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dangina [55]
2 years ago
7

Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det

ermine the values x and y

Mathematics
1 answer:
Viktor [21]2 years ago
8 0

Answer:

x = \frac{59}{5}

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})

(7,-3) =(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )

(7,-3) = (\frac{5x+32}{13}, \frac{5y+16}{13})

Now

7  = \frac{5x+32}{13}  

5x+32 = 91

x = \frac{59}{5}

and

-3 =\frac{5y+16}{13}

5y + 16 = -39

y = -11

That's the final answer.

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iogann1982 [59]

Answer:

Step-by-step explanation:

4.

a)

P = 2width + 2length

8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length

length = 3x

b)

sides= 1/4 of 3x = 3x/4

perimeter of square = 4* side = 4*3x/4 = 3x

c)

x= 4

P rectangle =8x= 8*4= 32

P square = 3x = 3*4 = 12

32-12 = 20 cm greater is the P rectangle than P of square

d)

A rectangle = 2x*x = 2*4*4 = 32

A square =(3x/4)² = (3*4/4)² = 9

32-9 = 23 cm² greater is the A rectangle than A of square

5.

4Comic+1 Nonfiction

4comic = 8y so 1 comic = 2y

1 nonfiction = (3+7y)+ 2y

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b)

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7 0
3 years ago
Read 2 more answers
PLEASE LET ME KNOW (The answer ; explain if u want to)
Mrac [35]

Answer:

It takes 500 seconds for sunlight to reach Earth.

The mass of the sun is 18.98 * 10^28.

Step-by-step explanation:

Step 1) In order to solve problem number one, you would need to divide. Remember, in math in order to get from the smaller unit to the bigger unit, you divide.

Step 2) In this case, the smaller unit is the distance from the sun to earth. The bigger unit in the other hand, is the speed of light.

Step 3) 1.5 * 10^11/300,000,000 = 500

Answer: It takes 500 seconds for sunlight to reach Earth.

—

Step 1) In order to solve problem number 2, convert 26,000,000 in scientific notation which is 2.6 * 10^7.

Step 2) Now, multiply the mass of the sun by the mass of the moon.

(7.3*10^22) * (2.6 * 10^7)

Step 3) Note: whenver you multiply with exponents, you must always add them, the base remains the same.

10^22 + 10^7 = 10^29

7.3 * 2.6 = 18.98

Answer: To conclude, the mass of the sun is 18.98 * 10^28.

8 0
3 years ago
Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6
MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

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150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

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A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

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x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

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Plan B will cost 60 × 5 = $300

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3 years ago
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LenaWriter [7]

Answer:



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\frac{2}{3} / \frac{2}{1}

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