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Makovka662 [10]
3 years ago
9

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

es the undefined terms of line and point. What characteristics of these geometric figures create the different requirements? 
Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

Answer:

Sample Response: Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

iVinArrow [24]3 years ago
3 0
The characteristics of these geometric figures create:
1. Parallel lines are lines in the same plane that will never intersect and also if they are in different planes, those lines will never intersect too.
2. While perpendicular lines are two lines that will meet at a 90-degree angle or right angle.
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The graph of y=x^3 is transformed as shown in the graph below. With. Equation represents the transformed function
taurus [48]

Answer: y' = (-x)^3 - 4

Step-by-step explanation:

The graph y = f(x) = x^3 passes trough the point (0,0)

because when x = 0

f(0) = y = 0^3 = 0

in the graph of the image, we can see that the graph intersects the y-axis in the point (0, -4)

This means that we have a vertical displacement of 4 units downwards.

When we have a graph y = f(x), a vertical translation of A units can be written as

y' = f(x) + A

If A is positive, the displacement is upwards, if A is negative, the displacement is downwards.

So if the displacement is of 4 units down, A = -4

We also have that when x is negative, the value of y is positive.

But in our original function, we have that for x = -1, y  = (-1)^3 = -1  

so in our original function, when x is negative also does y.

Then we also did a reflection around the y-axis, this means that we now evaluate the function in -x instead of x.

So the equation of the graph is:

y' = (-x)^3 - 4

8 0
3 years ago
Which table represents a direct variation function?
Luda [366]
Direct variation is y=kx where k is a constant

the fiest way to see if it is direct or not, is if x increases, then y increases as well,
then we see if y=kx is valid, basically if we have a constant of variation


the first one x increase and y increase
see if same constant
y=kx
-4.5=-3k
1.5=k
so

see next one
-1 and 3
-3=-1(k)
-3=-1(1.5)
-3=-1.5
false
not it




2nd is increase and y decrease, so not direct variation

3rd is x is same but y increase so nope

4th is x increase and y increase, now test the constant
-7.5=-3k
2.5=k

-1 and -2.5
-2.5=-1k
-2.5=-1(2.5)
-2.5=-2.5
true

answer is last option
5 0
3 years ago
Read 2 more answers
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

b= 30

h=18

Now substitute the values in the formula

30(18)/2

30 times 18 = 540

divide the product by 2

540/2 = 270

6 0
3 years ago
Read 2 more answers
Circles M and K are congruent and QR is congruent to LN. Find QR
ddd [48]

At first, we need to find x.

QR = LN

2x+1 = 3x-7

x=8

Substitute value of a=8 into QR = 2x+1.

QR = 2*8+1 = 17

QR =17

5 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Ulleksa [173]

Answer:

The slope of this line will be y=-3/4x+3

Step-by-step explanation:

Hope this Helped

5 0
3 years ago
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