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Katyanochek1 [597]

3 years ago

9

DUE IN THE NEXT 10 MINUTES, PLEASE HELP! Describe the strategy used to find an equation of a line, given its slope and a point o

n the line.

1 answer:

Llana [10]3 years ago

3 0

Y=mx+b helps to find slope of a line.
B is where it starts on the y axis.
m is the slope.

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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2

wolverine [178]

Answer:

3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

__

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

2x +4(6 -x) = 18

-2x +24 = 18

-2x = -6 . . . . . . subtract 24

x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

<em>Additional comment</em>

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

8 0

2 years ago

Hiiiii, good morning world!!!!!!!! :)

Firlakuza [10]

Step-by-step explanation:

good morning

but its 16.53 here

8 0

3 years ago

Read 2 more answers

Betty stopped running half of the way through the run.

Serhud [2]

Desmond ran the further distance because Betty ran 2/4 and Desmond ran 3/4

6 0

3 years ago

{RO5-1} Simplify:<br> 2. 73

Volgvan

Answer:

2 11/15

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.73¯¯¯(1)

With 1 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 101 = 10

Equation 2:

10X=27.33¯¯¯(2)

Subtract equation (1) from equation (2)

10XX9X===27.33...2.73...24.6

We get

9X=24.6

Solve for X

X=24.69

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

24.69×1010=24690

Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

246÷690÷6=4115

Simplify the improper fraction,

=21115

In conclusion,

2.73¯¯¯=2 11/15

5 0

3 years ago