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elena-14-01-66 [18.8K]
3 years ago
10

Find the inequality represented by the graph

Mathematics
2 answers:
bezimeni [28]3 years ago
4 0
The answer is y ≥ 1/2x
GaryK [48]3 years ago
4 0

Answer:

y\geq \frac{1}{2}x

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}

Now, using one point, the slope and the slope-point formula, we find the linear expression

y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0

We know that 1 is more than zero, this means that the right inequality sign is \geq, due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

y\geq \frac{1}{2}x

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Monica asked her friends to buy a charity raffle ticket for $3. All but 4 of her friends bought a ticket, and she raised $18. Ho
Dafna11 [192]

Answer:

She asked 10 friends to buy tickets.

Step-by-step explanation:

If each ticket sells for 3 dollars, you can get the amount of people that bought the tickets by taking the amount earned divided by the price of the ticket.

$18 / $3 = 6

If 6 friends bought tickets and 4 friends did not, add the two together and you will get how much people Monica asked.

6 + 4 = 10

She asked 10 friends to buy tickets.

5 0
3 years ago
Read 2 more answers
A student solved for the radius of a circle with a circumference of 12π
padilas [110]

Answer:

Step 4 is incorrect  he did not divide correctly from step3 to step 4

Step-by-step explanation:

The circumference of a circle is

C = 2 * pi *r

We know the circumference is 12 pi

12pi = 2 pi *r

Divide each side by 2 pi

12 pi/2pi = 2pi r/ 2pi

6 = r

From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r

In step 4 he got 6 =pi r  instead of pi

3 0
3 years ago
Question 5- Please help. Using a piece of pizza explain what arc length and area of the sector mean in two to three sentences.
pickupchik [31]

Answer:

You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.

3 0
3 years ago
2x−4y=20 whats the answer
alexdok [17]

The answer is

x=10+2y

Steps:

2(x-2y)=20

x-2y=20/2 (in fraction form 20/2)

x-2y=10

X=10+2y

4 0
3 years ago
Read 2 more answers
Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va
solniwko [45]

Answer:

A = 15   B = 20   C = 25

D = 30   E = 40   F = 50

D = 3    E = 4     F = 5

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

A = 15

B = 20

C = 25

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

D = A * n    E = B * n     F = C * n

Where

n = Scale\ Factor

Assume n = 2.

So, we have:

D = A * n    

D =15 *2

D = 30

E = B * n    

E = 20 * 2

E = 40

F = C * n

F = 25 * 2

F = 50

Assume n = \frac{1}{5}.

So, we have:

D = A * n    

D =15 *\frac{1}{5}

D = 3

E = B * n    

E = 20 * \frac{1}{5}

E = 4

F = C * n

F = 25 * \frac{1}{5}

F = 5

So, the possible sides are:

A = 15   B = 20   C = 25

D = 30   E = 40   F = 50

D = 3    E = 4     F = 5

6 0
3 years ago
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