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3 years ago

Henry is planning to create two rectangular gardens.

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer:

Step-by-step explanation:

THANKS 4 POINTS!!!!!!!

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The ages of the 11 players of a soccer team on the soccer field are shown 21,32,22,28,26,30,29,24,22,24,26

bekas [8.4K]

Answer:

B is the answer of the following question...

I hope it is correct !

7 0

3 years ago

Read 2 more answers

Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .

Where,

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

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

$(0, 16) = (x_1, y_1)$

$(3, 40) = (x_2, y_2)$

$slope (m) = \frac{40 - 16}{3 - 0}$

$slope (m) = \frac{24}{3}$

$slope (m) = 8$

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

$y = mx + b$

$16 = 8(0) + b$

$16 = 0 + b$

$16 = b$

$b = 16$

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

$y = mx + b$

$y = 8x + 16$

Let's use the equation to find x when y = 112.

$y = 8x + 16$

Substitute y = 112 in the equation

$112 = 8x + 16$

$112 - 16 = 8x$

$96 = 8x$

Divide both sides by 8

$12 = x$

$x = 12$

8 0

3 years ago

What is the center of the ellipse x2+5y2–45=0?

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Where center is at point (h,k)

From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

8 0

2 years ago

Find the unknown side length for ABC.<br> A.) 483.86<br> B.) 171.36<br> C.) 13.09

Allushta [10]

It’s b I just had this

3 0

3 years ago

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Two angles are supplementary (add up to 180 degrees). The measure of one angle is ten more than the other. Find the measure of e

Aleonysh [2.5K]

Answer:

85° and 95°

Step-by-step explanation:

So, one angle is x, the other angle is x + 10. Using this, you can form an equation.

x + x + 10 = 180

Now, solve the equation.

2x + 10 = 180

2x = 170

x = 85

So, one angle is 85 while the other angle is 95.

85 + 95 = 180,

so we know that our answer is correct.

7 0

3 years ago