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3 years ago

Determine whether the graphs of y =-9x+12 and y=1/3x-12 are parallel, perpendicular, coincident

Mathematics

1 answer:

notka56 [123]3 years ago

8 0

1) graphs y = -9x + 12 and y = 1/3x - 12 are not coincident.

2) The graphs are not parallel, because the angular coefficients are not equal

3) The condition of perpendicularity:

$k_1\cdot k_2=-1$ , where $k_1=-9;~~~ k_2=\frac{1}{3}$

$(-9)\cdot\frac{1}{3}=-3\ne -1$ - not perpendicular

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3 years ago

The quotient of a number y and 22

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4 years ago

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MrRissso [65]

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Step-by-step explanation:

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3 years ago

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Determine if the conclusion of salad. Give a thorough explanation of your answer. Given segment AC is perpendicular to segment c

serious [3.7K]

The given conclusion that ABCD is a square is not valid.

Given that, AC⊥BD and AC≅BD.

We need to determine if the given conclusion is valid.

<h3>What are the properties of squares?</h3>

A square is a closed figure with four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.

A square is a quadrilateral with 4 sides and 4 vertices.
All four sides of the square are equal to each other.
The opposite sides of a square are parallel to each other.
The interior angle of a square at each vertex is 90°.
The diagonals of a square bisect each other at 90°.
The length of the diagonals is equal.

Given that, the diagonals of a quadrilateral are perpendicular to each other and the diagonals of a quadrilateral are equal.

Now, from the properties of a square, we understood that the diagonals of a square are perpendicular to each other and the diagonals of a square are equal.

So, the given quadrilateral can be a square. But only with these two properties can not conclude the quadrilateral is a square.

Therefore, the given conclusion that ABCD is a square is not valid.

To learn more about the properties of a square visit:

brainly.com/question/20377250.

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2 years ago

Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th

den301095 [7]

Answer:

The equation would be $30=12+9x$ .

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

$30 = 3\times4 +9x\\\\30=12+9x$

Hence The equation would be $30=12+9x$

Solving above equation we get;

$9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs$

Hence Allen will Run for 2 hours.

8 0

3 years ago