Answer:
1. <em>d</em> - 6 ft
where <em>d</em> is the width
2. <em>t</em> + 6 h/week
where <em>t</em> is the amount of time per week Theodore studies
3. <em>t’</em> - 6 a
where <em>t’</em> is Tracy’s age
4. (<em>k</em>/3) - 2
where <em>k</em> is the points that the panthers scored
Step-by-step explanation:
Write the variable and do the operations as described!
“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.
diagonal = sqrt(l^ + w^2)
17 = sqrt(10^2 + x^2)
17^2 = 10^2 + x^2
289 = 100 + x^2
189 = x^2
x = sqrt(189) = 13.747
X = 13.75
width is 13.75 inches
9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
__
Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.
Um, so it's a bit awkward with this question because they actually got the x value incorrect. When they added up all the values, they got 9x - 27 = 180, but it's actually 9x + 27 = 180 because -18 + 45 is positive 27. Anyways, when you solve it correctly you get x = 17, and then you substitute it into the angles. So with 5x - 18, you are saying 5(× 17) - 18 = 67. Then with the other one you do 4(× 17) + 45 = 113. You know that x is definitely 17 because 113 + 67 = 180.
(3,4)(2,-1)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (-1-4) / (2 - 3) = -5/-1 = 5
y = mx + b
slope(m) = 5
u can use either of ur points...(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = 5(3) + b
4 = 15 + b
4 - 15 = b
- 11 = b
so ur equation is : y = 5x - 11 <===
