If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its radius is:

Answers

Answer 1

Answer: Hey there :)

The equation of a circle is:
( x - h )² + ( y - k )² = radius²

Therefore, in this example,
( x + 4 )² + ( y - 6 )² = 25
25 = radius²
$√(radius^2) = √(25)$
radius = 5

Answer 2

Answer:

Final answer:

The equation you provided is a standard form equation for a circle. By comparing it to the general circle equation and taking square root of the constant on the right side, we find that the radius of the circle is 5.

Explanation:

The equation of a circle is typically given in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Looking at your given equation: (x + 4)² + (y - 6)² = 25, we can see that this fits the general form.
The radius r is given by the square root of the number on the right side of the equation. In this case, it equals to √25 which is 5.

Therefore, the radius of the circle is 5.

Learn more about Radius of Circle here:

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. What is the slope of the line with the equation 2x + 3y + 6 = 0 ?

Answers

-2/3. You take 3y and move it to the opposite side. Then you would take the three from the 3Y and divide everything by three, so you get -2/3x+2=Y then you look at what the coefficient is in front of X and X equals -2/3, which is your slope.

$2x + 3y + 6 = 0 \n \n3y=-2x-6 /:3\n \ny=-(2)/(3)x-(6)/(3)\n \ny=-(2)/(3)x-2$

$Answer : \ is \ your \ slope : \ \ m = -(2)/(3)$

Ella and Nico had $250 altogether. If Nico spent $35, he would still have $5 more than Ella. How much money did Ella have?

Answers

Ella would have had $105

Jorge wants to write 4/5 as a sum of unit fractions.

Answers

Unit fractions are fractions whose numerators are 1 and whose denominators are positive integers.

4/5 written as a sum of unit fractions is:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Find the real or imaginary solutions of the equation by factoring. x^4-8x^2=-16

Answers

ANSWER
$x=2$ or $x=-2$
EXPLANATION

The given equation is
${x}^(4) - 8 {x}^(2) = - 16.$

We set everything equal to zero to obtain,

${x}^(4) - 8 {x}^(2) + 16 = 0$

We rewrite the leading term to obtain,

${( {x}^(2) )}^(2) - 8( {x}^(2)) + 16 = 0$

This has now become a quadratic equation in
${x}^(2)$

We split the middle term to get,

${( {x}^(2) )}^(2) - 4 {x}^(2)- 4x^2+ 16 = 0$

We factor to get,

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

We factor further to get,

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

This gives

$( x-2)(x+2)(x-2)(x+2)= 0$

$( x-2)^2(x+2)^2= 0$

$x=2$ or $x=-2$

1. El tamaño de un glóbulo blanco de aproximadamente es de aproximidamente 0,000012 metros, mientras que el tamaño de un glóbulo rojo es de 0.0000065m. ¡Cuál es la diferencia entre el tamaño de un glóbulo blanco y el tamaño de un glóbulo rojo?.Expresar el resultado en Notación Científica.

Answers

Answer:

The difference between the size of white blood cells and the size of red blood cells in scientific notation is $5.5 * 10^(-6)$ m.

Step-by-step explanation:

we are given that the size of white blood cells is 0.000012 metres and the size of red blood cells is 0.0000065 metres.

And we have to find the difference between the size of both cells in scientific notation.

SO, Size of White blood cells = 0.000012 m

Size of Red blood cells = 0.0000065 m

Now, Difference between both cell sizes = Size of white blood cells - Size of Red blood cells

= 0.000012 m - 0.0000065 m

= 0.0000055 m

Now, in scientific notation it is represented as = $5.5 * 10^(-6)$ m

Hence, the difference between the size of white blood cells and the size of red blood cells in scientific notation is $5.5 * 10^(-6)$ m.

Anita has $300 in her savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year?

Answers

Answer:

$15

Step-by-step explanation:

We are given that

Anita has money in her saving account=$300

She earns annually=5%

We have to find the value of interest she will earn in 1 year when the interest is not compounded.

P=300, r=5%,t=1

To find the value of interest we will use the formula of simple interest.

Simple interest,I= $(P* r* t)/(100)$

Substitute the values in the formula then, we get

Interest= $(300* 5* 1)/(100)=15$

Hence, she will earns interest in 1 year=$15

300 x 0.05 = 15

So she will earn $15 of interest in 1 year

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