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3 years ago

How should I solve this? I tried to but I couldn't get past the quadratic formula.

Mathematics

1 answer:

xxMikexx [17]3 years ago

8 0

First multiply all terms by z
8-z^2=4z

Then order into standard form
-z^2-4z+8=0

Multiply the equation by -1
z^2+4z-8=0

Plug into quadratic equation
-4±√16-4(-8)
-4±√48

(-4±4√3)/2
-2±2√3

Final answer: z=-2± 2√3

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Answer: 1,000

Step-by-step explanation:

The height of 10 stacks of books would be a 1,000 because if it's 0.3 thick between covers of 200 sheets then 10 books would be a 1,000.

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3 years ago

The equation y−5=−2(x−3) is in point-slope form. Which shows this equation in slope-intercept form?

MAXImum [283]

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3 years ago

Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

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3 years ago

Read 2 more answers

PLEASE HELP. I WILL MARK BRAINLIEAST!!

emmainna [20.7K]

There’s technically two answers, you could put Angles 3 and 6, or Angles 7 and 2

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3 years ago

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A board is 24 ft. long and is cut into two parts. If one piece is twice the length of the other, find he length of both pieces.

topjm [15]

2x + x = 24

so x = 24/3 = 8 ft. (smaller length)

2x = 16 ft. (larger length)

3 0

3 years ago