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3 years ago

Find the area of the following figure and choose the appropriate result.

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer: The Area is 8497.7937

Step-by-step explanation: hope this helps

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Which quadratic equation has solutions x=8 and x=−1?

andrezito [222]

There are two ways you can do this

$Using the formula$

${x}^{2} - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^{2} - (8+-1)x + - 1 \times 8 = 0$

${x}^{2} - 7x - 8 = 0$

$Working backwards$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^{2} + x -8x - 8 = 0$
$\Rightarrow {x}^{2} - 7x - 8 = 0$

7 0

4 years ago

If a system of equations has no solution, what does the graph look like?

Valentin [98]

Answer:

Step-by-step explanation:

parallel lines

5 0

3 years ago

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Find the mean, median and range of the following list of values and choose the correct result.

nevsk [136]

Answer:

The mean or average is 9.5 for this set of data. The median is 10.5 and the range is 5.

4 0

4 years ago

Read 2 more answers

Parallel to y=4x+2,y intercept at 4

seraphim [82]

Answer:

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 4x + 2 → m = 4.

The slope of parallel line is m = 4 and the y-intercept b = 4.

Therefore we have the equation of a line:

$y=4x+4$

4 0

4 years ago

A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of

finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

Diameter = 18 cm

r = 18÷ 2 = 9 cm

h = 12 cm

$\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}$

= π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

$\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}$

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

$\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12$

$\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}$

6 0

2 years ago