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3 years ago

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Is it possible to draw a rectangle that has an area of 24 square units and a perimeter of 24 units? Explain

1 answer:

zalisa [80]3 years ago

8 0

Answer:

No for whole number dimensions

Step-by-step explanation:

The area of a rectangle is found using the formula A = l*w. This means for an area of 24 square units the dimensions must be two factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Using each pair of factors, find if any would have a perimeter of 24 too.

1 and 24 has perimeter 50

2 and 12 has perimeter 28

3 and 8 has perimeter 22

4 and 6 has perimeter 20

It is not possible to draw a rectangle with whole number dimensions which will have area and perimeter 24.

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Sorting Quadratic Function Discriminants

nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

discriminant = 0: 1 Real number solution.

discriminant = -36: 0 Real number solutions.

discriminant = 3: 2 Real number solutions.

discriminant = 2: 2 Real number solutions.

discriminant = 100: 2 Real number solutions.

discriminant = -4: 0 Real number solutions.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

discriminant = 0: 1 Real number solution.

discriminant = -36: 0 Real number solutions.

discriminant = 3: 2 Real number solutions.

discriminant = 2: 2 Real number solutions.

discriminant = 100: 2 Real number solutions.

discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

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5 0

1 year ago

What is the 9th term of the geometric sequence 5 -25 125

OLga [1]

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term r : the common ratio

in this exercice : A1 =5 r = 125/-25=-25/5 = - 5 n = 9

A9=5×(-5)^(9-1) = 5×5^8 = 5^9 because : ((-5)^(8)= 5^8)

7 0

3 years ago

Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28

natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequence $a_n=4n-7$ , the parameter $n$ must to be a integer.

Second, we need to solve the equations by $n$ .

$n=(a_n+7)/4$

All the option in the problem represent an $a_n$

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

$n=(29+7)/4=9\\$

For B)

$n=(21+7)/4=7\\$

For C)

$n=(20+7)/4=6.75\\$

For D)

$n=(28+7)/4=8.75\\$

Only A) and B) only A and B meet the requirement

4 0

2 years ago

What is the equation of the line that passes through the point (7,-3) and has an undefined slope?

jeka94

Answer:

x=7

Step-by-step explanation:

3 0

2 years ago

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What is the answer in fraction form: 2(1/3+1/4)

algol13

Answer:

7/6 or 1*1/6

Step-by-step explanation:

3 0

2 years ago

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