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3 years ago

(2+4x)(2-4x) How can I solve it

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

Answer:

The solutions are x = -1/2 and x = 1/2

Step-by-step explanation:

(2+4x)(2-4x)

We can use the zero product property to solve this

(2+4x)(2-4x)=0

The we set each term = 0

2+4x =0 2-4x =0

Subtract 2 from each side

2-2+4x = 0-2 2-2-4x = 0-2

4x = -2 -4x = -2

The divide the left equation by 4 and the right equation by -4

4x/4 = -2/4 -4x/-4 = -2/-4

x = -1/2 x = 1/2

The solutions are x = -1/2 and x = 1/2

EleoNora [17]3 years ago

6 0

Subtract both by 2
answer

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Use the quadratic formula to solve each equation.

Elden [556K]

Answer:

1) $x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}$

$x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}$

2) $x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}$

$x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}$

3) $p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}$

$p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}$

4) $y_1 = \frac{-3 - 9}{4}=-3$

$y_2 = \frac{-3 + 9}{4}= \frac{3}{2}$

Step-by-step explanation:

The quadratic formula is given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

We can use this formula in order to solve the following equations:

1. x^2 − 2x = 12 → a = 1, b = −2, c = −12

For this case if we apply the quadratic formula we got:

$x = \frac{-(-2) \pm \sqrt{(-2)^2 -4(1)(-12)}}{2(1)}$

$x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}$

$x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}$

2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2

For this case if we apply the quadratic formula we got:

$x = \frac{-(-6) \pm \sqrt{(-6)^2 -4(1/2)(-2)}}{2(1/2)}$

$x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}$

$x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}$

3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7

For this case if we apply the quadratic formula we got:

$p = \frac{-(8) \pm \sqrt{(8)^2 -4(2)(-7)}}{2(2)}$

$p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}$

$p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}$

4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9

For this case if we apply the quadratic formula we got:

$y = \frac{-(3) \pm \sqrt{(3)^2 -4(2)(-9)}}{2(2)}$

$y_1 = \frac{-3 - 9}{4}=-3$

$y_2 = \frac{-3 + 9}{4}= \frac{3}{2}$

8 0

4 years ago

Need help with a math question

makkiz [27]

Answer:

b = 17

Step-by-step explanation:

The angle bisector of the apex angle of an isosceles triangle is also a median and altitude. PS=RS=17

b = 17

5 0

3 years ago

Which triangle has an area of 22.5 square units? Circle all that apply

ArbitrLikvidat [17]

Answer:

The triangles in figures A , D have an area of 22.5 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any triangle is A = 1/2 bh , where b is the base of the

triangle and h is the height of this base

- The horizontal line has same y-coordinates of its endpoints

- The vertical line has same x-coordinates of its endpoints

- In the Cartesian coordinates the length of any horizontal line is the

difference between the x-coordinates of its endpoints and the length

of any vertical line is the difference between the y-coordinates of

its endpoints

* Lets solve the problem

# Figure A

∵ The vertices of the triangles are (-5 , 0) , (10 , 0) , (-1 , 3)

∵ the end points of its base are (-5 , 0) , (10 , 0)

∵ The base of the triangle = 10 - (-5) = 10 + 5 = 15 units

∵ The height of the triangle is the difference between the

y-coordinates of its vertex and the y-coordinate of its base

∵ The y-coordinate of the vertex is 3

∵ The y-coordinate of the base is 0

∴ The height of the triangle = 3 - 0 = 3 units

∴ Its A = 1/2 (15)(3) = 22.5 units²

* The triangle in figure A has an area of 22.5 units²

# Figure B

∵ The vertices of the triangles are (-1 , -1) , (-6 , -1) , (-2 , -8)

∵ the end points of its base are (-1 , -1) , (-6 , -1)

∵ The base of the triangle = -1 - (-6) = -1 + 6 = 5 units

∵ The height of the triangle is the difference between the

y-coordinates of its vertex and the y-coordinate of its base

∵ The y-coordinate of the vertex is -8

∵ The y-coordinate of the base is -1

∴ The height of the triangle = -1 - (-8) = -1 + 8 = 7 units

∴ Its A = 1/2 (5)(7) = 17.5 units²

* The triangle in figure B has an area of 17.5 units²

# Figure C

∵ The vertices of the triangles are (-9 , 2) , (-1 , 2) , (-7 , 8)

∵ the end points of its base are (-9 , 2) , (-1 , 2)

∵ The base of the triangle = -1 - (-9) = -1 + 9 = 8 units

∵ The height of the triangle is the difference between the

y-coordinates of its vertex and the y-coordinate of its base

∵ The y-coordinate of the vertex is 8

∵ The y-coordinate of the base is 2

∴ The height of the triangle = 8 - 2 = 6 units

∴ Its A = 1/2 (8)(6) = 24 units²

* The triangle in figure C has an area of 24 units²

# Figure D

∵ The vertices of the triangles are (0 , 0) , (0 , -9) , (5 , -7)

∵ the end points of its base are (0 , 0) , (0 , -9)

∵ The base of the triangle = 0 - (-9) = 0 + 9 = 9 units

∵ The height of the triangle is the difference between the

x-coordinates of its vertex and the x-coordinate of its base

∵ The x-coordinate of the vertex is 5

∵ The x-coordinate of the base is 0

∴ The height of the triangle = 5 - 0 = 5 units

∴ Its A = 1/2 (5)(9) = 22.5 units²

* The triangle in figure D has an area of 22.5 units²

∴ The triangles in A , D have an area of 22.5 units²

7 0

3 years ago

gina is 9 years younger than her sister, bridgette. two years ago, bridgette was twice as old as gina was. how old is gina now?

NeTakaya

I'm gonna say she's 11

8 0

3 years ago

Which expression best estimates <br> ________<br> question in picture <br> 10 points

Contact [7]

Answer:

B: -18 ÷ 3

Step-by-step explanation:

-18 because 1/4 is closer to 18

3 because 2/3 is closer to 3 than 2

Hope This helps! (Edgenunity Sucks!)

6 0

3 years ago