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balu736 [363]
4 years ago
13

the width of a rectangle is 15 units less than the length. if the area is 76 square units, then find the dimensions of the recta

ngle
Mathematics
1 answer:
Lelu [443]4 years ago
6 0
W = L - 15
WL = 76

(L-15)L = 76

L^2 - 15L - 76 = 0
(L-19)(L+4) = 0

L = 19 or -4
Since a length cannot be negative, the length must be 19 units.
The width is 19-15=4 units.
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4 years ago
A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How man
JulsSmile [24]

Answer:

2520 ways

Step-by-step explanation:

We can solve this problem with 3 combinations:

First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120

Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21

The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.

Now we just need to multiply the combinations to find the result:

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7 0
3 years ago
The line x − y = 2 is on a coordinate plane and contains EF, which is one side of square EFGH. What is the slope of the line tha
Alborosie

Answer:

The slope of FG is -1

Step-by-step explanation:

Given

Square EFGH

EF: x - y = 2

Required

Determine the slope of FG

First, we calculate the slope of EF

x - y = 2

Make y the subject

-y = 2 - x

y = x -2

The general equation has the form: y = mx + b

Where

m = slope

Compare y = mx + b to y = x -2

m = 1

<em>From the name of the square EFGH, we can conclude that EF and FG are perpendicular</em>

<em />

The relationship between perpendicular lines is:

m_2 = -\frac{1}{m_1}

Where

m_1 = m = 1 -- Slope of EF

and

m2 = slope of FG

Substitute 1 for m1 in m_2 = -\frac{1}{m_1}

m_2 = -\frac{1}{1}

m_2 = -1\\

<em>Hence, the slope of FG is -1</em>

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3 years ago
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Answer:

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6 0
4 years ago
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vodomira [7]

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Option D is correct option

Step-by-step explanation:

We need to find the equivalent to the given expression:

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Option D is correct option

Learn more about complex numbers at:

brainly.com/question/10736268

brainly.com/question/4678474

Keywords: Complex Numbers

#learnwithBrainly

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