Answer:
Option 4
Step-by-step explanation:
=> The length of DE = EF will prove that DEF is an isosceles triangle (having two sides equal)
=> Their slopes being the opposite reciprocals will prove that they are perpendicular to eachother and DEF is a right angled triangle.
Answer:
-2 1/2
Step-by-step explanation:
Answer:
![h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
The inflection point of f(x) is the point 
The inflection point of h(x) is the point 
-----> see the given graph
so
the rule of the translation of f(x) to h(x) is
That means------> The translation is 
units to the left
therefore
The equation of h(x) is equal to
Answer:
There are asymptotes at x = three-halves and x = negative one-third.
Step-by-step explanation:
f(x) = (x + 1)/ (6x^2 - 7x - 3)
= (x + 1)( / (6x^2 + 2x - 9x - 3)
= (x + 1) / (2x(3x + 1) - 3(3x + 1))
= (x + 1) / (2x - 3)(3x + 1)
Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.
Answer:
5) x = 24
6) x = 48
Step-by-step explanation:
I'd be glad to help :)
For question 5, we know that 62 and the unknown angle is a straight angle, so 62+y = 180. y = 118. We also know all the angles in a triangle add up to 180, so x+(x+14)+118 = 180. Therefore, 2x+132 = 180. We now know that 2x = 48, so x = 24 for question 5.
For question 6, We know that because the line is divided up, (x+35) can be moved down a line, so (2x+1)+(x+35) = 180, so 3x+36 = 180. We now know that x = 48 for question 6
