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LekaFEV [45]
3 years ago
10

length of a rectangle is 4x^2 + 12x and the area of the rectangle is 24x^4 + 72x^3 what is the width of the rectangle

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x  +4  -6x  +4

10x = 10

x = 1

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nirvana33 [79]
Hello the answer is of course 4,5,6
8 0
3 years ago
Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1
geniusboy [140]

Answer:

Step-by-step explanation:

eq. of directrix is y-1=0

let (x,y) be any point the parabola.

then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}

squaring

x²-12x+36+y²-4y+4=y²-2y+1

x²-12 x+40-1=4y-2y

2y=x²-12x+39=x²-12x+36+3

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5 0
3 years ago
A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al
kramer

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

7 0
2 years ago
Write an equation of the line that passes through (4,-6) and is parallel to the line y=-3x-9
murzikaleks [220]

Answer:

y - 7 = 3(x - 3)

y - 7 = 3x - 9

y = 3x - 2

Step-by-step explanation:

Hope this helped you!

5 0
3 years ago
Anyone know how to find the length of x using the 30,60,90 method?
QveST [7]

9514 1404 393

Answer:

  2√5

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

The longest side (x) is 2 times the length of the shortest side (√5), so ...

  x = 2√5

6 0
3 years ago
Read 2 more answers
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