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Sati [7]
3 years ago
11

The width of a rectangle is the sum of the length and 1. The area of the rectangle is 20 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

W=5

Step-by-step explanation:

W=Width=Length + 1

L = Length

Area = Length * Width = 20

Area = L * W = L * (L+1) = 20

Distribute the L:   L^2 + L = 20

Subtract 20 from both sides: L^2 + L -20 = 20-20

Simplify:  L^2+L-20=0

Factor (L-4)(L+5)=0

Solve using the zero property: L-4=0, L=4      L+5=0, L=-5

The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative.   Width is Length + 1 = 5

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Finger [1]

Answer:    c) x = 5

<u>Step-by-step explanation:</u>

2\ log_3\ (x+4)-log_3\ 9=2\\\\2\ log_3\ (x+4)-log_3\ 3^2=2\\\\2\ log_3\ (x+4)-2=2\\\\2\ log_3\ (x+4)=4\\\\log_3\ (x+4)=2\\\\x + 4 = 3^2\\\\x+4=9\\\\\large\boxed{x=5}

3 0
3 years ago
The number 4 is in both the domain and the range of the function A(n).
Pani-rosa [81]

Answer:

False

Step-by-step explanation:

the domain is the set of numbers you can plug in, and the range is what comes out

4 is shown in both ovals, but we see that there is no arrow pointing from the left oval to the 4 in the right oval, meaning that no value in interval [1,5] has a value of 4.

3 0
3 years ago
What is -2xm = 1, for x
Evgesh-ka [11]

Answer:

x = 1/2m

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
Which term can be added to the list so that the greatest common factor of the 3 terms is 12h3
sashaice [31]
The term that can be added to the list so the GCF is 12h3 would be 48h5. 
The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
3 0
3 years ago
Read 2 more answers
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