Answer: The answer is the first choice.
Explanation:
Because you must find the sin of the x values in the table.
Sin(7pi/6) = -1/2
Sin(5pi/4) = -sqrt 2/2
Sin(4pi/3) = -sqrt 3/2
Answer:
<em>The equation of the Parabola</em>
<em>(y - 6 )² = 8 (x -6)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
<u><em>Step(ii):-</em></u>
<em>The equation of the Parabola ( h,k) = (6 , 6)</em>
<em>( y - k )² = 4 a ( x - h )</em>
<em>(y - 6 )² = 4 (2) (x -6)</em>
<em>(y - 6 )² = 8 (x -6)</em>
<u><em></em></u>
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
Answer:
Area of parallelogram: 1/2×h×sum of base lengths
Property of parallelogram: 2 parallel sides
Area = 1/2×4×(9+9)
= 36 cm^2
Answer:
(5,4)
Step-by-step explanation:
-x+2y=3
3x-2y=7
Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.
Divide both sides by 2
To find y, substitute x in for y in one of the equations
add 5 to both sides
Divide both sides by 2
Check:
