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soldier1979 [14.2K]
2 years ago
14

2. Can vertical angles also be adjacent angles? Explain.​

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
6 0

Adjacent angles are also vertical angles.

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You drive 4 miles from your house to your friend's house. Your house is at an elevation of 622 feet. Your friend's house is at a
ANEK [815]
Just subtract 622 feet from 486 feet to get the change in elevation.  The result will be negative because your friend's house is at a lower elevation than yours.

Now find the mean change in elevation per mile by dividing (486 ft - 622 ft) by 4 miles:
                      -136 ft
                    -----------  = -34 ft/mile
                       4 mi
8 0
3 years ago
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).
Hitman42 [59]
<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>
7 0
3 years ago
X^2-12x+12=0 completing the square
Makovka662 [10]

Answer:

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b)².

x² - 12x  =  - 12

x² - 2*6x + 6²- 6² = - 12

(x - 6)² - 36 = -12

(x - 6)² = - 12 + 36

(x -6)² = 24

(x - 6) = √24 or (x-6) = -√24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6

3 0
3 years ago
Every month, the bank withdraws $15
ehidna [41]

Answer:

5 months

Step-by-step explanation:

Given :The bank withdraws $15  from Betsy’s checking account as a  service fee every month.

To Find :  Betsy has budgeted $75 for  the next few service fees. For how many  months will the service fee be covered?

Solution :

Since we are given that $15 is service fees for 1 month

So. $1 is service fee for month = \frac{1}{15}

So, $75 is service fee for months = \frac{75}{15}

                                                       = 5

Hence$75 service charge will be covered for 5 months .

6 0
3 years ago
Giving Brainliest if Correct!!
Blizzard [7]

Answer:

c

Step-by-step explanation:

i think it c is it right

3 0
3 years ago
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