Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
Answer:
EFG = 50.6, LMN = 129.4
Step-by-step explanation:
ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.
to find the angles first we need to solve for x.
we know EFG + LMN = 180 because its supplementary.
that's is (3x+17) + (12x-5) = 180.
we now solve for x;
15x+12 = 180
15x = 168, x= 168/15 = 11.2
now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.
EFG = 3x11.2 + 17 = 50.6
LMN = 12x11.2 - 5 = 129.4
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
