Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:
where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as 
.
We can plug that definition of w into the perimeter equation to find the length:
Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:
So the width is 18
Answer:
36.45
Step-by-step explanation:
tan 32 = a/35
x = 23.1
tan 70 = b/23.1
y = 28.2
x^2 = a^2+b^2
= 23 .1^2 + 28.2^2
= 36.45
5x-8y=1...(1)
3x+6y=-21...(2)
(1)*3:
15x-24y=3...(3)
(2)*5:
15x+30y=-105...(2)
(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
Answer:
x + 2
Step-by-step explanation:
If we know one of the factors, we should be able to use long division.
We can divide the trinomial by the binomial and find the other factor.
<u>x + 2</u><u> </u>
x² + 4x + 3)x³ + 6x² + 11x + 6
<u>x³ + 4x² + 3x</u>
2x² + 8x + 6
<u>2x² + 8x + 6</u>
0
Thus,
Step-by-step explanation:
3x+2y=2------------1
-3x+5y=5-----------2
adding 1 and 2 we get
7y=7
y=1
and from (1),we get
3x+2×1=2
3x=0
x=0 is the required value of x.
