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3 years ago

6

Given the equation S = 2(pi)(r)(h) + 2(pi)(r^2), solve for r by completing the square.

1 answer:

Snowcat [4.5K]3 years ago

7 0

Answer:

s

=

2

π

h

r

+

2

π

r

2

Step-by-step explanation:

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4 years ago

the value of y varies directly with x, and when x = 1/4 , y = 25. What is the value of y when x is 2 1/3 need help ASAP

Grace [21]

Answer:

$y=233\frac{1}{3}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem we have

For $x=1/4, y=25$

Find the value of k (constant of proportionality)

$y/x=k$ -----> $k=25/(1/4)=100$

The linear equation is

$y=100x$

Find the value of y when the value of $x=2\frac{1}{3}$

substitute the value of x in the equation but first convert to an improper fraction

$x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}$

$y=100(\frac{7}{3})=\frac{700}{3}$

convert the result in mixed number

$\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}$

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4 years ago

F(x)=6x^2+10x−1 How many distinct real number zeros does f have?

Nonamiya [84]

Answer:

Here, $D>0$ , hence the quadratic equation has two distinct real roots.

Step-by-step explanation:

Given quadratic equation is $6x^{2} +10x-1$ .

Let, the quadratic equation is $ax^{2} +bx+c$ [where, $a,b,c$ are the constants]

The Discriminant $(D)=b^{2}-4ac$

Case $1$ : $b^{2}-4ac>0$ , if the discriminant is greater than $0$ , it means the quadratic equation has two real distinct roots.

Case $2$ : $b^{2}-4ac$ , if the discriminant is less than $0$ , it means the quadratic equation has no real roots.

Case $3$ : $b^{2}-4ac=0$ , if the discriminants is equal to $0$ , it means the quadratic equation has two real identical roots.

Now,

we have $6x^{2} +10x-1$ , where $a=6,b=10,\ and\ c=-1$

∴ $D=b^{2}-4ac$

$=(10)^{2}-(4\times 6\times\ -1)$

$=100+24$

$= 124$

Here, $D>0$ , hence the quadratic equation has two distinct real roots.

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krek1111 [17]

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this is beacuse you need to make you decimal place your denominator

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