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3 years ago

Help. What is the slope.

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answers: choice C) -4

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Explanation:

There are two basic ways to find the slope.
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The first way is where we use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,8) and (x2,y2) = (2,-4)
Plug the coordinate of those points into the slope formula, then simplify
m = (y2-y1)/(x2-x1)
m = (-4-8)/(2-(-1))
m = (-4-8)/(2+1)
m = (-12)/(3)
m = -4

The slope is -4

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The second way is to use a more visually oriented approach.
Start at (-1,8).
Draw a straight vertical line through this point. Then move to the point (2,-4) and draw a completely flat horizontal line through this point.
Mark the intersection between these two lines (vertical and horizontal) as point A

Now go back to (-1,8). Count the number of spaces you must move down to go from (-1,8) to point A. You should count out 12 spaces. This is the run, which in this case is negative since we're going downhill as we move from left to right

Then count 3 spaces to go from point A to (2,-4). This is the run

Rise = -12
Run = 3
Slope = Rise/Run = -12/3 = -4

As you can probably see, this effectively mirrors some parts of the slope formula above

No matter which method you use, the slope is -4

-4 is the same as -4/1

A slope of -4/1 means we go down 4 units and then move to the right 1 unit

So that means rise/run = -12/3 is the same as saying rise/run = -4/1

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Which description does NOT guarantee that a quadrilateral is a rectangle?

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Answer: A

a quadrilateral with all four angles right

Step-by-step explanation:

A quadrilateral is a rectangle if a quadrilateral has all four angles right,

a parallelogram with congruent sides

a quadrilateral with diagonals that are congruent and bisect each other

a quadrilateral with all congruent angles. Because a rectangle possesses 2 pairs of parallel sides, 4 right angles at 90°. It has opposite sides which

are parallel and congruent. And all its angles are congruent.

But a quadrilateral with all four angles right is a description that does NOT guarantee that a quadrilateral is a rectangle. Because this description is also applicable to a square.

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3 years ago

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siniylev [52]

Answer:

Explanation:

I'm going to turn the fractions into decimals

2 ½: 2.5

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Formula for the area of a parallelogram: A = b(h)

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Height: 2.5

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3 years ago

Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6

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First, solve for the volume (V) of each cylinder by the equation,
V = πd²h / 4
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To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder,
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3 years ago

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To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistr

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T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40

Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.

Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9

ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)

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3 years ago

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient? The sequence 05 Only the dig

Oksi-84 [34.3K]

Answer:

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?

The sequence 05

Only the digit 5

The sequence 54

Only the digit 4

The sequence 54 is the final answer.

Step-by-step explanation:

Given:

A a fraction 6/11 which Teagan is dividing we have to find the repeating quotient.

Here the divisor is 11 and the dividend is 6.

Lets say that the quotient is "q" .

And we know that:

⇒ Dividend / divisor = quotient

In mixed fraction.

⇒ Dividend / divisor = quotient + (remainder/ divisor)

Finding the values of "q".

⇒ $\frac{Dividend}{divisor} = quotient$

⇒ $\frac{6}{11} = 0.5454....$

Explanation:

To divide $6$ with $11$ we have to take a decimal in quotient which allows us to have a zero in each step in the quotient.
After putting zero the dividend will become $60$ and then we can apply $11\times 5 = 55$ ... $5$ in the quotient and $55$ in the numerator.
In third step we will subtract $55$ with $60$ that will give us $5$ putting a zero with it it will be now $50$ ,and the closet multiple of $11$ is $11\times 4=44$ , $4$ with the quotient and and $50-44=06$ will continue to be divided.
The fraction is a rational numbers as the decimals occurring are repeating decimals in the quotient.

Our final answer from the option is : C

The sequence 54 will be repeating.

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4 years ago