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emmasim [6.3K]
3 years ago
13

If point B is translated 3 units right and 4 units up what are the coordinates of the new point

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

New point co-ordinate will be = (x + 3 , y +4)  

Step-by-step explanation:

Let the given co-ordinate of any pointy on graph be ( x , y)

Now if we shift the point (B) , then graph will also shift,

As per question , point (B) translated 3 unit right and 4 unit up,

So, the new point will formed as (x + 3) and (y + 4) .

Hence New position of point B is (x + 3) , (y + 4)    Answer

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XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3
nataly862011 [7]
<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = \frac{1}{2} x b x h      -------------(i)

Where;

A = 18\sqrt{3}

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18\sqrt{3} =  \frac{1}{2} x b x 6

18\sqrt{3} =  3b

<em>Divide through by 3</em>

6\sqrt{3} =  b

Therefore, b = XZ = 6\sqrt{3}

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}

\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}

\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}

\frac{1}{12}  = \frac{1}{2|OZ|}

\frac{1}{6} = \frac{1}{|OZ|}

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0
3 years ago
HELP HELP PLEASE I NEED HELP
dimaraw [331]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • PEMDAS
<h3>tips and formulas:</h3>

order of PEMDAS

  1. parentheses
  2. exponent
  3. multiplication or
  4. division
  5. addition
  6. subtraction
  • left to right
<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>
  1. <u>\sf simplify  \: divition:  \\  \tt 14 + 33 + 0.4</u>
  2. <u>\sf simplify \: additio n :  \\  \tt 47.4</u>
<h2><u>≠R.H.S</u></h2>

therefore

<h3>the equality is false</h3>

8 0
3 years ago
The sum of 2 numbers is 46. One number is 12 more than the other. What are the numbers?
harkovskaia [24]

Answer:

two numbers are 29 and 17

Step-by-step explanation:

let the number be x

12+x+x=46

2x=46-12

x=34/2

x=17

another number is 12+x

12+17

29

5 0
3 years ago
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The event of walking your dog is A and the event of electing a female as class president is B. If these events are independent e
KengaRu [80]

The value of the probability is 0.54

<h3>How to determine the probability?</h3>

The given parameters are:

P(A) = 0.35

P(B) = 0.54

From the question, we understand that the events are independent.

This means that

P(B|A) = P(B)

Substitute P(B) = 0.54

P(B|A) = 0.54

Hence, the value of the probability is 0.54

Read more about probability at:

brainly.com/question/11234923

#SPJ1

3 0
2 years ago
ReWarding Brainly foR correct Answer
serious [3.7K]

Answer:

1 and 4 are statistical questions

Step-by-step explanation:

4 0
3 years ago
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