Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
5/6 x = 30
x = 30 ÷ 5/6
x = 36 <=== muffins you start with
If 3 inch....................................20 ft
?inc...........................................57 feet
(57*3)/20=171/20=8.55 inch
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.

∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :

Plugging in values.

Multiplying both sides by 400.


∴ 
Height of flagpole = 571 ft
Check the schedule and do the jobs as they relate to the schedule