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2 years ago

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Kayla is building a custom frame using reclaimed wood. She needs the frame to be 14 1/2 inches wide by 9 1/4 inches long. She ha

s two pieces of wood which are 18 inches long and two pieces which are 12 inches long. How much extra wood will she have?

1 answer:

Alborosie2 years ago

6 0

She will have 6 and 1/4 inches of wood left. 23 3/4 - 30 is 6 1/4.

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5<-3x+8 solve and graph the question

bearhunter [10]

Answer:

x<1

Step-by-step explanation:

5<-3x+8 ⇒3x<8-5⇒3x<3⇒x<1

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2 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al

Alla [95]

Let's rewrite each equation in the Slope-Intercept Form of the Equation of a Line. First, let's start with the main equation:

$\bullet \ 5x-2y=-6 \therefore y=\frac{5}{2}x+3$

Then, our options are the following:

$A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \therefore y=-\frac{2}{5}x-2 \\ \\ C) \ 2x-5y=-10 \therefore y=\frac{2}{5}x+2 \\ \\ D) \ y+4=-\frac{2}{5}(x-5) \therefore y=-\frac{2}{5}x-2 \\ \\ E) \ y-4=\frac{5}{2}(x + 5) \therefore y=\frac{5}{2}x+\frac{33}{2}$

For two perpendicular lines it is true that the product of its slopes is:

$m_{1}m_{2}=-1$

$m_{1}m_{2}=-1 \\ \\ m_{1} \ is \ the \ slope \ of \ y=\frac{5}{2}x+3, \ that \ is, \ m_{1}=\frac{5}{2} \\ \\ Then, \ the \ slope \ of \ a \ perpendicular \ line \ is: \\ \\ m_{2}=-\frac{2}{5}$

According to this, only A) B) and D) might be the perpendicular lines we are looking for. Notice that these lines are the same. The other condition is that the line must pass through the point (5, -4). By substituting this point in the equation, we have:

$y = -\frac{2}{5}x-2 \\ \\ -4=-\frac{2}{5}(5)-2 \\ \\ -4=-2-2 \\ \\ \boxed{-4=-4} \ True!$

Finally, the right answer are:

$A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \\ \\ D) \ y+4=-\frac{2}{5}(x-5)$

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2 years ago

Read 2 more answers

What is 22/36 in lowest terms

daser333 [38]

22/36 simplified is 11/18. I hope this helps. Tell me if you need an explanation! : )

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2 years ago

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Simplify:<br> (−5)^5/(−5)^−6<br><br><br> Please also explain your answer. Thanks!

Afina-wow [57]

Answer:

-5^11

Step-by-step explanation:

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2 years ago

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The reciprocal of 16 in a fraction

Varvara68 [4.7K]

Answer:

The reciprocal of 16 is 1/16

Step-by-step explanation:

The reasoning for this is that the reciprocal of any number is the opposite of it.

Another example would be: The reciprocal of 1/2 would be 2/1

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2 years ago