


Step-by-step explanation:

4/10 can be written in several different ways:

2/5, 40/100 (same as 0.4).

7 0
3 years ago
Find a quadratic polynomial whose sum and and product is -7 and -2
vampirchik [111]

Answer:

<h2>x²+7x-2 = 0</h2>

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x²-(sum of root) x + (product of roots) = 0

x² - (a+b)x + ab = 0 ... 1

Given the sum of roots a+b = -7

Product of roots ab = -2

Substituting this values in equation 1 above wil give;

x²-(-7)x+(-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0

3 0
3 years ago
Which of the following are the roots of the polynomial functions?
Anit [1.1K]

Answer:

A, B

Step-by-step explanation:

Solve by factoring.

8 0
3 years ago
Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
LuckyWell [14K]

Answer:

\frac{9}{24}

Step-by-step explanation:

Add all the sweets together ( that will be your denominator )

5+4+8+4+3= 24

The probability she will pick and yellow and orange ( add those numbers together)

Yellow + orange = Numerator

5+4=9

How you answer should be lay out :

\frac{Orange+ yellow sweets}{Total amount of sweets}

7 0
3 years ago
Read 2 more answers
The numerator of a rational number 8 ​
exis [7]

Answer:

We conclude that the numerator of a rational number 8 will be 8.

Step-by-step explanation:

We know that any number which can be written in the form p/q is called a rational number.

i.e. p/q

Where p and q are integers and q≠0.

Here:

  • The numerator is p
  • The denominator is q

Given the number

8

As number '8' can be written in the form p/q, so it is a rational number.

i.e. 8/1

Thus,

  • The numerator = 8
  • The denominator = 1

Therefore, we conclude that the numerator of a rational number 8 will be 8.

8 0
3 years ago
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