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lions [1.4K]
3 years ago
5

What is the slope of a line that is perpendicular to the line whose equation is 3x+2y=6 3 x + 2 y = 6 ?

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

The slope of the line perpendicular to the given line is 2/3

Step-by-step explanation:

step 1

Find the slope of the given line

we have

3x+2y=6

isolate the variable y

2y=-3x+6

y=-(3/2)x+3

The slope of the given line is m=-(3/2)

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)

so

m1*m2=-1

we have

m1=-3/2

so

m2=2/3

therefore

The slope of the line perpendicular to the given line is 2/3

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Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is
Dovator [93]

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

n_1 =6miles

r_1 = 2mph

Casey

c_1 = 8miles

r_2 =1mph

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At n_1 =6miles and c_1 = 8miles

The distance between them is:

d_1 = \sqrt{n_1^2 + c_1^2}

d_1 = \sqrt{6^2 + 8^2}

d_1 = \sqrt{100}

d_1 = 10miles

After 1 hour, their new position is:

New = Old + Rate * Time

n_2 = n_1 + r_1 * 1

n_2 = 6 + 2 * 1 = 8

And:

c_2 = c_1 + r_2 * 1

c_2 = 8 + 1 * 1 = 9

So, the distance between them is now:

d_2 = \sqrt{n_2^2 + c_2^2}

d_2 = \sqrt{8^2 + 9^2}

d_2 = \sqrt{145}

d_2 = 12.04

The rate of change is:

\triangle d = d_2 -d_1

\triangle d = 12.04 -10

\triangle d = 2.04

5 0
3 years ago
Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

brainly.com/question/7888063

#SPJ1

7 0
2 years ago
How many hundred thousands equal 80,000 tens
kumpel [21]
The answer is 8 hoped that help always fell free to comment me if you have any more questions and always good luck
3 0
2 years ago
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NO LINKS I WILL REPORT!!! But help PLSS It's possible to build a triangle with side lengths of 5, 7, and 11.
strojnjashka [21]

Answer:

yes it is possible

I hope it's helps you

8 0
3 years ago
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I just wanna make sure my answer is right can anyone confirmmm
valina [46]
You would get it wrong cause you haven’t answered anything
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