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mrs_skeptik [129]
3 years ago
10

Standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 cm. How long and wide is a

standard sheet of paper in centimeters
Mathematics
1 answer:
Virty [35]3 years ago
3 0
27.94 cm long, 21.59 long :]
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Factor completely x2 − 36. (1 point)
puteri [66]

Answer:

Solution given:

x²-36

x²-6²

(x+6)(x-6)

is your answer

6 0
3 years ago
A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept<br> form.
trapecia [35]

Answer: y = \frac{1}{4}x - 3 \frac{1}{4}

Step-by-step explanation:

    Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = <em>m</em>x + <em>b</em>

y = (\frac{1}{4})x + <em>b</em>

<em />

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = (\frac{1}{4})x + <em>b</em>

(-2) = (\frac{1}{4})(5) + <em>b</em>

-2 = 1.25 + <em>b</em>

-3 \frac{1}{4} = <em>b</em>

<em />

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = \frac{1}{4}x - 3 \frac{1}{4}

    <em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>

<em>brainly.com/question/13874293</em>

4 0
1 year ago
Read 2 more answers
Write the equation in point slope intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x
Alina [70]

Answer:

y+11=-2/3(x-6)

Step-by-step explanation:

To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).

Point-slope form:

y-y1=m(x-x1) → y+11=-2/3(x-6)

m represents the slope, which is -2/3 in this situation.

y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.

x1 represents the x coordinate, which is 6 in this situation.

8 0
3 years ago
Help Please!!<br> What is the value of a?<br><br> Enter your answer in the box.<br><br> a =
Talja [164]

Answer:

a=15

Step-by-step explanation:

By pythagoras' theorem

25²=20²+a²

625=400+a² group like terms

a²=625-400

a²=225

\sqrt{a {}^{2} }  =  \sqrt{225}

therefore a=15

6 0
3 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
3 years ago
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