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2 years ago

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Mathematics

1 answer:

Nikolay [14]2 years ago

3 0

Answer:

3hope it help

Step-by-step explanation:

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Find the inequality represented by the graph.

Rainbow [258]

Answer:

y>-2/3x+3

Step-by-step explanation:

Looking at the line, we notice that the y-intercept is 3, and the slope is -2/3, so using that information, we find the slope intercept form of the inequality, which is y(?)-2/3x+3 (the question mark is where the inequality symbol will be).

Looking at the line again, we see that it is shaded above (not below), so y is greater than the other side of the inequality.

Looking at the line AGAIN, we see the graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.

Therefore, we should use the greater than symbol, creating the answer y>-2/3x+3.

5 0

2 years ago

In the xy-plane , the graph of y=x^2 and the circle with center ( 0,1) and the radius 3 have how many points of intersection ?

Nikitich [7]

There are 2 points of intersection

5 0

3 years ago

Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.

hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.

In ΔLOH

By Pythagoras theorem

$LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2$ → (1)

In ΔKOH,

$KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2$ → (2)

In ΔKHL,

$KL^2=LH^2+KH^2$

Using eq (1) and (2), we get

$KL^2=5^2+OH^2+OH^2+4^2$

$9^2=25+2OH^2+16$

⇒ $2OH^2=81-25-16=40$

⇒ $OH=\sqrt{20}=6.324\sim6.3units.$

Put the above value in eq 2, we get

$KH^2=20+4^2=36$

⇒ KH=6 units.

8 0

3 years ago

Read 2 more answers

Three students are working to find the solution set of this system of equations: y = 3x + 10 2y = 6x – 4

ivanzaharov [21]

Answer:

Step-by-step explanation:

Since this is a system with two equations, we can easily use a graphing calculator to find the solution

The intersection between the graphs of the equations

y = 3x + 10

2y = 6x – 4 (if we divide by two)

y = 3x - 2

However, we can see that the graphs have the same slope m = 3

Since both equations are not equal, there is no solution for this system

Please see attached graph. The lines are parallel and they never touch each other.

3 0

3 years ago

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Read the numbers and decide what the next number should be. 5 15 6 18 7 21 8

VikaD [51]

we have

$5,15 \\6, 18 \\7,21 \\8,?$

Let

$a1=5\\b1=15\\a2=3\\b2=18\\a3=7\\b3=21\\a4=8$

we know that

$\frac{b1}{a1}=\frac{15}{5}\\ \\b1=3*a1$

$\frac{b2}{a2}=\frac{18}{6}\\ \\b2=3*a2$

$\frac{b3}{a3}=\frac{21}{7}\\ \\b3=3*a3$

$a4=8$

the next term should be

$b4=3*a4=3*8=24$

therefore

<u>the answer is</u>

$24$

8 0

3 years ago

Read 2 more answers