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2 years ago

Factor 54+27 using the GCF. The factored expression is ?

Mathematics

1 answer:

galben [10]2 years ago

3 0

Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

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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

2 years ago

Please help me find n. 1/3=n+3/4

raketka [301]

Answer:

-5/12

Step-by-step explanation:

Let's solve your equation step-by-step.

1 /3 = n + 3 /4

Step 1: Flip the equation.

n + 3 /4 = 1/ 3

Step 2: Subtract 3/4 from both sides.

n+ 3 /4 − 3/4 = 1/ 3 − 3 /4

n= −5 /12

7 0

2 years ago

HELP ASAP WILL GIVE BRAINLIEST IF CORRECT

Anna35 [415]

The expression that can be used is 3.14 (6x4+6^2)

The surface area is 188.4

5 0

2 years ago

Read 2 more answers

Worth 40 points with a brainliest if you have an explanation.

Ivenika [448]

Answer: 4,280

Step-by-step explanation:

7 0

2 years ago

What is the sum of radical 28and radical 63

miv72 [106K]

Answer:

91 radical

Step-by-step explanation:

because because two radicals make a radical and when you add those numbers together there 91 so 91 radical

8 0

2 years ago