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3 years ago

6. If the following fractions were converted to decimals, which one would result in a repeating decimal?

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Are you sure that’s the correct question? All of these are repeating decimals except for C. 3/4

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Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

prohojiy [21]

Answer:

$x^2 + y^2 = 52$

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ and radius r has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at the origin;

This means that $x_0 = 0, y_0 = 0$

$(x - x_0)^2 + (y - y_0)^2 = r^2$

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

$x^2 + y^2 = r^2$

Passes through (4, 6)

The radius is the distance from this point to the center. So

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r = \sqrt{(4-0)^2+(6-0)^2}$

$r = \sqrt{16+36}$

$r = \sqrt{52}$

$r^2 = 52$

Then

$x^2 + y^2 = r^2$

$x^2 + y^2 = 52$

8 0

3 years ago

A particular frozen yogurt has 75 cal in 2 ounces how many calories are in 8 ounces of the yogurt

Vesnalui [34]

Just divide 8 by 2 and you'll get 4
Each container is 2 ounces so do 75 times 4 and you'll get 300 calories

4 0

3 years ago

Read 2 more answers

Which of the following represents “6 less

kykrilka [37]

Answer:

C) 3x - 6

Step-by-step explanation:

Let the unknown number be represented by placeholder x.

Then the product of 3 and the number is represented by 3*x or 3x.

This value diminished by 6 corresponds to 3x-6.

So the expression representing the required overall construct mathematically is given by 3x-6

Option a, 6x-3 represents the difference of 6 times x and 3.

Option b, 3-6x represents the difference of 3 and (6 times x).

Option d, 6-3x represents the difference of 6 and (3 times x).

3 0

3 years ago

Can someone pls help and show workings

Fittoniya [83]

Answer:

Step-by-step explanation:

8 0

3 years ago

my hw write find an equation of the line passing through (-2,3) and (4,-5) I have to write the equation in slope-intercept form

Viefleur [7K]

Answer:

The line passing through the given points is:

$y=-\frac{4}{3}x+\frac{1}{3}$

in its slope-intercept form

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points using the slope formula:

$slope=\frac{y_2-y_1}{x_2-x_1}$

which for our case renders:

$slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}$

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

$y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}$

Therefore, the equation of the line becomes:

$y=-\frac{4}{3}x+\frac{1}{3}$

3 0

3 years ago