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zalisa [80]
3 years ago
9

A point G on a segment on a segment with endpoints F(4, 8) and H(10, 12) partitions the segment in a 3:4 ratio. Find G. You must

show all work to receive credit.
This is for Geometry
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Suppose, we are given

two points as

F as (x1, y1)

H as (x2, y2)

assume  it divides  in m/n

we can use formula

G=(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})

now, we are given points as

F=(x1, y1)=(4,8)

x_1=4,y_1=8

H=(x2, y2)=(10,12)

x_2=10, y_2=12

\frac{m}{n} =\frac{3}{4}

so,

m=3,n=4

now, we can find  

x=(\frac{3*10+4*4}{3+4}, y=\frac{3*12+4*8}{3+4})

x=\frac{46}{7} , y=\frac{68}{7}

so, point is

G=(\frac{46}{7} , \frac{68}{7}).................Answer

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Answer:

The solution of an equation is the value that when substituted for the variable makes the equation a true statement. To achieve our goal, we use two principles of equality, the addition principle and the multiplication principle.

Step-by-step explanation:

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3 years ago
Lynn starts with $120 in her savings. Each week her brother gives her $16 to do his homework, which Lynn adds to her savings. Cr
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Answer:

16x+120=Total savings

Step-by-step explanation:

the 16x represents how much money you earn the x is the number of weeks you did the homework and the plus 120 is the base

8 0
2 years ago
Keiko must choose a number between 49 and 95 that is a multiple of 5,8, and 10?
lorasvet [3.4K]
M5: <u>50,55,60,65,70,75,80,85,90,95</u>
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<em>Answer:80</em>
5 0
3 years ago
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Lubov Fominskaja [6]

Answer:

\frac{128\pi}{3} cubic units

Step-by-step explanation:

We are given that a region bounded by a curves x=(y-7)^2

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

(y-7)^2=4

y-7=\pm2

y-7=2  and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h=4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume =\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy

volume=2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy

Volume =2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5

Volume =2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]

Volume=2\pi(-1484+\frac{11476}{3}-3220+900)

Volume =2\pi(\frac{11476}{3}-3804)

Volume =2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}

Hence, volume of resulting solid =\frac{128\pi}{3} cubic units

3 0
3 years ago
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
Veronika [31]
To solve you first need to pick out the most important information,
~Spent 20 minutes 
~Each prob takes 2 minutes
Lets have y be the total time spent, and x the number of probs
(y/2) = x
Hope this helped!! ^-^


6 0
3 years ago
Read 2 more answers
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