Answer:
Midpoint of side EF would be (-.5,4.5)
Step-by-step explanation:
We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
e=a+c/2,f=b+d/2
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
e=-2+1/2, f=3+6/2
e=-1/2, f=9/2
e=.5, f=4.5
SO, the mid-point would be (-0.5,4.5)
Answer:
1)=> x=22
2)=> x=16
Step-by-step explanation:
....,....................
Solution:
The difference of cubes identity is
if a and b are any two real numbers, then difference of their cubes , when taken individually:
→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.
I will show you , how this identity is valid.
Taking R H S
(a-b)(a² +b²+ab)
= a (a² +b²+ab)-b(a² +b²+ab)
= a³ + a b² +a²b -b a² -b³ -ab²
Cancelling like terms , we get
= a³ - b³
= L H S
< = more than
> = less than
So therefore,
D > 5 miles
Hope this helped !
Answer:
Options (1), (3) and (7)
Step-by-step explanation:
Characteristics of the given graph are as followed.
1). For every input value (x-value) there is a different output values (y-values).
So the points on the graph represent a function.
2). Coordinates of all the points are distinct and separate (not in fractions or decimals).
Function given is a discrete function.
3). For every increase in the x-values of the points there is a decrease in y-values.
Therefore, given function is a decreasing function.
Therefore, Options (1), (3) and (7) are the correct options.
