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Lostsunrise [7]

3 years ago

6

How many unique ways are there to arrange the letters in the word DEN?

2 answers:

nata0808 [166]3 years ago

8 0

the answer would be 6 NOT 2

Tatiana [17]3 years ago

5 0

2 is the correct answer I'm almost definite

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Find the equation of a line parallel to y=4x−4 that contains the point (−2,0). Write the equation in slope-intercept form.

Allushta [10]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y=\stackrel{\stackrel{m}{\downarrow }}{4} x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)}) \\\\\\ y=4(x+2)\implies y=4x+8$

8 0

2 years ago

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt, what part is dirt

AVprozaik [17]

If you do the math you'll get 3/4 of the bag is dirt.

4 0

3 years ago

Read 2 more answers

Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so sh

Alexeev081 [22]

Answer:

Step-by-step explanation:

Ok so the beaker is 200 water:800 acid

So she drains 100 from the acid and 100 from the water which equals

100:700

Then she adds 200 water:

300:700

there is 300 mL water in da beaker now

i might got it wrong tho

5 0

3 years ago

Verify the identity. cot(x - pi/2) = -tan(x)

gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

$\cot(x-\frac{\pi}{2})=-\tan(x)$

Convert the cotangent to cosine over sine:

$\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)$

Use the cofunction identities. The cofunction identities are:

$\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)$

To convert this, factor out a negative one from the cosine and sine.

$\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)$

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

$\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)$

8 0

3 years ago

After unloading 96 pounds of mulch from the truck, there were still 24 pounds

Dennis_Churaev [7]

Answer:

120

Step-by-step explanation:

To find the answer you just have to add 24 and 96 together to get 120.

4 0

3 years ago