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3 years ago

How many 4-colored groups can be selected from 13 different colored balloons?

1 answer:

4 0

3 four-colored groups

how i got my answer: how many times does 4 go into 13? 3 times but you have 1 ballon left over. hope this helps

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Write the equation of the line that passes through the given points.<br> (0,5) and (-2,-4)

Sati [7]

Answer:

$y=\frac{9}{2}x+5$

Step-by-step explanation:

To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:

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

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:

$y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}$

So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Pugging in 9/2 for m and 5 for b we get:

$y=\frac{9}{2}x+5$

which would be our equation.

I hope this helps. Happy studying.

3 0

4 years ago

Need help <br> Correct answers only.

disa [49]

The diameter of the circle is the same as the side length of the bounding square. The radius of the circle is 8 in, so the side length of the square is 16 in.

Then the area between the square and circle is obtained by subtracting the area of the circle from the area of the square:

$A_{\rm circle}=\pi(8\,\mathrm{in})^2=64\pi\,\mathrm{in}^2$

$A_{\rm square}=(16\,\mathrm {in})^2=256\,\mathrm{in}^2$

and the area you want is

$256-64\pi\,\mathrm{in}^2\approx54.9\,\mathrm{in}^2$

6 0

4 years ago

Find the length of side

quester [9]

Answer:

2*√2

Step-by-step explanation:

You need to use the trigonometrical function of angle (You should use the side sqrt2 and x to find the x). Take any acute angle (for example, 60 degrees)

The cos of this angle is equal to the ratio of adjoined leg (sqrt2) to the hypotenude (the side opposite to right angle, it is x)

cos60degrees= sqrt2/ x

1/2= sqrt2/x

x= 2*sqrt2= 2*√2

7 0

3 years ago

How do you simplify sqrt of x^20?

Makovka662 [10]

$\bf \sqrt{x^{20}}\implies \sqrt{x^{10\cdot 2}}\implies \sqrt{(x^{10})^2}\implies x^{10}$