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Virty [35]
3 years ago
10

What’s the correct answer for this?

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units

Center (h,k) = (-3 ,4) and radius 'r' = 10

Step-by-step explanation:

<u>Step(i)</u>:-

Given circle equation is

  2 x^{2} +12 x+2 y^{2} -16 y-150 =0

Dividing "2' on both sides, we get

x^{2} +6 x+ y^{2} -8 y-75 =0

<u>Step(ii)</u>:-

now

x^{2} +2(3x) + (3)^{2}-(3)^{2}  +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0

by using (a+b)² =a²+2 a b+b²

              (a-b)² =a²-2 a b+b²

(x+3)^{2}-(3)^{2}  +(y-4)^{2}-(4)^2 -75 =0

(x+3)^{2}-9  +(y-4)^{2}-16 -75 =0

(x+3)^{2}  +(y-4)^{2}-100 =0

(x+3)^{2}  +(y-4)^{2}=100

(x+3)^{2}  +(y-4)^{2}=(10^2)

by comparing

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

<u><em>Final answer</em></u>:-

<em>Center (h,k) = (-3 ,4) and radius 'r' = 10 </em>

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List five rational numbers between: <br> −4<br> 7<br> and <br> 1<br> 2
klio [65]

5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

<h3>How to find the rational numbers?</h3>

Remember that any integer is also a rational number.

So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.

To do that, we can just add 1 to the lowest bound, we will et:

-47 + 1 = -46

-45 + 1 = -45

-44 + 1 = -44

-43 + 1= -43

-43 + 1 = -42

So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

If you want to learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

7 0
1 year ago
How do i solve 51/2x-7=62
Nataly [62]

51/2x-7=62

  1. Multiply both sides by 2x-7

\frac{51}{2x-7} ×(2x-7) = 62(2x-7)

    2. Switch sides

62(2x-7) = 51

     3. Divide each side by 62

\frac{62(2x-7)}{62} = \frac{51}{62}

     4. Simplify

2x-7 = 51/62

     5. Add 7 on both sides

2x-7+7 = (51/62)+7

     6. Simplify

2x = 485/62

      7. Divide both sides by 2

2x/2= 485/62/2

x= 485/124

7 0
3 years ago
How do I find the answer​
Montano1993 [528]

I cant see the photo i think yours is glitched?

4 0
3 years ago
Suppose you pay $29.25 for a pair of shoes that has been discounted 35%. What is the original price of the shoes? Show how you i
Temka [501]
The answer is $30.

We know discounted price of the shoes - $24.
We need to find out the original price of the shoes - x.

The discounted price is 80% of the original price (it is said that <span>shoes have been discounted 20%, so 100-20= 80%).

Let's set up a proportion. If $24 is 80%, how much is 100% (the original price):
$24 : 80% = x : 100 %

After crossing the products:
x = $24 * 100% / 80% = $30

Let's just check the result. After the discount of 20%, shoes will cost:
$30 - 20% = $30 - $30*(20/100) = $30 - $6 = $24.

</span><span>The original price of the shoes is $30.</span>
5 0
3 years ago
Which of the binomials below is a factor of this trinominal x^2-10x-39
Ksenya-84 [330]

Answer:

C

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 39) which sum to give the coefficient of the x- term (- 10)

The factors are - 13 and + 3, since

- 13 × 3 = - 39 and - 13 + 3 = - 10, hence

x² - 10x - 39 = (x - 13)(x + 3) ← in factored form

x - 13 is a factor → C

4 0
3 years ago
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