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4 years ago

Which statements are true about these lines? Select three options.

2 answers:

8 0

RS is perpendicular to MN and PQ.

We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.

Using the coordinates for M and N, we have:
m=.

Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.

Using the coordinates for points T and V in the slope formula, we have
m=.

This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.

Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.

Kay [80]4 years ago

3 0

Answer:

A) The slope of line MN is Two-thirds.

C) The slope of line RS is Negative three-halves.

E) Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

i did the work

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Don Chather bought a new Dell computer for $1,995. This included a 6% sales tax. What is the amount of sales tax and the selling

lubasha [3.4K]

1,995-0.06=$1994.94, is the total of the computer without sales tax.

6%=0.06

I hope that this helps you ^_^

8 0

3 years ago

The population of rabbits in an area is modeled by the growth equation p(t)=8e^0.26t, where P is in thousands and T is in years.

Elena-2011 [213]

Answer:

4.4

years corresponding to 4 years and 5 months (more or less)

Step-by-step explanation:

Let us set

we get:

0.26

rearrange:

0.26

take the natural log of both sides:

[

0.26

]

[

]

simplify:

0.26

[

]

0.26

[

]

4.38

≈

4.4

years corresponding to 4 years and 5 months (more or less)

5 0

4 years ago

Evaluate the expression 2.5 with an exponent of 2

love history [14]

The answer is 6.25

Explained: since 2.5 has an exponent of 2, you multiply 2.5 by itself, and get 6.25

2.5 x 2.5 = 6.25

Hope This Helps

6 0

3 years ago

Which steps should be used to graph the equation below? y-4=1/3(x+2)

juin [17]

-> First, we want to put it into more of a slope-intercept form so we can graph.

y - 4 = 1/3 (x + 2)

y = 1/3 (x + 2) + 4

y = 1/3x + 2/3 + 4

y = 1/3x + 14/3

-> Next, we will plot the point (0, 14/3) because it is the y-intercept of our equation

-> Last, we will move up one and to the right three, following the pattern of "rise over run" with our slope of 1/3

[] The finished graph is attached

[] I have also graphed the original equation to show that they overlap, showing that our simplification works

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

3 0

2 years ago

Harlp needed ok thanks dudes

Ivanshal [37]

Solution:

A few definitions...

Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
Irrational number - All the real numbers which are not rational numbers.

Option A - Rational or Irrational?

1/2 + 1/3

Since both are known as fractions, they are rational numbers.

Option B - Rational or Irrational?

√2 + 5/2

√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.

Option C - Rational or Irrational?

1/√4 + 7/2
=> 1/2 + 7/2
=> 8/2 = 4

Since this is an integer, this is rational.

Option D - Rational or Irrational?

√9 + √4
=> √3 x 3 + √2 x 2
=> 3 + 2 = 5

Since this is an integer, this is rational.

In conclusion...

Option B is correct.

8 0

2 years ago