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3 years ago

Are the lines y=7x+15 and y=7x+4 perpendicular, parallel, and explain.

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

The lines would be parallel because their slopes are the same and their y-intercepts are different.

Step-by-step explanation:

First, start with the two equations:

y = 7x + 15

y = 7x + 4

So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.

In this case, the lines are in slope-intercept form:

y = mx + b

so the slope is already given.

Slope of line 1 = 7x

Slope of line 2 = 7x

Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.

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lisov135 [29]

<h3>Answer:</h3>

4 miles per hour

<h3>Step-by-step explanation:</h3>

Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.

Proportion

First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.

This creates the proportion $\frac{12miles}{3hours}$

So, the rate we are given is 12/3.

Unit Rate

To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.

12/3 equals 4
3/3 equals 1

So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.

Graph

Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.

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2 years ago

Read 2 more answers

How to comment on brainly.com and I'm only 8-years-old so keep it simple please

dedylja [7]

Answer:

You just do.

Step-by-step explanation:

That's all there is

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3 years ago

A person invests $125 at 3% interest. how long will it take to be worth 300

aleksandr82 [10.1K]

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4 years ago

How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i

Dahasolnce [82]

The amount of sugar $x$ in the starting solution contributes to a 36% concentration, so we have

$\dfrac x2=0.36\implies x=0.64$

units of sugar in the solution.

Into this solution, Sharon wants to pour $y$ liters of water to obtain a smaller concentration of sugar in the overall solution:

$\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33$

So Sharon needs to add $\dfrac{10}3$ liters of water to the solution to get the desired concentration.

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4 years ago

I need help am I doing this right

disa [49]

No, you got the inequalities the wrong way.
In negative numbers, it is how much lower it is than 0. For example, -22 is 22 less than 0. And -2 is 2 less than 0. Here, -22 is actually less than -2 because it is farther below 0 than -2.
You can understand this better if you graph it on a number line.
So, -12 >-15. (-15 is 3 less than -12).
-1/3 >-1.
-2>-21.

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4 years ago