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3 years ago

The equation for a circle is x2+10x+y2+12y+52=0 .

Mathematics

2 answers:

aev [14]3 years ago

8 0

I believe the answer is (x+5)^2+(y+6)^2=9

hodyreva [135]3 years ago

7 0

Equation of circle in standard form is $(x-h)^{2} + (y-k)^{2} =r^{2}$

where (h,k) is the center of the circle and r is the radius.

To write the given equation in standard form we take 52 to the other side .The equation we have is :

$x^{2} +10x +y^{2} + 12y =-52$

To complete the square we take half of coefficient of x and y terms then square it .This is added to both sides of the equation .Half the coefficient of x term is 5 and half the coefficient of y term is 6 .Squaring it we have $5^{2} and 6^{2}$

Adding this to both sides:

$x^{2} +10x + 5^{2} +y^{2} +12y + 6 ^{2} = -52 +5^{2} + 6^{2}$

Simplifying we have:

$(x+5)^{2} +(y+6) ^{2} =9$

The last option is the right answer.

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Find cube root of 175616 ??

Tpy6a [65]

Answer:

Step-by-step explanation:

Cube root of 175616 by prime factorization method is 56

Solution:

To find cube root of 175616 by prime factorization method

A number that must be multiplied by itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 175616:

\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7

Thus we get,

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}

175616

2×2×2×2×2×2×2×2×2×7×7×7

Make the groups of 3 of equal numbers

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}

175616

2×2×2

2×2×2×

2×2×2

7×7×7

So there are 4 equal groups. So from that group take one factor out

\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56

175616

=2×2×2×7=56

Thus Cube root of 175616 by prime factorization method is 56

please mark me as a brainlist

3 0

3 years ago

There are 26 students in a 5th grade class. Five of these students will be

anastassius [24]

Answer: 5 ways

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)

TEA [102]

Answer:

12x +8y +1 = 0

Step-by-step explanation:

You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

3(x-(-3/4)) +2(y -1) = 0

3x +9/4 +2y -2 = 0 . . . . eliminate parentheses

3x +2y +1/4 = 0 . . . . . . . simplify

To eliminate the fraction, multiply by 4:

12x +8y +1 = 0

_____

Comment on the equation

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0

4 years ago

A college chemistry instructor thinks the use of embedded tutors will improve the success rate in introductory chemistry courses

Yuliya22 [10]

Answer:

Step-by-step explanation:

Hello!

The chemistry instructor tested the hypothesis that the proportion of students that passed the introductory chemistry class is better with an embedded. If the known proportion for this population is 65%, the tested hypothesis is:

H₀: p=0.65

H₁: p>0.65

The calculated statistic is Z=2.52 and the associated p-value: 0.0059

Remember:

The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case:

P(Z≥2.52)=0.0059

There is no significance level, the most common one is α: 0.05 so I'll use it as an example.

To make a decision using the p-value you have to compare it to the α.

If p- value>α then you support the null hypothesis (In this case, you can say that there is no change in the proportion of students that passed the introductory chemistry class with an embedded tutor.)

If p-value≤α your decision will be to reject the null hypothesis (In this case, there is significant evidence to say that there is an improvement in the success rate of the introductory chemistry class with an embedded tutor?

Since the p-value:0.0059 is less than the significance level 0.05, you will decide to reject the null hypothesis.

I hope you have a SUPER day!

8 0

4 years ago

Cam can bake 144 cakes in 30 minutes. How Many can she bake in 40 mins?

bulgar [2K]

Answer:

192 cakes. This is because the average cakes per minute is 4.8, you the multiply 4.8 by 40 to get 192.

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

The equation for a circle is ​x2+10x+y2+12y+52=0​ .

The equation for a circle is x2+10x+y2+12y+52=0 .