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Elza [17]
3 years ago
7

The diameter of a circle has endpoints A(1, 3) and B(4, 7), what is the

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

The circumference of the circle is 5π

Step-by-step explanation:

First we need to calculate the diameter  

for this we have to know the distance between A(1, 3) and B(4, 7)

X =  Xb - Xa

X = 4 - 1

X = 3

Y = Yb - Ya

Y = 7 - 3

Y = 4

b - a = (3 , 4)

now that we have the distance of x and r we can calculate its distance using Pythagoras

h = hypotenuse

x = leg 1 = 3

y = leg 2 = 4

h² = x² + y²

we replace the known values

h² = (3)² + (4)²

h² = 9 + 16

h² = 25

h = √25

h = 5

The diameter of the circle is 5

Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:

c = circumference

d = diameter = 5

π = pi

c = π * d

we replace with the known values

c = 5  * π

c = 5π

The circumference of the circle is 5π

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Equation:<br><img src="https://tex.z-dn.net/?f=5%20%2B%205%20%3D%205x%20%2B%205%20-%202" id="TexFormula1" title="5 + 5 = 5x + 5
dem82 [27]

Answer:

x = \frac{7}{5}

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3         - 3        (subtract 3 from both sides to isolate x)

7 = 5x

÷5  ÷5   (divide both sides by 5 to find "1"x)

\frac{7}{5}=x  

So, x = \frac{7}{5}

(x = 7/5)

hope this helps!!

7 0
2 years ago
Read 2 more answers
Find the distance.<br> -3,5 and 7,-1
Brilliant_brown [7]

Answer:

≈ 11.66 units

Step-by-step explanation:

<u>Given points:</u>

  • (-3,5) and (7,-1)

<u>To find:</u>

  • The distance between the given points

<u>The distance between two points is calculated by formula:</u>

  • d= √((x2-x1)² + (y2-y1)²)
  • d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units

<u>Answer is</u> ≈ 11.66 units

8 0
3 years ago
Can anyone help me please? It’s urgent. Worth 20 points!
Arturiano [62]
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6 0
3 years ago
What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?
vlabodo [156]
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2....the slope here is 2/3. A parallel line will have the same slope

y = mx + b
slope(m) = 2/3
(9,-3)...x = 9 and y = -3
now we sub and find b, the y int
-3 = 2/3(9) + b
-3 = 6 + b
-3 - 6 = b
-9 = b

so ur parallel equation is : y = 2/3x - 9 <== or 2x -3y = 27
6 0
3 years ago
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Change 240 to radian measure in terms of pi
Vera_Pavlovna [14]
To change a degree measure to a radian measure, we multiply by (π/180). So 360° becomes 2π radians, and 240° becomes 4π/3.
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