Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
Answer:
yessssss
Step-by-step explanation:
...........
The difference between the two mass is 151950g
Data;
- Mass a = 29.48kg
- Mass b = 181,430g
<h3>Difference Between The Mass</h3>
To calculate the difference between the mass, we must do so in the same unit. i.e both mass a and mass b must be in the same unit.
<h3>Conversion of Mass from Kg to g</h3>
Let's convert mass a from kg to g
Using this, we can find how many grammes are in 29.48kg
Now we can find the difference between mass b and mass a
The difference between the two mass is 151950g
Learn more on difference between two numbers here;
brainly.com/question/18591813
Answer:$9.49
Step-by-step explanation:
8.95×.61=5.4595
8.95×.45=4.0275
5.4595+4.0275= 9.49(rounded answer)
1 m² is the answer because 1<span>00cm/1 m equal to 1</span>
