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lidiya [134]
3 years ago
12

Write the equation for the circle graphed below.

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

(x -1)^2 + (y+1)^2 = 0.25

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

Where

(h,k) \to center

r \to radius

From the attached graph,

(h,k) = (1,-1)

r = 0.5

So, we have:

(x - h)^2 + (y - k)^2 = r^2

(x -1)^2 + (y--1)^2 = 0.5^2

(x -1)^2 + (y+1)^2 = 0.5^2

(x -1)^2 + (y+1)^2 = 0.25

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Please help!!
KatRina [158]

Answer:

The length of a side of the square is 6.3 units.

Step-by-step explanation:

When given vertices for a given shape, the length of the side is calculated using the formula:

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1 , y1) and (x2 , y2)

Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side

Side AB : A(-2,-3), B(4, -1)

√(x2 - x1)² + (y2 - y1)²

= √(4 -(-2))² + (-1 -(-3))²

= √ 6² + 2²

= √36 + 4

= √40

= 6.3245553203

≈ 6.3 units

B(4, -1), C(2,5),

√(x2 - x1)² + (y2 - y1)²

= √ (2- 4)² + (5- (-1))²

= √-2² + 6²

= √4 + 36

= √40

= 6.3245553203

≈ 6.3 units

C(2,5), D(-4,3).

√(x2 - x1)² + (y2 - y1)²

= √(-4 - 2)² + (3 - 5)²

= √-6² + -2²

= √36 + 4

= √40

= 6.3245553203

≈ 6.3 units

A(-2,-3), D(-4,3).

√(x2 - x1)² + (y2 - y1)²

= √(-4 -(-2))² + (3 - (-3))²

= √-2² + 6²

= √4 + 36

= √40

= 6.3245553203

≈ 6.3 units

4 0
3 years ago
Simplify the expression:<br> -7 + m – 3s +5 - 5m
Anna11 [10]

Answer:

Concept: Algebraic Function

  1. Combine all like terms
  2. -2-3s-4m
6 0
3 years ago
Read 2 more answers
Please help me and I’ll give you brainiest make sure to explain :)
Korolek [52]

Answer:

1. So, it's basically y=mx + b, you put the b first like y= 2/3x -1, and the b is negative, so you go down on the y-axis one time and the 2/3x is rise over run 2 is the rise and 3 is the run.

for y=-x -4 you put a denominator for -x like -1/1x you keep the denominator positive.

2. If the 2x is in the incorrect spot you put it on the other side and it's a positive, so you put is as a negative on the other side, so you're left with

-y=-2x-1, but you can't have a sign on them, so you divide it with -1 and on the other side as well, so it comes down to y=2x+1 and if the x doesn't have a denominator you add a one to it, like this y=2/1x+1 and you put the 1 on the y-axis and its a positive so you go up one time and the rise or run is 2/1, so you start at 1 on the y-axis and you rise 2 times, so 3-axis and run 1 time and it's 1-axis.

For the last one ill do it on paper.

3 0
3 years ago
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?
GrogVix [38]
First find the slope of the given line like this:
5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
y=\frac{-5}{2}x+a and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
4=\frac{-5}{2}(-2)+a 
4=5+a 
a=4-5=-1 
The equation of the line is then the following:
y=\frac{-5}{2}x-1.
3 0
4 years ago
Read 2 more answers
27/32 divided by 7/8
natita [175]

Answer:

27/28

Step-by-step explanation:

27/32 / 7/8, first flip 7/8 to 8/7

27/32 x 8/7 = 27/28

4 0
3 years ago
Read 2 more answers
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