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Goryan [66]
3 years ago
10

Help please with number 11

Mathematics
2 answers:
harkovskaia [24]3 years ago
4 0

The answer Is A. 6cm,8cm,10cm

Jobisdone [24]3 years ago
3 0

Answer:

No

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

You might be interested in
What would cause an Inequality sign in an equation to flip?
FrozenT [24]

Answer:

When dividing both sides by a negative.

Step-by-step explanation:

When dividing OR multiplying both sides by a negative, we need to flip the inequality signs.

6 0
2 years ago
Can someone help me do part two please? It’s very important send a picture or something. I don’t even care if you tell me the st
Nataly_w [17]
<h3>Explanation:</h3>

1. "Create your own circle on a complex plane."

The equation of a circle in the complex plane can be written a number of ways. For center c (a complex number) and radius r (a positive real number), one formula is ...

  |z-c| = r

If we let c = 2+i and r = 5, the equation becomes ...

  |z -(2+i)| = 5

For z = x + yi and |z| = √(x² +y²), this equation is equivalent to the Cartesian coordinate equation ...

  (x -2)² +(y -1)² = 5²

__

2. "Choose two end points of a diameter to prove the diameter and radius of the circle."

We don't know what "prove the diameter and radius" means. We can show that the chosen end points z₁ and z₂ are 10 units apart, and their midpoint is the center of the circle c.

For the end points of a diameter, we choose ...

  • z₁ = 5 +5i
  • z₂ = -1 -3i

The distance between these is ...

  |z₂ -z₁| = |(-1-5) +(-3-5)i| = |-6 -8i|

  = √((-6)² +(-8)²) = √100

  |z₂ -z₁| = 10 . . . . . . the diameter of a circle of radius 5

The midpoint of these two point should be the center of the circle.

  (z₁ +z₂)/2 = ((5 -1) +(5 -3)i)/2 = (4 +2i)/2 = 2 +i

  (z₁ +z₂)/2 = c . . . . . the center of the circle is the midpoint of the diameter

__₁₂₃₄

3. "Show how to determine the center of the circle."

As with any circle, the center is the <em>midpoint of any diameter</em> (demonstrated in question 2). It is also the point of intersection of the perpendicular bisectors of any chords, and it is equidistant from any points on the circle.

Any of these relations can be used to find the circle center, depending on the information you start with.

As an example. we can choose another point we know to be on the circle:

  z₄ = 6-2i

Using this point and the z₁ and z₂ above, we can write three equations in the "unknown" circle center (a +bi):

  • |z₁ - (a+bi)| = r
  • |z₂ - (a+bi)| = r
  • |z₄ - (a+bi)| = r

Using the formula for the square of the magnitude of a complex number, this becomes ...

  (5-a)² +(5-b)² = r² = 25 -10a +a² +25 -10b +b²

  (-1-a)² +(-3-b)² = r² = 1 +2a +a² +9 +6b +b²

  (6-a)² +(-2-b)² = r² = 36 -12a +a² +4 +4b +b²

Subtracting the first two equations from the third gives two linear equations in a and b:

  11 -2a -21 +14b = 0

  35 -14a -5 -2b = 0

Rearranging these to standard form, we get

  a -7b = -5

  7a +b = 15

Solving these by your favorite method gives ...

  a +bi = 2 +i = c . . . . the center of the circle

__

4. "Choose two points, one on the circle and the other not on the circle. Show, mathematically, how to determine whether or not the point is on the circle."

The points we choose are ...

  • z₃ = 3 -2i
  • z₄ = 6 -2i

We can show whether or not these are on the circle by seeing if they satisfy the equation of the circle.

  |z -c| = 5

For z₃: |(3 -2i) -(2 +i)| = √((3-2)² +(-2-i)²) = √(1+9) = √10 ≠ 5 . . . NOT on circle

For z₄: |(6 -2i) -(2 +i)| = √((6 -2)² +(2 -i)²) = √(16 +9) = √25 = 5 . . . IS on circle

4 0
3 years ago
Recipe calls for two eggs for every half cup of sugar if you use 2 1/2 cups of sugar how many eggs will you need
Gwar [14]
I think you would need ten eggs for 2 1/2 cups of sugar. I might be wrong
5 0
2 years ago
Read 2 more answers
30. What is the solution to the system of equations?
sukhopar [10]

Answer:

x = 3

y = 0

z = 8

Step-by-step explanation:

a) 3x + 3y - z = 1

b) z = 8

c) -x -3y + 2z = 13

a) 3x + 3y - 8 = 1 (substitution)

a) 3x + 3y = 9

c) - x - 3y + 2(8) = 13 (substitution)

c) -x - 3y + 16 = 13

c) -x - 3y = -3

(3x + 3y = 9) + (-x -3y = -3)

= 2x = 6

x = 3

a) 3(3) + 3y - 8 = 1

9 + 3y - 8 = 1

y = (1 -9 + 8)/3

y = 0

5 0
3 years ago
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any
Doss [256]

Answer: S1:E7 ; S2:E1 ; S3:E5

Step-by-step explanation:

What we know:

  • 3 answers apply
  • We need to find which answers go with each question

**A lot of info is problem-specific.

How to solve:

Since we only need to write the equations, we simply need to find the x and y variables, and the total.

Process:

Problem 1:

  • Find the x                                                                     5.50
  • Find the y                                                                     3
  • Find the total                                                                145
  • Write equation                                                      5.50 + 3 = 145

Problem 2:

  • Find the x                                                                     2.50
  • Find the y                                                                     0.75
  • Find the total                                                                25
  • Write equation                                                      2.50 + 0.75 = 25

Problem 3:

  • Find the x                                                                     2
  • Find the y                                                                     5
  • Find the total                                                                50
  • Write equation                                                        2 + 5 = 50

Solution: S1:E7 ; S2:E1 ; S3:E5

8 0
2 years ago
Read 2 more answers
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