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Mandarinka [93]
3 years ago
12

What’s the correct answer for this?

Mathematics
2 answers:
VMariaS [17]3 years ago
5 0

Answer:

Second option is the correct answer

(x+11)^2+(y+6)^2 = 324

Step-by-step explanation:

x^{2} +12y+22x+y^2-167=0\\x^{2}+22x +y^2 +12y-167=0\\(x^{2}+22x +121)-121 +(y^2 +12y+36)-36-167=0\\(x+11)^2+(y+6)^2-324 = 0\\\huge\red{\boxed{(x+11)^2+(y+6)^2 = 324}}\\

Marta_Voda [28]3 years ago
4 0

Answer:

(x+11)^2+(y+6)^2=324

Step-by-step explanation:

x^2+12y+22x+y^2-167=0\\\mathrm{Circle\:Equation}\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:x^2+12y+22x+y^2-167=0\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\x^2+12y+22x+y^2-167=0\\\mathrm{Move\:the\:loose\:number\:to\:the\:right\:side}\\x^2+22x+y^2+12y=167\\Group\:x-variables\:and\:y-variables\:together\\\left(x^2+22x\right)+\left(y^2+12y\right)=167

\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\left(x^2+22x+121\right)+\left(y^2+12y\right)=167+12\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y^2+12y\right)=167+121\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}\\\left(x+11\right)^2+\left(y^2+12y+36\right)=167+121+36\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y+6\right)^2=167+121+36\\\mathrm{Refine\:}167+121+36\\\left(x+11\right)^2+\left(y+6\right)^2=324\\Rewrite\:in\:standard\:form

\left(x-\left(-11\right)\right)^2+\left(y-\left(-6\right)\right)^2=18^2\\\mathrm{Therefore\:the\:circle\:properties\:are:}\\\left(a,\:b\right)=\left(-11,\:-6\right),\:r=18

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Pls help and show workings <br> (If you don’t know the answer please don’t respond)
raketka [301]

Answer:

the required postulate which should be used here to make the triangles congruent is

C. ASA , okay

Step-by-step explanation:

because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA

I hope it helped

8 0
3 years ago
Read 2 more answers
Find the missing sides.
love history [14]

Answer:

Part 3)

x=6\ units

y=3\ units

Part 4) x=18\sqrt{2}\ units

Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

Simplify

x=(2*3)=6\ units

<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

6 0
3 years ago
Mentally estimate the total cost of items that have the following prices $1.85 $.98 $3.94 $9.78 and $6.18 round off the answer t
velikii [3]

the first 4 would be rounded up tot he nearest dollar and the last one rounded down to the nearest dollar

 doing that I estimate $23.00

Answer is C


7 0
3 years ago
Robert slices a large loaf of bread to make 12 sandwiches. He made 3 turkey sandwiches and 5 veggie sandwiches. The rest are ham
lions [1.4K]
We already know that there are 12 sandwiches.

If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.

12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches

Now we know there are 4/12 ham sandwiches

We need to simplify this now.
4/12 can be divided by 4

4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3

1/3 of the sandwiches are ham.
3 0
3 years ago
What is the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6?
mr_godi [17]
Hello : 
<span>the equation all lines passes through (-5, -1) is :
y - (-1) = m(x -(-5))   m the slope
if this line parallal </span><span>to the line y=4x-6 so : m= 4  (same slope )
</span><span>the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6:    is  : 
</span> y+1 =4(x+5)
y = 4x +19

8 0
3 years ago
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