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Kitty [74]
2 years ago
12

If two different lines intersect, then they intersect at one and only one point.

Mathematics
2 answers:
pishuonlain [190]2 years ago
7 0

Answer:

Step-by-step explanation:

This is true in two-dimensional space.

In three-d space, the lines do not necessarily intersect.

Alona [7]2 years ago
5 0

Answer:

If two distinct planes intersect, then their intersection is a line. If two distinct lines intersect, then they intersect in exactly one point. If there is a line and a point not in the line, then there is exactly one plane that contains them. If two distinct lines intersect, then they lie exactly in one plane.

Step-by-step explanation:

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Could anyone help me with this question? Thank you!
shutvik [7]

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}

First, we can factor both the numerator and the denominator. This yields:

\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}

Cancel like terms:

\displaystyle =\frac{(n^2-6)}{(n^2-2)}

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

(n^2-2)(n^2-5)=0

Solve for n. By the zero product property:

n^2-2=0\text{ and } n^2-5=0

Therefore:

n^2=2\text{ and } n^2=5

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5

Therefore, our fully simplified expression is:

\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2

Hence, our answer is C!

4 0
3 years ago
What is the point slope equation of the line with slope -12 that goes through the point (5,3)
atroni [7]
Point-slope
y - y1 = m(x - x1)
y - 3 = -12(x - 5)
6 0
3 years ago
Which angle pairs are supplementary? Check all that apply.
Zina [86]

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

7 0
3 years ago
Read 2 more answers
A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

i = 5510 + 190x – 145x - 5x^2

i = -5x^2 + 45x + 5510

Taking the 1st derivative:

di/dx = -10x +45

Set to zero to get the maxima:

-10x + 45 = 0

x = 4.5

 

So the cars should be rented at:

29 + x = 33.5 dollars per day

 

The maximum income is:

i = (190 – 5*4.5) * (33.5)

i = 5,611.25 dollars

7 0
3 years ago
twenty students in A and 20 students in class B were asked how many hours they took to prepare for an exam.The data sets represe
SSSSS [86.1K]

Answer:

is there a graph i can read?

Step-by-step explanation:

6 0
2 years ago
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