Answer: Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (3, -1)
Focus: (3, - 3/4)
Axis of Symmetry: x = 3
Directrix: y = - 5/4
Step-by-step explanation:
graph{3x/(x^2-1) [-18.02, 18.02, -9.01, 9.02]}
Answer:
8.4 (rounded to 1 dp)
Step-by-step explanation:
1) Identify the number of angles and sides given if you cannot use Pythagoras or SohCahToa.
2) You have 2 angles and 1 side, so you know you must use sine rule: <em>a </em>over sinA =<em> b </em>over sinB
<em>a</em> = side length, sin(A) = angle opposite side
<em>b</em> = side length, sin(B) = angle opposite side
3) This means:
13/sin(90) = x/sin(40)
4) rearrange for x:
x = 13/sin(90) * sin(40)
= 8.356...
5) Round to however many sig figs/dps they're asking for
Example: 1 dp
AB = 8.4
3 sig figs
AB = 8.36
Answer:
See below.
Step-by-step explanation:
Step 1.
Take the absolute value of the negative number.
Now both numbers are positive.
Step 2.
Subtract the smaller positive number from the larger positive number.
Step 2.
The sign of the answer is the same sign as the number with the larger absolute value.
Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
