( x-5 ) (x + 6 )
multiply
X times X + 6x - 5x - 5 times 6
connect like terms
x squared + 6x - 5x - 30
Answer is
x squared + x - 30
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
This means that everybody answered the same number of items. This means that every data value is equal to the mean. This outcome permits us to say that the sample standard deviation of a data set is zero if and only if all of its values are same or identical.
If it has 3 sides then it's a triangle.
Using the formula
where
and a=5 b=5 c=8
∴
Answer: 27.42 cm squared
explanation: separate the figure into three simple shapes (2 triangles, 1 rectangle)(picture of the three shapes attached)
solve for area of each shape
trangles: 1/2 x b x h
1/2 x 1.1 x 4.8 = 2.64
1/2 x 1.2 x 5.9 = 3.54
rectangle: l x w
3.6 x 5.9 = 21.24
finally, add all parts and you have your answer.
2.64 + 3.54 + 21.24 = 27.42
