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3 years ago

The lines below are parallel. If the slope of the green line is -2, what is the slope of the redline?

Mathematics

1 answer:

scoray [572]3 years ago

3 0

D. -2, if the lines are parallel then the slope is the same but the y-int is different

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Rewrite the function by completing the square. 4x^2-4x+1=0

andrey2020 [161]

Do in completing the square method.

${4x}^{2} - 4x + 1 = 0 \\ 4x^{2}-4x=-1 \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4} \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4} \\ x^{2}-x=\frac{-1}{4} \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2} \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4} \\ x^{2}-x+\frac{1}{4}=0 \\ \left(x-\frac{1}{2}\right)^{2}=0 \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}$

Now simplify.

$x-\frac{1}{2}=0 \\ x-\frac{1}{2}=0 \\ \\ \rightarrow \: x=\frac{1}{2} \\ \rightarrow \: x=\frac{1}{2}$

So, answer is..

$\boxed{x=\frac{1}{2} }$

Now rewrite the equation.

$4 x ^ { 2 } - 4 x + 1 = 0 \\ \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 }$

Verification :-

$4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-\frac{4}{2}+1=0 \\ 1-2+1=0 \\ -1+1=0 \\ \underline{ 0 = 0} \: \\ \dashrightarrow \text{true}$

3 0

3 years ago

In a sale, all the prices are reduced by 25%. Julie sees a jacket that cost $32 before the sale. How much does it cost in the sa

irinina [24]

Answer:

$24

Step-by-step explanation:

25 percent of 32 is 8

32-8 is 24

so its 24 dollars after the sale has been added

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3 years ago

Find the tenth term in each sequence

ozzi

Where’s the sequence?

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3 years ago

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The 22 students in Mr. Byers 6th grade class each donated $5.00 for Mr. Byers' end of year gift. When Jessica went to purchase t

Advocard [28]

Answer:

$140.00

Step-by-step explanation:

22 students x $5.00 + $30

22 x $5.00 = $110.00

$110.00 + $30.00 = $140.00

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3 years ago

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During his hockey career, Gordie Howe played 1,767 NHL regular season games, scoring 801 goals and making 1,049 assists. If goal

k0ka [10]

Goals and assists = 1 point

801 + 1049 = 1850

So those are his total points.

His total games are 1767.

Points per game = Total Points/ Total Games

Points per game = 1850/1767

Points per game = 1.05

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3 years ago