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3 years ago

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

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The heights of the bars of a histogram correspond to:

Verdich [7]

Answer:

Frequency values

Step-by-step explanation:

The heights of the bars of a histogram correspond to the frequency values of the given data.

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2 years ago

Given: ZDEF is a right angle. Using a paragraph proof, prove 41 is acute.

Slav-nsk [51]

Let G be some point on the diagonal line away from point E.

Angle DEG represents angle 1.

We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.

----------------

Extra side notes:

If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.

If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.

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3 years ago

The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle

zloy xaker [14]

The cost function is an illustration of a linear function

The equation of the cost function is C(x) = 35 + 0.5x

The given parameters are:

$Rentals = 35$ -- the cost of renting a cooler

$Rate = 0.5$ --- the rate per bottle

Assume the number of bottles in a cooler is x.

The cost function for the bottles in a cooler would be:

$C(x) = Rentals + Rate \times x$

So, we have:

$C(x) = 35 + 0.5\times x$

Evaluate the products

$C(x) = 35 + 0.5x$

Hence, the equation is $C(x) = 35 + 0.5x$

Read more about linear functions at:

brainly.com/question/15602982

7 0

2 years ago

If the original square had a side length of

irina [24]

Answer:

Part a) The new rectangle labeled in the attached figure N 2

Part b) The diagram of the new rectangle with their areas in the attached figure N 3, and the trinomial is $x^{2} +11x+28$

Part c) The area of the second rectangle is 54 in^2

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

we know that

The dimensions of the new rectangle will be

$Length=(x+4)\ in$

$width=(x+7)\ in$

The diagram of the new rectangle in the attached figure N 2

Part b) Label each portion of the second diagram with their areas in terms of x (when applicable) State the product of (x+4) and (x+7) as a trinomial

The diagram of the new rectangle with their areas in the attached figure N 3

we have that

To find out the area of each portion, multiply its length by its width

$A1=(x)(x)=x^{2}\ in^2$