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shtirl [24]
3 years ago
12

Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the poin

t (0,2)
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

y = -2x/3 + 2

Step-by-step explanation:

A(0,1), B(2,4)

slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2

Slope of perpendicular to AB

m = -1/(3/2) = -2/3

Point to lie on perpendicular, P(0,2)

Equation of perpendicular, point-slope form

(y-yp) = m(x-xp)

y-2 = -(2/3)(x-0)

y = -2x/3 + 2

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If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with th
Amanda [17]

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

6 0
3 years ago
What is the length of ef in the right triangle below?
katrin2010 [14]

Answer: A

Step-by-step explanation:

Using pythagoras;

25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2}   \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24

Please give me a brainliest answer

3 0
3 years ago
Read 2 more answers
Help me pleaseee!!!!!
Oksi-84 [34.3K]

Answer:

x  \: is \: 3 \:  \: when \: \:  \: y \: is \: 18 \\ x   \: is \: 4 \:  \: when \:  \: y \: is \: 24

5 0
2 years ago
5/8=n-2/10<br><br> 9/x=10/x-7<br><br> p+9/p=3/10
lesya692 [45]
Download photo math for equations like this, it will also give you it step by step :)
4 0
2 years ago
PLEASE HELP PLEASE!!!
defon

Answer:

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0

Step-by-step explanation:

Given the table

x                f(x) = 2ˣ - 1                  g(x) = 1/2x

-2                  -3/4                               -1

-1                    -1/2                               -1/2

0                     0                                   0

1                       1                                   1/2

2                     3                                    1

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

  • f(0) = 0
  • g(0) = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

  • f(-1) = -1/2
  • g(-1) = -1/2

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0
6 0
2 years ago
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