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AfilCa [17]
3 years ago
5

The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

Mathematics
1 answer:
Sav [38]3 years ago
5 0
We can say L as length and W as the width 

L= 3w + 8 

The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation... 

2(3w+8)+2w=88        Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88               Then subtract 16 from each side..
8w=72
w=9

So the width is 9, so we can substitue that into the previous equation, L = 3w+8. 

L=3(9)+8
L=27+8
L=35, W=9



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how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...
Leni [432]
A1=24 
<span>n=500(seq #) </span>
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7 0
3 years ago
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Dmitry [639]
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4 0
3 years ago
Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=z%20%7B%7D%5E%7B%20-%204%7D%20y%20%7B%7D%5E%7B%20-%202%7D%20z%20%7B%7D%5E%7B4%7D%20" id="TexFo
natka813 [3]
.. i just went off of it

6 0
3 years ago
I really need this answer fast
Anika [276]

Answer:

x=3.5

Step-by-step explanation:

6x-1=4x+6

6x-4x=6+1

2x=7

x=3.5

8 0
3 years ago
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