Answer:
x^2 -6x +6
Step-by-step explanation:
<em>Square of a difference (can be found in IM2)</em>
Formula: a^2 -2ab +b^2
x= a; 3= b
(x -3)(x -3)
<em>Plug in to formula.</em>
x^2 -2(x)(3) +3^2
<em>Simplify.</em>
x^2 -6x +6
Answer:
34.6
Step-by-step explanation:
In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side
There is only one formula which have these two sides
tan
tan∅ = opposite ÷ adjacent
tan 38° = 27 ÷ x
x = 27 ÷ (tan 38°)
x = 34.56
x≈ 34.6
Answer:
Step-by-step explanation:
To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.
(7x + 78) - (6x + 73) = 142
Hannah - Sam = Difference
We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:
7x + 78 - 6x - 73 = 142
Then put like terms together
7x - 6x + 78 - 73 = 142
Condense the like terms
7x - 6x = x
78-73 = 5
x + 5 = 142
Then isolate the x by subtracting the 5.
x + 5 (-5)= 142 (-5)
x = 137
Then plug it back into the equation to check and see if your x is correct
(7x + 78) - (6x + 73) = 142
(7(137) + 78) - (6(137) + 73) = 142
(959 + 78) - (822 + 73) = 142
(1037) - (895) = 142
1037 - 895 = 142
Answer:
(.5,3.5) is the center and 4 is the radius
Step-by-step explanation:
(X-0.5)^2+(y-3.5)^2=16
This is written in the form
(x-h)^2 + (y-k)^2 =r^2
where (h,k) is the center and r is the radius
(X-0.5)^2+(y-3.5)^2=4^2
(.5,3.5) is the center and 4 is the radius