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miv72 [106K]
3 years ago
14

Find the inequality represented by the graph.

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0

Answer:

y>4x-2

Step-by-step explanation:

First let us find the equation of the line.

Given points (1,2) and (0, -2), the slope would be

(2-(-2))/(1-0) = 4/1= 4

The intercept is at -2, so the full equation would be

y=4x-2

However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.

Our equations should be,

y>4x-2

<em>I hope this helps! :)</em>

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A football player is running the length of a 100 yard long football field. For the first part of the field, he runs at a rate of
notka56 [123]

Answer:

\frac{2}{5}th part of the field is covered in the second sprint.

Step-by-step explanation:

A football player is running the length of a 100 yard long football field.

Let player sprints x yards with the speed = 2 yards per second.

So time taken to cover x yards player will take time = \frac{x}{2} seconds

Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = \frac{Distance}{Speed}

= \frac{100-x}{4} seconds

Now total time taken by the player can be represented by the equation

\frac{x}{2}+\frac{100-x}{4}=40

Now we can solve this equation for the value of x.

\frac{2x+100-x}{4}=40

x + 100 = 40×4

x + 100 = 160

x = 160 - 100 = 60 yards

And length of the second part will be = 100 - 60 = 40 yards

Now the fraction of the field covered by the player in second sprint will be

= \frac{40}{100}

= \frac{2}{5} or 40%

Therefore, \frac{2}{5}th part of the field was covered in second sprint.

5 0
3 years ago
What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?
vodka [1.7K]
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is V=Bh, the volume of a pyramid/cone is V=\frac{1}3Bh.

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is A=\pi r^2 where r is the radius.
A=\pi (4)^2=\pi (4\times4)=16\pi=B

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

V=\frac{1}3\times16\pi \times9

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

V\approx\frac{1}3\times50.24\times9

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

V\approx3\times50.24

\boxed{V\approx150.72\ cm^3}
8 0
3 years ago
Read 2 more answers
A line with an undefined slope that has an x-intercept of 9
lesantik [10]
A vertical line has an undefined slope.
vertical lines are X= something
in this case it needs to intercept 9.
so it is X=9
7 0
4 years ago
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What is the answer tie this problem (show ALL work please and thankyou) 1/3(18+12q)=6(2q-7)
qaws [65]
\frac{1}{3}(18 + 12q) = 6(2q - 7)   Use the Distributive Property on both sides
  6 + 4q = 12q - 42   Subtract 12q from both sides
   6 - 8q = -42          Subtract 6 from both sides
       -8q = -48           Divide both sides by -8
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7 0
4 years ago
The perimeter of a rectangular garden is 338 m.
Natasha_Volkova [10]

Answer:

l=95

Step-by-step explanation:

Perimeter is all the sides add up. So the equation if you know two of the sides, it should be: 338=(2*74)+(2*l)

5 0
3 years ago
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