Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
Answer:
.25881
Step-by-step explanation:
sin15
=sin(45-30)
=sin45.cos30-cos45.sin30
=(0.707×0.86)-(0.707×0.5)
=(0.6082)-(0.3535)
=0.25
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = 
r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
