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3 years ago

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Match each quadratic equation with the best way to solve it. 1. 5x2 + 12x - 3 = 0 solve by square root method 2. x2 - 4x = 8 sol

ve by quadratic formula 3. 4x2 - 25 = 0 solve by completing the square 4. x2 - 5x + 6 = 0 solve by factoring

1 answer:

Ksivusya [100]3 years ago

8 0

<span>The best way to solve each equation is:

</span> 1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula
2) 4x2 - 25 = 0 -----------> solve by square root method
3) x2 - 5x + 6 = 0 --------> solve by factoring
4) x2 - 4x = 8 -------------> solve by completing the square

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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a

Inga [223]

Answer:

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

$O'(x,y) = O(x,y) + T(x,y)$ (1)

Where:

$O(x,y)$ - Original point, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$O'(x,y)$ - Translated point, dimensionless.

If we know that $A'(x,y) = (1, -5)$ and $A(x,y) = (4,-2)$ , then the translation vector is:

$T(x,y) = A'(x,y)-A(x,y)$ (2)

$T(x,y) = (1,-5)-(4,-2)$

$T(x,y) = (-3,-3)$

If we know that $B(x,y) = (7,-4)$ , $C(x,y) = (2,-5)$ and $T(x,y) = (-3,-3)$ , then the translated points are, respectively:

$B'(x,y) = B(x,y)+T(x,y)$ (3)

$B'(x,y) = (7,-4) +(-3,-3)$

$B'(x,y) = (4, -7)$

$C'(x,y) = C(x,y) +T(x,y)$

$C'(x,y) = (2,-5) + (-3,-3)$

$C'(x,y) = (-1, -8)$

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

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3 years ago

Use a protractor to find the measure of each angle in the circle

zzz [600]

You need to show us the circle in order to let us answer the question.

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3 years ago

Does anyone know the answer to this?

mr Goodwill [35]

Answer:

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3 years ago

Please help me out on this question

Mariulka [41]

At x=2, y=4

At x=4, y=16

So the total change in y from x=2 to x=4 is 16-4=12

And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6

Hope that helps. Let me know if you have any questions.

7 0

3 years ago

777dan777 [17]

Answer:

There would be 94 tiles.

Step-by-step explanation:

The number of tiles is given by the following equation:

$n = 6 + 4p$

In which p is the current position.

How many tiles would there be in position 22?

This is n when $p = 22$ . So

$n = 6 + 4*22 = 6 + 88 = 94$

There would be 94 tiles.

8 0

3 years ago