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4 years ago

The slope is 5. Which of the following is the point slope form of the line?

Mathematics

2 answers:

ipn [44]4 years ago

7 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 5 and (a, b) = (- 1, 3), thus

y - 3 = 5(x - (- 1)), that is

y - 3 = 5(x + 1) → B

Dimas [21]4 years ago

4 0

B y-3=5(x+1)

Point slope is y-y1=m(x-x1)
Set up the equation
Y-3=5(x-(-1))
A negative and a negative is a positive
Equation is y-3=5(x+1)

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Harman [31]

False

I believe those are correct

7 0

4 years ago

What is the answer plz help it dividing

OLEGan [10]

= 9w^2 + 2w

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5 0

3 years ago

Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes

Luba_88 [7]

Answer:

Domain = 1 to 7

Range = 4 to 28

Step-by-step explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

$y =f(x)$

Domain of the function is the value of $x$ that can be given as valid input to the function.

Range of the function is the value of $y$ that can be output of the function.

Let $x$ be the number of cars manufactured.

Then value of $y$ is nothing but $x$ times 4.

$y=4x$

We are given that maximum value of $y$ can be 28.

$28 = 4x\\\Rightarrow x =7$

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.

3 0

3 years ago

What is the difference between the greatest and least possible area of the rectangle when the parameter of 18 inches

Romashka [77]

If the perimeter is fixed and you want to use it to enclose the greatest
possible area, then you form the perimeter that you have into a circle.

If it must be a rectangle, then the greatest possible area you can enclose
with the perimeter that you have is to form it into a square.

Since the perimeter that you have is 18 inches, form it into a square
with sides that are 4.5 inches long.
The area of the square is (4.5)² = 20.25 square inches.

There is no such thing as the 'least possible' area of the rectangle.
The longer and skinnier you make it, the less area it will have, even
if you keep the same perimeter. No matter how small you make the
area, it can always be made even smaller, by making the rectangle
even longer and skinnier. You can make the area as small as you
want it. You just can't make it zero.

Example:

Width = 0.0001 inch
Length = 8.9999 inches
Perimeter = 18 inches
Area = 0.00089999 square inch.

So, the difference between the greatest and least possible area
of the rectangle with the perimeter of 18 inches is

<em> (20.25) - (the smallest positive number you can think of)</em> square inches.

3 0

4 years ago

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

worty [1.4K]

Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8 and n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.$

Now, the probability of pulling three green marbles out with replacement is given by

$P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.$

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0

3 years ago