What are the missing letters in the pattern? kr, np, _____ , tl , wj, ...

Mathematics

1 answer:

maria [59]3 years ago

4 0

Your answer is , qn.

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Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

astraxan [27]

Answer: $4\sqrt{3}$ .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

$D=\sqrt{(d-b)^2+(b-a)^2}$

Distance between points $(-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})$ .

$D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}$

Hence, the correct option is $4\sqrt{3}$ .

3 0

3 years ago

If f(x)= 2x-2 and g(x) =x^2 -8x+19, then f(x)=g(x) for what values of x?

frozen [14]

Answer:

24.

Step-by-step explanation:

With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.

7 0

3 years ago

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If you travel at a rate of 45 mph how many minutes will you will it take you to travel 1 mile

stiks02 [169]

It'd take you<span>, 1 minute and 33 secounds.
45 miles = 60 minutes
1 mile = 60/45 = 4/3 = 1.33 minutes </span>

7 0

3 years ago

In what ways does adding a constant or coefficient to a quadratic equation affect the graph

lesya692 [45]

A constant can either shift the graph up or down. If coefficient is less than 1 it will make the graph wider, if it's more than 1 it will make graph more narrow

7 0

3 years ago

A car traveling on the taconic parkway travels 84 mike in two hours what is the cars speed (a special type of rate) in miles per

avanturin [10]

we know that

the speed's formula is equal to

$speed=distance/time$