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2 years ago

Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.

2 answers:

5 0

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.

Reil [10]2 years ago

3 0

Answer:

A C G

Step-by-step explanation:

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The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 69e−0.0174t + 79. To

Papessa [141]

Answer: T(90) = 93.413 F

Step-by-step explanation:

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation

T(t) = 69e−0.0174t + 79.

T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.

We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes

1f 1 hour = 60 minutes

Then 1.5 hours = 1.5 × 60 = 90 minutes.

We would substitute t = 90 minutes into the equation, it becomes

T(90) = 69e−0.0174×90 + 79

T(90) = 69e−1.566 + 79

T(90) = 14.413 + 79

T(90) = 93.413 F

5 0

2 years ago

3^-1 ___ 1/4 = < > answer thanks

dybincka [34]

3⁻¹ is greater than 1/4

Step-by-step explanation:

3⁻¹ is nothing but the inverse of 3 .

So it can be written as 1/3.

Value of 1/3 can be found by dividing 1 by 3 to be 0.333...

Value of 1/4 can be found by dividing 1 by 4 to be 0.25

So 0.333 > 0.25

1/3 > 1/4

∴ 3⁻¹ > 1/4

6 0

3 years ago

How would you write the equation ????

Elden [556K]

If f(x)=e^x-1 +5 and g(x) is a transformation or, the same thing just moved, and its y-intercept is -3 then its equation would be:

D) g(x)=e^x-1 -3

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2 years ago

Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all

Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0

2 years ago

Read 2 more answers

Consider a company that selects employees for random drug tests. The company uses a computer to select randomly employee numbers

andrew11 [14]

This problem sounds so ridiculous lol

All joking aside, first let's look at the multiples of 1000.

1000, 2000, 3000, 4000, 5000, 6000

That makes 6. Complete the following equation, and you have your answer.

6 / 6296 = ?

0.000953 if you round.

Hope it helps. XD

8 0

3 years ago