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3 years ago

Please help me with this question:)

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

can you type the problem out please i will answer it i just the picture is kinda weird for me

Step-by-step explanation:

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Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Center: $(\frac{1}{2}, 0)$

Radius: $r =\sqrt{15}$

Step-by-step explanation:

The equation of a circle in the standard form is

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

Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

$(4x^{2} -4x) + (4y^{2}) - 59 = 0$

Divide both sides of equality by 4

$(x^{2} -x) + (y^{2}) - 14.75 = 0$

Now we complete square for variable x.

Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

$b =-1\\\\\frac{b}{2}= \frac{-1}{2}= -\frac{1}{2}\\\\(\frac{b}{2})^2= (-\frac{1}{2})^2 = \frac{1}{4}$

Now add $(\frac{b}{2})^2$ on both sides of the equality

$(x^{2} -x +\frac{1}{4}) + (y^{2}) - 14.75 = (\frac{1}{4})$

Factor the expression and simplify the independent terms

$(x-\frac{1}{2})^2 + (y^{2}) = 15$

$(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Then

$h =\frac{1}{2}\\\\k=0$

and the center is $(\frac{1}{2}, 0)$

radius $r =\sqrt{15}$

3 0

2 years ago

1. Rewrite the sum of 24 and 40 by factoring out the greatest common factor.

elena-s [515]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

In a hall,45%of the pupils were boys.there were 990 boys.how many pupils were there on the hall?

morpeh [17]

Your answer is 2,200 pupils.

If 990 is equal to 45% of the total amount of pupils, then to find 1% we can divide both 45 and 990 by 45.

990 ÷ 45 = 22, which is 1%, so then we multiply 22 by 100 to get 100% of the pupils, which gives us 2,200.

I hope this helps!

7 0

3 years ago

1. A 5 gallon container of trail mix is 20% nuts. Another trail mix is added

Anton [14]

Answer:

800 nuts

Step-by-step explanation:

i hope this helps

4 0

2 years ago

Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week

EleoNora [17]

B) f(t) = 70 x 1.43^t

5 0

2 years ago