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True [87]
4 years ago
8

One ordered pair (a,b) satisfies the two equations ab^4 = 12 and a^5 b^5 = 7776. What is the value of 'a' in this ordered pair?

Mathematics
1 answer:
Ivan4 years ago
4 0

Answer:

a = 4.762203156

Step-by-step explanation:

Given:

ab^4 = 12 and a^5b^5 = 7776

Making the equations a subject of a;

a = 12/b^4 and a^5 = 7776/b^5

Finding fifth root on both sides of equation two;

a = \sqrt[5]{7776}/b

You will get a = 6/b

Equating the two equations;

12/b^4 = 6/b

Multiplying both sides by b^4 gives:

b = \sqrt[3]{2} = 1.25992105

We had that a = 12/b^4 so;

a = 12/1.25992105^4 = 12/2.5198421 = 4.762203156

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explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as
Sergeu [11.5K]

Answer:

Use a compass to measure the length of AB.

Draw an arc from point B (or point A) with that distance.

Extend line AB through that arc and label the intersection as point C.

AC is twice the length of AB.

6 0
3 years ago
Hi I really need help with this
irga5000 [103]

Answer:

t - 4 ≤ 4

Step-by-step explanation:

Hi I really need help with this

The number line represents t ≤ 8

Since the line is on 8 and moving towards the negative part of the number like (less than)

The equivalent equation will be;

t - 4 ≤ 4

Ads 4 to both sides

t-4+4≤4+4

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Since the solution is similar to the expression above hence t - 4 ≤ 4 is correct

4 0
3 years ago
Choose the correct conic section to fit the equation. X=1/16y^2
arsen [322]

Hello from MrBillDoesMath!

Answer:

Parabola

Discussion:

The equation is x = (1/16) y^2. Multiply both sides by 16 to get

y^2 = 16x is a parabola that "opens to the right". (Looks like y = x^2 rotated clockwise 90 degrees)

Thank you,

MrB


3 0
4 years ago
Experts/ace/trusted helpers
Degger [83]

5.67811 x 3.15576 = 17.918


10^5 x 10^7 = 10^12

 move  the decimal place over in the 1st part to make 1.79 and add 1 to the exponents to make 13

 answer would be 1.791875241e13

8 0
3 years ago
the area of a circle is 96 square inches. What is the area of a circlewhose diameter is 1.5 times the diameter of the circle?
mars1129 [50]
The area of a circle A equals either:
πr² or πd²/4

96 = πd²/4 => d = 11 inches

The diameter of the second circle equals :
11*1.5 = 16.5 inches

The area equals: π(16.5)²/4 = 214 square inches

Good luck
5 0
4 years ago
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