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2 years ago

Rewrite 8y - 1/2 (4y - 16) in a different form

Mathematics

1 answer:

worty [1.4K]2 years ago

4 0

Answer:

8y-2y+8=0

6y+8=0

y=8/6=4/3

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Solve x2 – 7x = –13.

aleksklad [387]

we have

$x^{2} -7x=-13$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -7x+3.5^{2}=-13+3.5^{2}$

$x^{2} -7x+12.25=-13+12.25$

$x^{2} -7x+12.25=-0.75$

Rewrite as perfect squares

$(x-3.5)^{2}=-0.75$

remember that

$i=\sqrt{-1}$

Square root both sides

$(x-3.5)=(+/-)\sqrt{-0.75}$

$(x-3.5)=(+/-)\sqrt{-1*0.75}$

$(x-3.5)=(+/-)\sqrt{0.75}i$

$x1=3.5+\sqrt{0.75}i$

$x2=3.5-\sqrt{0.75}i$

Simplify

$\sqrt{0.75}=\frac{\sqrt{3}}{2}$

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

therefore

<u>the answer is</u>

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

6 0

2 years ago

Read 2 more answers

Solve the two-step equation. 5.1 = –3x – 4.2 1. Add 4.2 to both sides. 2. Divide both sides by -3. The solution is x = _________

Serggg [28]

Answer:

5.1 = -3x - 4.2

-3x - 4.2 = 5.1

-3x = 5.1 + 4.2

-3x = 9.3

x = 9.3/-3

x = -3.1

6 0

3 years ago

Read 2 more answers

I need help with multi step inequalities

vodomira [7]

either

-(3x+3)-2x (less than) -4(x-2)-2

-3x+3-2x (less than) -4x +8-2

-5x+3 (less than)-4x+6

Or if you need it simplified

-5x +3 (less than) -4x+6

+4x 4x

-x+3 (less than) 6

-3 -3

-x(less than) 3

(-x/-1) Less than (3/-1)

x (less than) -3

(didnt have the less than greater than sign so typed it)

6 0

3 years ago

Which of these symbols correctly relates the two numbers below ? Check all that apply 6?6

kari74 [83]

The answer is a my man

6 0

3 years ago

Read 2 more answers

A 47-inch piece of steel is cut into three pieces so that the second piece is twice as

Aneli [31]

Answer:

<h2> first piece: 5 in</h2><h2> second piece: 10 in</h2><h2> third piece: 32 in </h2>

Step-by-step explanation:

x - the length of the <u>first piec</u>e

2x - twice the length of the first piece (the length of the <u>second piece</u>)

6x - six times the length of the first piece

two inches more:

6x+2 - the length of the <u>third piec</u>e

first + second + third = 47 in {total length of the pieces of steel}

x + 2x + 6x + 2 = 47

9x + 2 = 47

9x = 45

x = 45:9

x = 5 in

first piece: 5 in

second piece: 2×5 = 10 in

third piece: 6×5 + 2 = 30 + 2 = 32 in

4 0

2 years ago