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zlopas [31]
4 years ago
6

Simplify show work1. √50 + √82. 30/√7​

Mathematics
1 answer:
vova2212 [387]4 years ago
7 0

Answer:

1. 7 sqrt(2)

2. (30 sqrt(7))/7

Step-by-step explanation:

Simplify the following:

sqrt(50) + sqrt(8)

sqrt(50) = sqrt(2×5^2) = 5 sqrt(2):

5 sqrt(2) + sqrt(8)

sqrt(8) = sqrt(2^3) = 2 sqrt(2):

5 sqrt(2) + 2 sqrt(2)

5 sqrt(2) + 2 sqrt(2) = 7 sqrt(2):

Answer: 7 sqrt(2)

_____________________________________________

Simplify the following:

30/sqrt(7)

Rationalize the denominator. 30/sqrt(7) = 30/sqrt(7)×(sqrt(7))/(sqrt(7)) = (30 sqrt(7))/7:

Answer: (30 sqrt(7))/7

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4x 4/4 is equal to 1 , since 4/4 is equal to 1
Grace [21]

Answer:

False, it is equal to 4.

Step-by-step explanation:

The current question asks that 4 x 4/4 is equal to 1, since 4/4 is equal to 1, but this stems from a gross misinterpretation of mathematics.

Although it is true that 4/4 is equal to one, since the 4 parts that make up an integer are completed, when multiplying the number 1 4 times this mathematical operation will result in 4, since 4 x 1 = 4.

5 0
3 years ago
Equation of the line passing through (7,5) and (1, 2)​
Trava [24]

Answer:

y = \frac{1}{2}x + \frac{3}{2}

Step-by-step explanation:

Assuming this is a linear equation in the form of y = mx + b, we can first solve for the slope using \frac{y_2 - y_1}{x_2 - x_1}, for these points, the slope would be \frac{1}{2}. Now we plug in the points to get the equation:

plugging in (7,5), we get 5 = \frac{1}{2} ×7 + b

and solving for b, we get b = \frac{3}{2}

therefore, the equation of the line passing through (7,5) and (1,2) is y = \frac{1}{2}x + \frac{3}{2}.

hope this helps!

6 0
2 years ago
What is 3/6 as a decimal?
iren2701 [21]
0.5 is the answer hope I helped you
5 0
3 years ago
Can anybody explain to me what this question mean so it says "8 more than a number n is written ___________ in algebraic form"
Umnica [9.8K]

Answer:

They want you to put it into an expression so that it could be expressed. So, 8 more than n would be 8+n.

Hope This Helps!!! :D  

3 0
3 years ago
Read 2 more answers
If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No
Effectus [21]

If A and B are independent, then P(A\cap B)=P(A)P(B).

a.

P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)

P(A\cup B)=0.5+0.2-0.5\cdot0.2

\boxed{P(A\cup B)=0.6}

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)

P(A^c\cap B^c)=1-0.6

\boxed{P(A^c\cap B^c)=0.4}

c. DeMorgan's law can be used here too:

P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)

P(A^c\cup B^c)=1-0.5\cdot0.2

\boxed{P(A^c\cup B^c)=0.9}

4 0
3 years ago
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