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Tanya [424]
3 years ago
6

A circle has a circumference of 47.1 cm and a diameter of 15 cm.

Mathematics
1 answer:
stira [4]3 years ago
7 0
Circumference/diameter= 47.1/15=3.14
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Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Viefleur [7K]

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

6 0
2 years ago
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110% as a fraction in simplest form
Setler79 [48]

Answer:

It could be 11/10

Step-by-step explanation:

6 0
3 years ago
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"$12 million per year. grow 10% compounded annually over the next 5 years. What will demand be in 5 years?"
Natalka [10]

Compound interest formula:

Amount = starting value x ( 1+ interest rate/compounds per year)^(compound per year x number of years)

Amount = 12,000,000 x (1+ 0.10/1)^(1x5)

Amount = 19,326,120.00

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2y - 4x = 4 Rewrite:
USPshnik [31]

Answer:

y - 2x = 2

Step-by-step explanation:

2y - 4x = 4

2(y - 2x) = 4  | : 2

y - 2x = 2

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3 years ago
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Compare the line passing through the points (–2, –9) and (4, 6) to the line given by the equation y = 25x – 4.
elena-s [515]

Answer:

D. They have the same y-intercep

Step-by-step explanation:

Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .

(–2, –9) and (4, 6)

Gradient= (6--9)/(4--2)

Gradient= (6+9)/(4+2)

Gradient= 15/6

Gradient= 5/2

Choosing (–2, –9)

The equation of the line

(Y+9)= 5/2(x+2)

2(y+9)= 5(x+2)

2y +18 = 5x +10

2y =5x -8

Y= 5/2x -4

Choosing (4, 6)

The equation of line

(Y-6)= 5/2(x-4)

2(y-6) = 5(x-4)

2y -12 = 5x -20

2y = 5x-8

Y= 5/2x -4

From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept

4 0
3 years ago
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