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2 years ago

Simplify this expression.

Mathematics

1 answer:

klio [65]2 years ago

6 0

Answer:

The solution for the expression is choice D 26√5 +2√10

Step-by-step explanation:

Hello!

First, apply distributive law: a(b+c)= ab+ac

2√5(13+√2) ....given expression
2√5.13 +2√5.√2...multiply the numbers
2.13=26
√5.√2=√10
26√5 +2√10

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Given the points (–3,k) and (2,0), for which values of k would the distance between the points be √34 ?

myrzilka [38]

Answer:

The values of k are 3 and -3

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$(-3,k)\\(2,0)$

$d=\sqrt{34}$

substitute

$\sqrt{34}=\sqrt{(0-k)^{2}+(2+3)^{2}}$

$\sqrt{34}=\sqrt{(-k)^{2}+(5)^{2}}$

$\sqrt{34}=\sqrt{k^{2}+25}$

squared both sides

$34=k^{2}+25$

$k^{2}=34-25$

$k^{2}=9$

$k=(+/-)3$

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3 years ago

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3 years ago

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Yuki888 [10]

Answer:

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Step-by-step explanation:

12x + 7 < - 11

12x < -18

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3 years ago

-4x+3<9 help please and show your answer

vladimir1956 [14]

Answer:

X =1,5

Step-by-step explanation:

==>-4x+3<9

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2 years ago

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UkoKoshka [18]

3x + 3 = 18

First, subtract 3 from both sides. / Your problem should look like: 3x = 18 - 3
Second, simplify 18 - 3 to 15. / Your problem should look like: 3x = 15
Third, divide both sides by 3. / Your problem should look like: x = $\frac{15}{3}$
Fourth, simplify $\frac{15}{3}$ to 5. / Your problem should look like: x = 5

Answer: x = 5

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3 years ago

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