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mr_godi [17]
4 years ago
9

A rectangle has an area of 96 cm2 The length of the rectangle is 4 cm longer than the width. Work out the length and width of th

e rectangle.
Mathematics
1 answer:
Svetach [21]4 years ago
3 0
Area of a rectangle: 2(L+W)
length: 4+W

Area: 2(4+W) + 2W = 96
8+2W+2W = 96
8+4W = 96
4W = 88
W= 22cm

Calculate for length: 2L + 2(22) = 96
2L + 44 = 96
2L = 52
L = 26cm

• The length is 26cm and width is 22 cm.
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3 years ago
How many ways can 6 people sit on a bench if 3 of them have to sit side by side
pickupchik [31]

Answer:

144 ways

Step-by-step explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

4 0
3 years ago
Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?
olganol [36]

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

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Now we replace b with -1.

y = (1/3)x - 1

8 0
3 years ago
Please Help Me ASAP I Need <br> This For My grade
mel-nik [20]

Answer:

\huge slope \: of \: the \: graph =  \tan( \alpha )  =  \frac{perpendicular}{base}  =  \frac{(value\:of\: y-axis)}{(value\:of\:x-axis)}  =  \frac{1}{ - 1}  =  - 1

<h2>-1 is the right answer.</h2>
5 0
3 years ago
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

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3 0
3 years ago
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