78+24-11+56+23-117+1

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

PS: I really do not understand the options

9 0

1 year ago

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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

inna [77]

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

Step-by-step explanation:

The standard form of equation of circle.

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

Where (h,k) is the centre of a circle and r is the radius.

As given

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units .

Put in the formula

$(x - 3)^{2} + (y - 8)^{2} = 5^{2}$

(By using the formula (a - b)² = a² + b²- 2ab)

As 5² = 25

x² + 9 - 6x + y² + 64 - 16y = 25

x² + y² - 6x - 16y + 9 + 64 = 25

x² + y² - 6x - 16y + 73 = 25

x² + y² - 6x - 16y + 73 - 25 = 0

x² + y² - 6x - 16y + 48 = 0

(As the general equation of a circle are in the form x² + y² + Ax +By + F =0 Where A,B and C are constant .)

Therefore the general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .

6 0

1 year ago

What is the equation of the following line? Be sure to scroll down first to see all answer options. (0,3) (3,0) A. y = -x + 3 B.

qaws [65]

The correct answer is Choice A.

If you plot the points on a graph, you will see that there is a slope of -1 and the y-intercept is (0, 3).

This matches the equation of y = -x + 3 in Choice A.

4 0

2 years ago