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3 years ago

Find the value of x for which x²-3x - 10 /x² + 12x + 36is equal to zero, undefined

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

x= -6 twice

Step-by-step explanation:

x^2-3x-10/x^2+12x+36

By using undefined fraction we only take the denominator and equate it to 0

x^2+12x+36=0

x^2+6x+6x+36=0

(x^2+6x)+(6x+36)=0

x(x+6)+6(x+6)=0

(x+6)(x+6)=0

x+6=0 or x+6=0

x= -6 or x= -6

therefore x= -6 twice

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The total age of two sisters is 108 years

tester [92]

Answer:

7 : 5

Step-by-step explanation:

let the age of the younger be x , then the older is x + 18, thus

x + x + 18 = 108, that is

2x + 18 = 108 ( subtract 18 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Thus younger is 45 and older is 45 + 18 = 63

ratio older : younger = 63 : 45 = 7 : 5

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3 years ago

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3 years ago

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Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom

bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

$Speed = \dfrac{Distance}{Time}$

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

$(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)$

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

$(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)$

Adding (1) and (2) to solve for u and v:

$2u = 2240\\\Rightarrow u = 1120\ km/h$

Putting u in (1):

$1120-u=940\\\Rightarrow u = 180\ km/h$

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

6 0

3 years ago

Find the value of x for which x²-3x - 10 /x² + 12x + 36is equal to zero, undefined​

Find the value of x for which x²-3x - 10 /x² + 12x + 36is equal to zero, undefined