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3 years ago

Which ordered pair is a solution to the equation y = 6x - 4?

Mathematics

1 answer:

nevsk [136]3 years ago

5 0

y= 2 and x= 1
because 6 * 1 = 6
6 - 4 = 2

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A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t

Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

$(x-h)^2+(y-k)^2=r^2$ , where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

$(x^2+18x)+(y^2+14y)=-105$

For the first section, complete the square for $x^2+18x$ :

$x^2+18x+81-81$

$(x+9)^2-81$

Do the same for the second:

$y^2+14y$

$y^2+14y+49-49$

$(y+7)^2-49$

All together:

$((x+9)^2-81)+((y+7)^2-49)=-105$

$(x+9)^2+(y+7)^2-130=-105$

$(x+9)^2+(y+7)^2=25$

The center is (-9,-7).

The radius is $\sqrt{25}=5$

5 0

3 years ago

Which expressions are equivalent to 12x - 6?

iren2701 [21]

<h3>Answer</h3>

B and E

<h3>Explanation</h3>

A) It's wrong because

$- 6 \times (2x - 1) = - 12x + 6$

B) It's right because

$6 \times (2x - 1) = 12x - 6$

C) It's wrong because

$6x \times (2 - 1) = 6x \times 1 = 6x$

D) It's wrong because

$- 6x \times (2x - 1) = - 12 {x}^{2} + 6$

E) It's right because

$- 6 \times ( - 2x + 1) = 12x - 6$

F) It's wrong because

$6 \times ( - 2x + 1) = - 12x + 6$

8 0

3 years ago

Can someone help me please

Fudgin [204]

Answer:

The answer is D

Step-by-step explanation:

1/8 is the equivalent to 0.12

square root of 0.02 is 0.14

18% is equal to 0.18

3 0

3 years ago

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If AC=36 and BC= 18, find AD. Round to the nearest tenth, if necessary.

navik [9.2K]

Answer:

C. 27

Step-by-step explanation:

5 0

3 years ago

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Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos

meriva

Answer:

Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

the vertical stretch factor is 6

7 0

3 years ago