The answer is B is correct
Answer:
x = -1/2
, y = -1
Step-by-step explanation:
Solve the following system:
{y = 4 x + 1 | (equation 1)
{y = 2 x | (equation 2)
Express the system in standard form:
{-(4 x) + y = 1 | (equation 1)
{-(2 x) + y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{-(4 x) + y = 1 | (equation 1)
{0 x+y/2 = (-1)/2 | (equation 2)
Multiply equation 2 by 2:
{-(4 x) + y = 1 | (equation 1)
{0 x+y = -1 | (equation 2)
Subtract equation 2 from equation 1:
{-(4 x)+0 y = 2 | (equation 1)
{0 x+y = -1 | (equation 2)
Divide equation 1 by -4:
{x+0 y = (-1)/2 | (equation 1)
{0 x+y = -1 | (equation 2)
Collect results:
Answer: {x = -1/2
, y = -1
Answers:
(1) Option (B) 60.
(2) Option (C) 946.4 yd^2.(3) D<span>
egree of the central angle for sector C = </span>
126°.
Explanations:
(1) The original area of parallelogram is = A = 120
Since
Area-of-parallelogram = (base)(height)
A = bh = 120
Now the base is reduced to one-fourth of its original length and height is doubled. Therefore the new Area will be:

Since bh = 120 (as stated above); therefore:


So
the new Area will be 60.(2) The area of a regular polygon = Area = (1/2)(apothem) (perimeter).
perimeter = 8 * (side-length) = 8(14) = 112 yards
(8 because it's octagon)
Area = (1/2)(apothem) (perimeter)Area = (1/2)(16.9) (112)Area = 946.4 yd^2
(3) For this you need to know the sector-angle formula:
(Area-of-a-given-sector) / (Total Area) = (Degrees-of-the-central-angle)/(Total-degrees)
Area-of-a-given-sector = 0.35
Total Area = 0.35 + 0.15 + 0.5 = 1.0
Degrees-of-the-central-angle = ?
Total Degree = 360°
Plug in the values in equation:
0.35/1 = (Degrees-of-the-central-angle)/360°
=> Degrees-of-the-central-angle = 0.35 * 360° =
126°
Graph it on Desmos, you'll find a match.