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777dan777 [17]
2 years ago
13

the length of a rectangle is 5 meters less than 3 times the width. the perimeter of the rectangle is 14 meters. find the length

and width of the rectangle
Mathematics
1 answer:
morpeh [17]2 years ago
5 0

Answer:

(4+x) + x = 18; 2x=14; x=7; width = 7, length = 11

Step-by-step explanation:

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What is the equation of the line that has an x-intercept of 2 and a y-intercept of 8?
Lunna [17]

Answer:

x-int: (2, 0)

y-int: (0,8)

(8-0)/(0-2)= 8/-2=  -4

y - 0 = -4(x - 2)

y = -4x + 8

Step-by-step explanation:

4 0
3 years ago
I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}

However, traditionally, we want only positive exponents, so this wouldn't be correct.

4 0
3 years ago
Read 2 more answers
Lenny is planning to cut down a pine tree. He has parked his truck 90 feet away from the base of the tree and wants to make sure
Veronika [31]

Well, if the elevation is 45 degrees, the height of the tree and the distance to the truck are the same.


The elevation is more than that, so the distance to the truck is less than the height of the tree. 


The only answer that reflects that is D.

7 0
2 years ago
Read 2 more answers
What is the coefficient of q in the sum of these two expressions?<br><br> (23q – 34) and (–16q – r)
Zigmanuir [339]

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

(23q – 34) and (–16q – r)

and .

(–16q – r)

The sum of the two expressions is

23q - 34 + -16q - r

When we group like terms the expression will be,

=23q - 16q - r - 34

When we  simplify the expression will now be

=7q - r - 34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is therefore 7.

5 0
2 years ago
Several thousand teens were asked one question, "What do you think are the chances you will be married in the next ten years?" T
Readme [11.4K]

Answer:

about 54% of the people surveyed were females

Step-by-step explanation:

to calculate the % of females out of everyone, you need to add everyone up, and then add up only the females.

119+150+447+735+1174+103+171+512+710+756=4877

4877 is the Total number of people surveyed

119+150+447+735+1174=2625

2625 is the total number of females surveyed

so

to convert 2625/4877 to a %, first turn it into a decimal

2625/4877=0.538

now multiply 0.538 by 100

0.538*100=53.8%

so about 54% of the people surveyed were females

7 0
3 years ago
Read 2 more answers
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