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3 years ago

Use an example to describe the multiplication relationship between two equivalent ratios

2 answers:

4 0

5/10 and 1/2 are both equivalent ratios resulting in half of themselves you can multiply these by any numbers but they will stay as half ratios such as 1:2 x 6 it would be 6:12 divide it by 6 and you have a half

iren [92.7K]3 years ago

4 0

Answer: 6:12

Step-by-step explanation:

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What is the missing constant term in the perfect square that starts with x2 – 12x ?

Dima020 [189]

Answer:

x^2 -12x+36

Step-by-step explanation:

x^2 – 12x

Take the coefficient of x

-12

Divide by 2

-12/2 = 6

Square it

6^2 = 36

We need to add 36 to make x^2 -12x a perfect square trinomial

x^2 -12x+36

8 0

3 years ago

Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0

KATRIN_1 [288]

Via Lagrange multipliers:

$L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)$

$L_x=y+2\lambda x=0$
$L_y=x+2\lambda y=0$
$L_\lambda=x^2+y^2-4=0$

$yL_x=y^2+2\lambda xy=0$
$xL_y=x^2+2\lambda xy=0$
$\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2$
$\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2$

So we have four critical points to consider, $(\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2)$ . If both coordinates are positive or both are negative, we get a maximum value of $(\pm\sqrt2)^2=2$ ; otherwise, we get a minimum of $(-\sqrt2)(\sqrt2)=-2$ .

4 0

3 years ago

A domain of [-4, -2, 1

UNO [17]

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5 0

3 years ago

What is the greatest common factor of 3062, 8062, and 2013?

Zanzabum

One
the gcf all the numbers is 1

6 0

3 years ago

Use a factor tree to find the prime factorization of each number

andre [41]

Let's say you had the number 70.

/ \

10 7

/ \

5 2

Answer: 7,5,2 are your prime numbers

7 0

3 years ago