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Leviafan [203]
3 years ago
10

Problem is in the picture. HELP asap please!! I’m so confused

Mathematics
2 answers:
miv72 [106K]3 years ago
6 0

Answer:

A  22w = 1540

B Width = 70 feet

Length = 700 feet.

Step-by-step explanation:

A.  If the width is w then the length is 10w.

Perimeter = 2* (length + width) so

2(10w + w) = 1540

22w = 1540.

B.  22w = 1540

w = 1540 / 22

w = 70 feet.

l = 70 * 10 = 700. feet.

sashaice [31]3 years ago
5 0

Answer:

equation is

2(x+10x)=1540

width= 70ft

length= 700ft

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>plz</em><em> </em><em>mark</em><em> </em><em>bra</em><em>inliest</em>

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forty-seven marbles are shared between some children. each child receives six marbles and there are five marbles left over. how
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The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.

<u>Solution</u>

Total number of marbles = 47

The number of marbles received by each child = 6

Let the number of children be x

Then according to the question'

Total number of marbles received by all children + 5 = Total number of marbles

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x = 7

now, the number of children is 7.

<h3>What is linear equation in one variable?</h3>
  • An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
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  • Here, the variables x and y, the coefficients A and B, and the constant C are all present.
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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
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<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 ...

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

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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):

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  • |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

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Rearranging these to standard form, we get

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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 ...

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

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