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N76 [4]
3 years ago
5

The width of a rectangle is the length minus 4 units. The area of the rectangle is 21 units. What is the width, in units, of the

rectangle?​
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

W=L-4\\ \\ L=W+4\\ \\ A=LW\\ \\ A=(W+4)W\\ \\ A=W^2+4W\\ \\ A=21\\ \\ W^2+4W=21\\ \\ W^2+4W-21=0\\ \\ (W+7)(W-3)=0\\ \\ W>0\\ \\ W=3u

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Show work to triangles 2 and 3 explaining why they are right triangles
olganol [36]

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

a^2+b^2=c^2 where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

\sqrt{443}^2+17^2=24^2 which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

\sqrt{725}^2=14^2+23^2 which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

\sqrt{890}^2=19^2+23^2, which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

6 0
3 years ago
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFraction right-parenthes
Alina [70]

Answer:

y-\frac{1}{3}=\frac{3}{4}(x-4)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

point\ (4,\frac{1}{3})

m=\frac{3}{4}

substitute the given values

y-\frac{1}{3}=\frac{3}{4}(x-4)

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

7 0
3 years ago
Read 2 more answers
What is the word form of
jonny [76]
B/12=
b divided by 12
8 0
2 years ago
Please help 15 points
strojnjashka [21]

Answer:

2

Step-by-step explanation:

2x(5+4)=(_x5)+(_x4)

lets start with 2x(5+4)

(5+4)=9

so we are left with 2x9

2x9=18

so now we have 18=(_x5)+(_x4)

lets try 2 for the blank spaces

18=(2x5)+(2x4)

2x5=10

2x4=8

10+8=18

2x(5+4)=(2x5)+(2x4)

It worked! Hope this helps :)

6 0
3 years ago
Read 2 more answers
If the least value of n is 4, which inequality best shows all the possible values of n?
Sladkaya [172]
Comment
If the least value of n is 4 that means that 4 is one of the numbers in whatever it is that you are describing. In other words n = 4 is part of your answer. If that is the case, the last two values are incorrect because 4 is not included in either one of them.

Discussion
So that means that you have to choose between one of the first 2. The key word is least. It means that the lowest possible value is 4. Nothing is lower. 

When you write something like n ≤ 4 what you are saying is the n must be = to or less than 4. The arrow head points to the smallest number which, in this case, is n. 

But the question says that the least number is 4. So the arrowhead must point towards the 4. This we have that n must be larger than 4. 

Conditions
There are 2 conditions to this problem
n must be greater than 4
n can equal 4. It is the smallest number.

Answer
n≥4 <<<<<answer
B <<<<<< answer.
7 0
3 years ago
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