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VMariaS [17]
2 years ago
5

Expand and simplify (4 + {sqrt}2 )(6 - {sqrt}2) Give your answer in the form b + c{sqrt}2

Mathematics
1 answer:
Ymorist [56]2 years ago
5 0
Dhucchgcycycgycyyccy56
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A line segment contains endpoints A (2,9) and B (2,3).
Artist 52 [7]

Answer:

(2,7)

Step-by-step explanation:

7 0
3 years ago
Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
ICE Princess25 [194]

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

-3y=-4x+5 and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

y=\frac{4}{3}x-\frac{5}{3} So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

y-5=-\frac{3}{4}(x-3)* and

y-5=-\frac{3}{4}x+\frac{9}{4} and

y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4} so

y=-\frac{3}{4}x+\frac{29}{4}** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

3 0
3 years ago
Which expression is equivalent to 64 2/3<br><br><br> PLS HELP
gogolik [260]

Answer:

194/3

Step-by-step explanation:

5 0
3 years ago
If events A and B are mutually exclusive, P(A or B) = 0.5, and P(B) = 0.3; then what is P(A)?
11Alexandr11 [23.1K]

Answer:

P(A) = 0.2

Step-by-step explanation:

We have that:

P(A) = P(a) + P(A \cap B)

In which P(a) is the probability of a but not b and P(A \cap B) is the probability of both A and B.

By the same logic, we have that:

P(B) = P(b) + P(A \cap B)

Also

P(A or B) is

P(A \cup B) = P(a) + P(b) + P(A \cap B)

Events A and B are mutually exclusive

This means that P(A \cap B) = 0

P(B) = 0.3 = P(b)

P(A \cup B) = P(a) + P(b) + P(A \cap B)

0.5 = P(a) + 0.3

P(a) = 0.2

P(A) = P(a) + P(A \cap B) = 0.2 + 0 = 0.2

4 0
4 years ago
PLS HELP IM TIMED
alina1380 [7]

Answer:

step one!

Step-by-step explanation:

I could be wrong, let me know!

7 0
3 years ago
Read 2 more answers
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