Answer:
The correct option is C). (9,4)
The coordinates of a point N is (9,4)
Step-by-step explanation:
Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by
P=
Given that point, M is lying somewhere between point L and point N.
The coordinates of a point L is (-6,14)
The coordinates of a point M is (-3,12)
Also, LM: MN = 1:4
We can write as,
Let,
Point L(-6,14)=(X1, Y1)
Point M(-3,12)=(x,y)
Point N is (X2, Y2)
m=1 and n=4
M(-3,12)=
M(-3,12)=
M(-3,12)=
(-15)=X2-24
X2=9
(60)=Y2+56
Y2=4
Thus,
The coordinates of a point N is (9,4)
Result: The correct option is C). (9,4)
Yes, all of your choices are correct.
Answer:
a) 12a + 3b + 2c
b) 19y + 9x
c) 11k + 7m + 3n
Step-by-step explanation:
a) 4a + 3b + 8a + 2c
12a + 3b + 2c
b) 6x + 4y + 3y + 7y + 5y + 3x
6x + 19y + 3x
19y + 9x
c) 5k + 3m + 4m + 3n + 6k
5k + 7m + 3n + 6k
11k + 7m + 3n
For this case we must indicate the value of the following expression, expressed in scientific notation:
We have that for multiplication properties of powers of the same base, the same base is placed and the exponents are added:
Then, rewriting the expression we have:
Answer:
8^2 + 12 - 2(8)
64 + 12 - 16
76 - 16
60
so your answer would be 60