Find the x- and y- intercepts for 12y

What is the slope of a line perpendicular to a line with slope -8 ?

Alexandra [31]

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-8\implies \cfrac{-8}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-8}}\qquad \stackrel{negative~reciprocal}{\cfrac{1}{8}}}$

4 0

3 years ago

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Help please!!!!!!!!!!!!!!!!!!

NemiM [27]

Note: As you missed to mention the coordinate graph. After a little research I was able to find the graph and based on that graph I am answering your questions, which anyways would help you clear your concepts.

Question # 4

To Determine:

Part a) What are the coordinates (x, y) of a point halfway from City Hall to the hospital?

Part b) Is there more than one possibility?

Explanation:

Part a)

As the the location of coordinates of City Hall is (0, 0).
The hospital has the location at the point (-6, -4)

If we analyze the graph carefully, we observe that there is 10 blocks distance between City Hall to the Hospital. And when you travel by taxi, and cover the 5 blocks, it means you would have covered the halfway distance between City Hall to the hospital.

So, one of the coordinate (x, y) of a point halfway from City Hall to the hospital is (-1, -4). It could have also been (-4, -1). As both coordinates are indicating the half way distance from City Hall to the hospital, depending upon which route a car driver chooses.

Part b)

Yes, there is more than one possibility that there could be multiple coordinates (x, y) of a point halfway from City Hall to the hospital, as it entirely depends upon which route the taxi driver chooses to travel. For example, there is a total 10 block distance from City Hall to the hospital, and if a taxi covers 5 blocks, it means it has covered the halfway distance.

And to cover 5 block distance, there are multiple routes available a taxi driver can choose to travel. In short, the location of the coordinates of a point halfway from City Hall to the hospital is a function of the preference of the route chosen by taxi driver.

So, the points (-1, -4) and (-4, -1) are both the coordinates of a halfway from City Hall to the hospital.

 Question # 5

To Determine:

Part a) Suppose you traveled by helicopter. What are the coordinates of a point halfway from City Hall to the hospital? How can a helicopter travel differently?

Part b) Is there more than one possibility?

Explanation:

Part a)

When we are travelling by helicopter, we may have the flexibility of choosing the shortest possible distance as a car driver may not get this flexibility due to certain reasons like terrain, or a road blockage etc.

So, the coordinates of the point of shortest possible halfway distance from City Hall to the hospital is (-3, -2).

Part b)

Please remember, if we are travelling by helicopter and the Pilot chooses a shortest possible route, then there is only one way for the shortest possible route as there is only one halfway point.

Keywords: distance, shortest distance, coordinate, halfway distance

Learn more about distance from brainly.com/question/11592733

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4 0

3 years ago

Evaluate the expression -7 1/4x + 3 5/8 for x= -4

Misha Larkins [42]

Answer:

32 5/8 (or 32 and 5/8)

Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

-29/4(-4) + 3 5/8.

Repeat the last step to turn the other mixed number into an improper fraction.

-29/4(-4) + 29/8.

Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)

(-29/4 * -4/1) + 29/8.

29 + 29/8.

Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

29 x 8 = 232

1 x 8 = 8

Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

4 0

3 years ago

The average depth of the ocean is about

Dafna1 [17]

The height, in meters, of the tallest tower on the Incheon Bridge is 230.5 meters

From the question,

The average depth of the ocean is about 3688 meters.

Also,

To reach this depth, one would have to stack the tallest tower of the Incheon Bridge in South Korea 16 times.

Now, to determine the height, in meters, of the tallest tower on the Incheon Bridge,

We will divide the average depth of the ocean by 16

That is,

The height of the tallest tower on the Incheon Bridge = 3688 m ÷ 16

∴ The height of the tallest tower on the Incheon Bridge = 230.5 meters

Hence, the height, in meters, of the tallest tower on the Incheon Bridge is 230.5 meters

Learn more here: brainly.com/question/3029763

6 0

3 years ago

911!!! please answer this!!!

VikaD [51]

$\left(\dfrac{3a^{-3}b^2}{2a^{-1}b^0}\right)^2$

First some simplifying:

$\left(\dfrac{3a^1b^2}{2a^3b^0}\right)^2=\left(\dfrac{3b^2}{2a^2}\right)^2=\dfrac{9b^4}{4a^4}$

Then with $a=-2$ and $b=-3$ , we have $a^4=(-2)^4=16=4^2$ and $b^4=(-3)^4=81=9^2$ , so

$\dfrac{9b^4}{4a^4}=\dfrac{9\cdot9^2}{4\cdot4^2}=\dfrac{9^3}{4^3}=\dfrac{729}{64}$

7 0

3 years ago

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Find the x- and y- intercepts for 12y - 3x = -9