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3 years ago

Two intersecting lines have zero, an infinite number, two, or one of the same points in common?

Mathematics

1 answer:

fredd [130]3 years ago

5 0

If two lines intersect, then there are two possibilities

1) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y-intercepts may or may not be the same).

2) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y-intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).

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Write the function in vertex form, and identify its vertex. g(x) = 5x2 - 50x + 128

steposvetlana [31]

Hello :
<span>g(x) = 5x² - 50x + 128
= 5(x²-10x +128/5)
= 5 (x²-10x+5²-5² +128/5)
= 5 ((x-5)² +128/5 -125/5)
y = 5 ((x-5)² - 3/5)
y= 5(x-5)² +3.....vertex form
the vertex is : (5,3)</span>

3 0

4 years ago

Please help and thank you!

Stolb23 [73]

The conversion is

$x = r \cos \theta$

$y = r \sin \theta$

$\dfrac y x = \tan \theta$

We're given the fairly unusual

$\theta = -\frac 5 2$

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

$\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747$

Ah, there's our .75. The approximate answer is

$y = 0.75 x$

Third choice.

The exact answer is

$y = x \tan( -\frac 5 2)$

also a line through the origin.

3 0

3 years ago

The age that women in Virginia decide to get married for the first time is normally distributed with an average of 26.3 years an

Nuetrik [128]

Answer:

The answer is 0.9789 approximately equal to 0.9790

Step-by-step explanation:

See the attached files for the details, hope it is clearly understood.

Download pdf

3 0

3 years ago

The Mejia family’s total monthly expenses are $5500. They pay 12% of their income to taxes. What is the minimum monthly salary t

lions [1.4K]

$5500×1.12= $6160. same method as the previous answer I gave you:)

4 0

4 years ago

Line I has a slope of 13/7. The line through which of the following pair

ivolga24 [154]

Answer:

Step-by-step explanation:

You need to find the set of points that will yield a slope that is the negative reciprocal of the slope of Line L because perpendicular lines have negative reciprocal slopes. The negative reciprocal of 13/7 is -7/13. Which set of points will produce this result? The formula for finding the slope is:

m = (y2 - y1)/(x2 - x1)

Consider the second set of coordinates.

(2 - (-5))/(-7 - 6) = (2 + 5)/(-13) = -7/13

The second set of coordinates satisfy the condition.

3 0

2 years ago