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Eduardwww [97]
3 years ago
5

The length of a rectangle is 9 cm more then half the width. Find the length of the perimeter is 60cm

Mathematics
1 answer:
stira [4]3 years ago
7 0

length = 1/2 w+9

perimeter= 60 =2(l+w)  

substitute in for length

60 = 2(1/2 w +9 +w)  

60 = 2 (3/2 w +9)

distribute

60 = 3w + 18

subtract 18 from each side

42 = 3w

divide by 3 on each side

14 = w

length = 1/2 w + 9

length = 1/2 (14) +9

              7 + 9

16cm

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19.5

Step-by-step explanation:

The 43rd term of the sequence is 19.5

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name the rational numbers that are not integers from the list below -11,0,57,8.07, sqrt 13, sqrt 4, 2 1/6, -8/45, 1.1919919991..
weqwewe [10]
Sqrt 13 and 1.1919919991... are irrational, meaning that they can't be described in a fraction of one integer over another, like 1/3, 45/44 or 57/107, these numbers are rational. Most irrationals are known constants like e or π, endless non-repeating decimals, or roots of non-perfect numbers like 13, 7, 5 or 2.
4 0
3 years ago
Please simplify the following equation and show how:<br> (2x+2)^3
Natasha_Volkova [10]
<span> </span>

You can use (a+b)2 = a2+2ab+b2.
(2x - 3)2 = (2x)2 + 2(2x)(-3) + (-3)2 = 4x2 - 12x + 9

Or you can use FOIL.

(2x - 3)2 = (2x - 3)(2x - 3) = (2x)2 + (2x)(-3) + (-3)(2x) + (-3)2 = 4x2 - 12x + 9



hope I could be helpful

7 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

4 0
3 years ago
Evaluate................
wolverine [178]

Answer:

h(8q²-2q) = 56q² -10q

k(2q²+3q) = 16q² +31q

Step-by-step explanation:

1. Replace x in the function definition with the function's argument, then simplify.

h(x) = 7x +4q

h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q

__

2. Same as the first problem.

k(x) = 8x +7q

k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q

_____

Comment on the problem

In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...

h(8q² -2q) = 56q² -14q +4z

and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.

In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.

7 0
3 years ago
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