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3 years ago

Use a ratio to compare the values. Simplify the ratio5m to 100cm

Mathematics

1 answer:

lubasha [3.4K]3 years ago

3 0

The answer is 1m : 20cm

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Select the polynomial that can be factored as (4x-5)(16x^2+20x+25)

bezimeni [28]

f(x) = 64x³ - 125

Multiply each term in the second factor by each term in the first factor

= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)

=64x³ + 80x² + 100x - 80x² - 100x - 125

= 64x³ - 125 ← difference of cubes

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3 years ago

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3 years ago

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

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3 years ago

What is the length of side ab in equilateral triangle abc if the length of altitude ad to side bc is 12?

I am Lyosha [343]

$\lim_{n \to \infty} a_n$

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4 years ago