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Yuri [45]
3 years ago
5

Which graph represents a proportional relationship?

Mathematics
2 answers:
Ilya [14]3 years ago
8 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First of all a proportional line must have these traits:

1. straight line

2. passes through the origin

The only one that has both of these traits is the top graph.

Colt1911 [192]3 years ago
7 0

Answer:

represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.

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Evaluate the expression<br><br> 5c - 2 = when c = 3<br><br> HELPPP quick
Ugo [173]

Answer:

13

Step-by-step explanation:

Substitute 3 into c --> 5(3)-2 = 15-2 = 13

8 0
3 years ago
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123 is 75% of what amount
bixtya [17]
123/0.75 =164
the answer is 164
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You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along
sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}

Then, the time (speed divided by distance) is:

t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1

To optimize this function we have to derive and equal to zero:

\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\  \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\

x

As d_b=x, the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0
3 years ago
Will give brainliest if correct
zaharov [31]

Answer:

8x+140=180

8x=40

x=5°

Step-by-step explanation:

Sum of angles in a straight line=180°

6 0
2 years ago
I know you add it but can you please help and show work
kondaur [170]
Answer is b i know this
5 0
3 years ago
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