701 = 21 + 68w
701-21= 680
680/68=10
w=10
Answer:
x = 20
Step-by-step explanation:
Intersecting Chords Theorem: ab = cd
Step 1: Label our variables
<em>a</em> = x
<em>b</em> = x - 11
<em>c</em> = x - 8
<em>d</em> = x - 5
Step 2: Plug into theorem
x(x - 11) = (x - 5)(x - 8)
Step 3: Solve for <em>x</em>
x² - 11x = x² - 8x - 5x + 40
x² - 11x = x² - 13x + 40
-11x = -13x + 40
2x = 40
x = 20
Let the variable of the equation be x.
Solution of the equation is given to us, hence,
x = -3 and x = 9
x + 3 = 0 and x - 9 = 0
Multiplying,
(x + 3)(x - 9) = x² - 9x + 3x - 27 = x² - 6x - 27
Hence, the linear equation with solution -3 and 9 is x² - 6x - 27.
Answer:
Line b and c
Step-by-step explanation:
Answer:
y = -(x -4)² -5
Step-by-step explanation:
-f(x) is a reflection of f(x) across the x-axis.
f(x) -5 is a translation down by 5 units.
f(x -4) is a translation right by 4 units.
Applying these transformations to y = x² gives, successively, ...
y = -x²
y = -x² -5
y = -(x -4)² -5 . . . . . . the new equation in vertex form
