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dexar [7]
3 years ago
11

the area of a square can be quadrupled by increasing the side length and width by 4 inches. what is the side length?

Mathematics
2 answers:
Olenka [21]3 years ago
5 0

Let the original side of the square be x inches.When sides are increased by 4 inches the sides are x+4 inches.

Area of square with side x inches= x^{2}.

Area of square with sides x+ inches=(x+4)^{2}.

According to question:The area of a square can be quadrupled by increasing the side length and width by 4 inches.\

Or 4x^{2}=(x+4)^{2}

Expanding we have:

4x^{2}=x^{2}+8x+16.

Or,3x^{2}-8x-16=0.

Factoring,

(3x+4)(x-4)=0

3x+4=0   or  x=4

x=-\frac{4}{3}. Or x=4.

Sides can not be negative so x=4.

The sides of the square will be 4 inches.


Semmy [17]3 years ago
3 0
The number could be anything because whatever it is it can be quadrupled
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Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16
IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form a_n=a_1+(n-1)d, where,

a_n = nth term of sequence,

a_1 = 1st term of sequence,

n =  Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

1

Let us solve for n.

1

1

1\cdot \frac{16}{3}

5.333

n>5.333

We can also write next terms of our sequence as:

\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0
3 years ago
If x = -6, which inequality is true?
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

-5 - 3(-6) > 10

-5 - -18 > 10

-5 + 18 > 10

13 > 10

3 0
2 years ago
What is the solution to the system of equations?
r-ruslan [8.4K]

Answer:

(4, –2, 1)

Step-by-step explanation:

You have to put in it the calculate and solve the matrix way

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Easy percentages question but im stuck ​
Rina8888 [55]

15 x 1.59 = 23.85

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2.5 x 23.85/ 100 = 0.60

That means she gets approximately 60 cents off her order.

7 0
3 years ago
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Hope this helps.

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