Answer:
Dimension of gymnasium= 9 units and (3x+2) units.
Step-by-step explanation:
We have been given the area of a gymnasium is 
square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.
Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.
Upon factoring out 9 from our given expression we will get,
Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.
A) Ang 1 + Ang 2 = 90
B) Ang 1 = Ang 2 + 20
B) Ang 1 -Ang 2 = 20 then adding this to equation A produces
2 Ang1= 110
Ang 1 = 55 degrees
Ang 2 =35 degrees
Answer:
Option (1) is the correct option.
Step-by-step explanation:
Function 1,
f(x) = 4x² + 8x + 1
= 4(x² + 2x) + 1
= 4(x² + 2x + 1 - 1) + 1
= 4(x² + 2x + 1) - 4 + 1
f(x) = 4(x + 1)² - 3
This graph opens up with the vertex or minimum point at (-1, -3)
So, the minimum value of the function is (-3) at x = -1.
Function (2)
From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)
Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)
Option (1) is the correct option.
Answer:
11.18 miles
Step-by-step explanation:
The sides of a right triangle a, b, c are related by the equation
a^2 + b^2 = c^2
where c is the longest side of the triangle
Hence given that A connects B and C directly and forms a right angle at A
5^2 + 10^2 = c^2
Where c is the length of the road
25 + 100 = c^2
125 = c^2
c = 125^1/2
= 11.18 miles
1/4 of 5000 is 1250
1/5 of 5000 is 1000
1250 + 1000 = 2250
5000- 2250 = 2750
2750 will be left to sell
