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Vikentia [17]
2 years ago
5

A piece of rope 27m long is cut into two pieces so that one piece is four-fifths as long as the other. Find the length of each p

iece
Mathematics
1 answer:
nata0808 [166]2 years ago
8 0

Answer:

x+.8x=27

1.8x=27

x=15

4/5(15)=12

So 15 and 12

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
2 years ago
Q: aling conching baiked 24 dozens of macaroons. She reserved of a dozen for her children. How many dozens were left for her to
AveGali [126]

Answer:

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Step-by-step explanation:

4 0
2 years ago
How many inches are in 2miles?
noname [10]

Answer:

2 miles = 126720 (looked it up)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Jude factored 28x2 as (14x)(2x²).
Yuri [45]

Answer:

Only Jude

Step-by-step explanation:

To show 28 x 2  we show 14 x 2 x 2

The x would be cancelled out in this process so x *x would work to enable a product of 56.

8 0
3 years ago
Solve the equation and explain each step using apropriate Properties<br> -4(3x+6)+6=-30
Lina20 [59]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

6 0
2 years ago
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