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jonny [76]
2 years ago
8

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internall

y.
Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0

Answer:

The coordinates of the point that divides the line internally in the given ratio is (7,3)

Step-by-step explanation:

To find this coordinates, we use the in renal division formula

we have this as;

(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

(x1,y1) = (4,-3)

(x2,y2) = (8,5)

(m,n) = (3,1)

So, substituting these values, we have ;

(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)

(x,y) = (28)/4, (12/4)

(x,y) = (7,3)

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Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of
kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒56.75 +x - (13.25+5)=87.37

⇒56.75 +x - 18.25=87.37

⇒38.5 +x =87.37

⇒x =87.37-38.5

⇒x =48.87

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.

6 0
2 years ago
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Given that the following statement is true
Makovka662 [10]

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

5 0
2 years ago
Yesterday, 20 guests at a hotel called for room service, and 60 guests did not call for room service. What percentage of the gue
Neko [114]

33.3% is the answer, I think

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HELPPP PLEASE <br> i need a fast reply<br> asking for a friend in need of desperate help :((((
weqwewe [10]

Answer:

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

Step-by-step explanation:

The perimeter of a triangle is the sum of all three sides

3x+2y + 11x+y = 91

Combine like terms

14x +3y = 91

The lines mean the sides are equal

3x+2y = 11x

Simplify

Subtract 3x from each side

3x-3x+2y = 11x-3x

2y = 8x

Divide by 2

2y/2 = 8x/2

y = 4x

Substitute 4x in the first equation every time you see y

14x +3y = 91

14x +3(4x) = 91

14x+12x=91

26x = 91

Divide by 26

26x/26 =91/26

x = 3.5

Now we can find y

y = 4x

y = 4(3.5)

y = 14

We know x and y we can find the length of each of the sides

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

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3 years ago
Solve for x in the equation x2 – 12х+ 36 = 90
Leviafan [203]

Answer:

5

Step-by-step explanation:

90-36=54

54-24=30

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