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3 years ago

Find the slope of (3,5) and (-2,1)

Mathematics

1 answer:

Sonbull [250]3 years ago

7 0

m= y2-y1/x2-x1

m= 1-5/-2-3

m = -4/-5

m = 4/5

Thus the slope is 4/5

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Verify the identitiy:

Advocard [28]

Answer:

$\frac{sinx}{1-cos x}$ = $cosecx$ + $cot x$

Step-by-step explanation:

To verify the identity:

sinx/1-cosx = cscx + cotx

we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

sinx/1-cosx

Multiply the numerator and denominator by 1 + cosx

That is;

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

sinx(1+cosx) = sinx + sinx cosx

(1-cosx)(1+cosx) = 1 - cos²x

Hence

$\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$ = $\frac{sinx + sinx cosx}{1-cos^{2}x }$

But 1- cos²x = sin²x

Hence we will replace 1- cos²x by sin²x

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$ = $\frac{sinx + sinx cosx}{1-cos^{2}x }$ = $\frac{sinx+sinxcosx}{sin^{2}x }$

= $\frac{sinx}{sin^{2}x }$ + $\frac{sinxcosx}{sin^{2}x }$

= $\frac{1}{sinx}$ + $\frac{cosx}{sinx}$

= $cosecx$ + $cot x$

$\frac{sinx}{1-cos x}$ = $cosecx$ + $cot x$

Note that;

$\frac{1}{sinx}$ = $cosecx$

$\frac{cosx}{sinx}$ = $cot x$

6 0

3 years ago

When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to

bezimeni [28]

First convert 5,280 ft. into inches.
$5280 \times 12 = 63360$
5280 ft. equals 63360 inches.

Then you divide that by 42
$63360 \div 42 = 1508.57$
If you're rounding to the nearest step then it would take 1509 steps to run 1 mile.

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3 years ago

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juin [17]

Answer:

C) the mean and median

Explanation:

Mean is affected alot, while the median is some what affected.

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2 years ago

Which statement is true about the data set?

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