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tatiyna
3 years ago
13

The length of a rectangle is 3 times it's width. The difference between the length and width is 8 feet. Determine the rectangles

length
Mathematics
1 answer:
zvonat [6]3 years ago
3 0
Length=3w
width=w
Length-width=8
3w-w=8
2w/2=8/2
w=4
length=3×4=12
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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3
ArbitrLikvidat [17]
ANSWER

\boxed {( \frac{1}{2} , 1)}

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})

Using L(0,-3),N(1,5) gives,

(\frac{0+1}{2}, \frac{ - 3+5}{2})

(\frac{1}{2}, \frac{ 2}{2})

(\frac{1}{2}, 1)

Or we could have also used,M(-2,1),O(3,1) to get,

(\frac{-2+3}{2}, \frac{ 1+1}{2})

(\frac{ 1}{2}, \frac{ 2}{2})

(\frac{ 1}{2}, 1)

The correct answer is C

6 0
3 years ago
Can someone help pls​
scZoUnD [109]

Answer:

8) 10 m 9) 26 in 10) 51 m 11) 50 ft 12) 19.4 cm 13) 177.9 m 14) 40 15) 12 16) 14.7 17) 12.1

Step-by-step explanation:

You may solve the problems by using the Pythagorean Theorem which states that c^2 = a^2 + b^2, or in other words, the hypotenuse squared is equal to the sum of the legs squared.

Hope this helps! :-)

3 0
3 years ago
Express in simplest radical form.<br> \frac{\sqrt{96}}{2}
Gelneren [198K]

Answer:

\frac{ \sqrt{96} }{2}  =  \frac{ \sqrt{16 \times 6} }{2}  =  \frac{4\sqrt{6} }{2}  = \boxed{2 \sqrt{6}}\\

<h3><em><u>2√6</u></em> is the right answer.</h3>
8 0
3 years ago
when you sign up for video games are you get 400 points you earn 50 more points for each hour that you play how many hours do yo
aleksandr82 [10.1K]
This is a linear equation
y=mx+b
y=50x+400 (when x equals the number of hours played)

1000=50x+400
*first, isolate the variable (x)
-50x=-1000+400
*divide by -50 to get x by itself
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The answer is x=28
4 0
3 years ago
Read 2 more answers
I need help with this, please. Any advice would be appreciated.
mote1985 [20]

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

S_{n} = \frac{n}{2} [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

S_{8} = \frac{8}{2} [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

8 0
4 years ago
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