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2 years ago

10

A _____________ exists between two variables when the values of one variable are somehow associated with the values of the other

variable.
a. difference
b. causation
c. inference
d. correlation

1 answer:

zysi [14]2 years ago

4 0

Answer:

Step-by-step explanation:

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Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

2 years ago

Will give brainliest

natima [27]

Answer:

36 in

Step-by-step explanation:

4*3=12, 12*3=36. also plz give me brainliest.

3 0

2 years ago

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Pentagon ABCDE is a regular polygon. The length of side BC is represented by 3x - 4. The length of side DE is represented by the

dimulka [17.4K]

Answer:

Length of side AB = 5

Step-by-step explanation:

A regular polygon is one in which all angles are equal and all the sides have the same length.

Now, it means that;

AB = BC = CD = DE = AE

We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.

Thus, from equal length of sides of a regular polygon, we have;

3x - 4 = 4x - 9

4x - 3x = 9 - 4

x = 5

Thus, length of BC = 3(5) - 4 = 15 - 4 = 11

Therefore, Length of AB = 5

5 0

2 years ago

Rectangle A’B’C’D is the image of rectangle ABCD after a diliation what is the scale factor of the diliation

PSYCHO15rus [73]

Rectangle A’B’C’D’ has a scale factor of 2 because it is two times bigger then the original rectangle ABCD after the dilation.

4 0

2 years ago

Which ordered pair is a solution to the system of equations?

mixer [17]

(2x - y = -2)2
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)

6 0

2 years ago

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