What is the circumference of a circle with the radius of 5 cm

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

= $6(j^2 - \frac{2}{3} j )+12$

= $$6(j^2 - \frac{2}{3} j + \frac{1}{9} )+\frac{102}{9}$ (Completing Square method)

= $6( j- \frac{1}{3} )^{2} + \frac{34}{3}$

On comparing with the given equation we get

p = - $\frac{1}{3}$ and q = $\frac{34}{3}$

∴ $\frac{q}{p}$ = $\frac{\frac{34}{3} }{\frac{-1}{3} }$

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0

2 years ago

What is the area of a circle with a diameter of 25

PtichkaEL [24]

Answer:

find using calculator:)

Step-by-step explanation:

pie X (25 divided by 2) X (25 divided by 2) = answer

4 0

2 years ago

Read 2 more answers

What percent of 200 is 16?,,,,

Zina [86]

Answer:

8%

Step-by-step explanation:

To find the percent, divide 16 by 200, then multiply it by 100.

(16 / 200) x 100

0.08 x 100

= 8

So, 16 is 8% of 200

8 0

3 years ago

Read 2 more answers

For the equation 2(4+x)+(13+x)=3x+k which value of k will create an equation with no solutions. .A. x B. 3x .C 15 D. 21

Artist 52 [7]

<h3>Answer: choice C) 15</h3>

Simplify the left side to get

2(4+x)+(13+x)

2(4)+2(x) +13+x

8+2x+13+x

3x+21

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So the original equation

2(4+x)+(13+x) = 3x+k

turns into

3x+21 = 3x+k

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Subtract 3x from both sides

3x+21 = 3x+k

3x+21-3x = 3x+k-3x

21 = k

k = 21

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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.

If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then

3x+21 = 3x+k

3x+21 = 3x+15

21 = 15 .... subtract 3x from both sides

The last equation is false, so there are no solutions here.

note: if you replace k with a variable term, then there will be exactly one solution.

6 0

3 years ago

Which is the graph of f(x)=2(3)^x

likoan [24]

Let's plug the values and see which couple satisfy the equation: since $y = 2\cdot 3^x$ , if we plug the values from the first option $(x,y)=(1,6)$ we have