At point of intersection the two equations are equal,
hence, 6x³ =6x²
6x³-6x²=0
6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12
= 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.
Answer:
c
Step-by-step explanation:
Well first off we need to know how to round or what rounding is. Rounding is the approximation of numbers usually decimals to a approximate cut off number for numbers that are too long or hard to work with/remember. To round a number you simply need to look at the number behind that number whether its a whole number (integer) or a decimal, either one will work. Now continuing on (on) how to round the number, look at the number after it and if it is 5 or above the number rounds up +1 and all numbers behind that turn to 0. For example 3.25500 round to the nearest hundredth, 3.26(000). Now if the number is 4 or smaller then you don't do anything at all (no rounding) and all the numbers after the being rounded number turn to 0's like so, 3.254(0000) rounded to the nearest hundredth, 3.25(00000). So now that we know how to round and what rounding is we need to look at are hundredth place on are number here and see what the next number is after that, in this case it is 0 because there is no stated number there the default next number is 0 like so,
2.750 and because 0 is under 5 we don't do any rounding at all here and just leave it as it is. So 2.75 rounded to the nearest hundredth is 2.75
Enjoy!=)
Answer:
- 10.5cm,20.8cm,23.3cm — yes
- 6cm, 22.9cm,20.1cm — no
Step-by-step explanation:
If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.
1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle
__
2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle
