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kykrilka [37]
3 years ago
10

The length of a rectangle is 4 more than half the width. Which equation could represent the area of the rectangle in terms of th

e width?
Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

let length be x and breadth be y

by question

L=4×1/2×B

L = 2B

now

Area of rectangle=L×B

2B ×B

2B^2

Is it correct? ,I actually tried to solve it

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Help Not sure .. does anyone have a clue ?
denis23 [38]

Answer:

Step-by-step explanation:

f(x)=2(x+4)(x-1)

=(2x+8)(x-1)

<h3>=2x²-2x+8x-8</h3>

=2x²+6x-8

5 0
2 years ago
Read 2 more answers
The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
Help me plz and show work &lt;3
icang [17]

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

\huge\mathfrak\red{hope \: it \: helps...}

4 0
3 years ago
I need help with #11 plzzz
REY [17]

Answer:

he is correct he might have seen it's 3 times more than 18-29 which is 10% so he just multiplied 45 with 3

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A student’s work to simplify and combine radicals is shown below. Select the statement which best applies to the sample mathemat
jeka94
Your answer is incorrect. You forgot to get the square root of 25 and 4. Answer should be 16√2

we can only subtract radicals that are the same. At first glance, 4√50 - 2√8 are not the same, so they are not likely to be subtracted. However, each radical can still be simplified.

4 √50 = 4 √25 * 2 = 4 * 5 √2 = 20 √2
2 √8   = 2 √4 * 2   = 2 * 2 √2 =   4 √2

Now that the radicals are the same. then you can subtract the numbers.

20 √2 - 4 √2 = 16√2

4 0
3 years ago
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