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eduard
2 years ago
7

A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the

Mathematics
1 answer:
Art [367]2 years ago
7 0

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

L = 3x + 7

W = 2x

The perimeter of the rectangle is given by:

P = 2W + 2L

94 = 2(2x + 3x + 7)

94 = 10x + 14

x = 8

Now, we can calculate the length of the rectangle:

L = 3x + 7 = 3*8 + 7 = 31        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

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4. Simplify the following using the quotient rule of exponents:
7nadin3 [17]

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

7 0
3 years ago
Two blocks are connected by a very light string passing over a massless and frictionless pulley. The 20.0 N block moves 75.0cm t
Angelina_Jolie [31]
The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus, 
1.22 a = 12.0 - T  (eqn 1)
and for the 20.0 N block: 
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction) 
2.04 a = T - 6.5  (eqn 2) 

[eqn 1] + [eqn 2] → 3.26 a = 5.5 
a = 1.69 m/s² 


Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5 
T = 9.95 N 

Now want the resultant force acting on the 20.0 N block: 
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N 
<span>Units have to be consistent ... so have to convert 75.0 cm to m: </span>

75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m 
<span>work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J</span>
3 0
2 years ago
Which of the following could be the graph of y = –xn where n is odd?
mina [271]

Answer:

Step-by-step explanation:

I think you meant y = -x^n, where ^ denotes exponentiation.

If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV.  This is true of -x, -x^3, -x^5, and so on.

8 0
3 years ago
Use the distributive property to remove the parentheses. -6(11 - 2)​
salantis [7]

Answer:

-66+12 or -54

Step-by-step explanation:

To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).

-6*11=-66

A negative multiplied by a positive is a negative.

-6*-2=12

A negative multiplied by a negative is a positive.

-66+12=-54

7 0
2 years ago
What is the factored form of 2x2 − 7x − 15? (2x + 3)(x − 5) (2x + 5)(x − 3) (2x − 7)(x + 8) (2x + 8)(x − 7)
lesantik [10]
2x^2 - 7x - 15 =
(2x + 3)(x - 5) <==
6 0
3 years ago
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