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kkurt [141]
3 years ago
13

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn

ows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?
Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

(6 , 29/8)

Step-by-step explanation:

Let divide the segment into 8 equal parts (since 3 (CE) + 5(ED) = 8)

(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit

(3 - 4) / 8 = -1/8. So each y-segment shall be -1/8 unit.

CE will represent 3/8 of the relative line.

Ex = 3 + 1 * 3 = 3 + 3 = 6

Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8

(6 , 29/8) is the final answer  

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3y - 21 = 12x<br> Help please
Irina18 [472]
Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
Y=7+4X

Simplifying
Y=7+4x
I hope this helps!! :)
3 0
3 years ago
WILL GIVE BRAINLIEST
brilliants [131]

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

7 0
3 years ago
If g(x)= -(3/(4x)) , find g(g(x)) please show work.
ivann1987 [24]

Answer:

g(g(x)) = x

Step-by-step explanation:

g(x) = -\dfrac{3}{4x}

g(g(x)) = -\dfrac{3}{4g(x)}

g(g(x)) = -\dfrac{3}{4(-\frac{3}{4x})}

g(g(x)) = -\dfrac{3}{4} \div (-\frac{3}{4x})

g(g(x)) = -\dfrac{3}{4} \times (-\frac{4x}{3})

g(g(x)) = \dfrac{3 \times 4x}{4 \times 3}

g(g(x)) = x

4 0
3 years ago
Read 2 more answers
If Quadrilateral JKLM is a square, where points J(-6, 0), K(?, ?), L(9, -1) and M(2, 7) are known. Find the coordinates of point
mixer [17]

Answer:

-1 -8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the area of the larger triangle
Arte-miy333 [17]

Answer:

A= 120ft^2

Step-by-step explanation:

In the smaller triangle the base is 10. The larger is twice as much as that base. So the height must be twice as much as the smaller (6 x 2 = 12)

b=20

h=12

SO..

A= bh/2

20(12)/2

240/2

A=120

Hope this helped!!!

7 0
3 years ago
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