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3 years ago

Solutions to the quadratic equation x squared-5x-24=0

1 answer:

3 0

X^2-5x-24=0

A quadratic of the form ax^2+bx+c can be factored by finding values j and k which satisfy two conditions, jk=ac and j+k=b, in this case:

ac=jk=-24 and b=j+k=-5, so j and k must be 3 and -8

Now replace bx with jx and kx in the original equation:

x^2+3x-8x-24=0 and factor 1st and 2nd pair of terms...

x(x+3)-8(x+3)=0 which is equal to:

(x+3)(x-8)=0 so

x=-3 and 8

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In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=

irakobra [83]

Answer:

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

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3 years ago

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A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time. Looking at

aleksklad [387]

Answer: 2.4

Step-by-step explanation:

Given : A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time.

i..e The proportion of the jobs it bids on are finished within the bid time: p = 30%= 0.30

Sample size of jobs that it has contracted : n= 8

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4 years ago

14x = -22 - 5y 5x = 60 + 5y Enta

Kazeer [188]

Answer:

x=2 y=-10

Step-by-step explanation:

14x =-22-5y eq---1

5x= 6 =5y eq --- 2

Subtract eq 1 from eq 2 we get the value of x

x= 2

put x = 2 in equation 1

14 x = -22 - 5y

14 (2) = -22 - 5y

28 =-22 - 5y

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3 years ago

48 + 32 written as a product of two factors

masha68 [24]

Answer:

12x5 or 16x(3+2)

Step-by-step explanation:

You can factor out 16 and get 16x(3+2). Both are factors of 48+32 because 3+2 is 5 and if you do 32+48 you get 60 which can be factored by 5. Or you can add them first to get 60 and then factor out 12 to get 12x5. Hope this helps!

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3 years ago

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of

Jet001 [13]

Answer:

900 cubic inches.

Step-by-step explanation:

Given the following data

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

$V = \frac{1}{3} \pi r^{2}h$

Where;

V is the volume of right circular cone.

r is the radius of the base of the right circular cone.

h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

$V = \pi r^{2}h$

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

$V = \frac{1}{3} \pi r^{2}h * 3$

Substituting into the equation, we have;

V = 300 * 3

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.

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3 years ago