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)
Answer:
13
Step-by-step explanation:
If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day
next 340-119 = 221 then 221/17= 13
She drove 2 hours at 70 miles per hour, so she drove 70 * 2 = 140 miles total.
The jet traveled 400 miles per hour for 2 hours for a total of 400 * 2 = 800 miles.
Total miles = 140 + 800 = 940 miles.
The answer is C.
If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.
10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12
We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88
So angle ABD is equal to 88 degrees.
:)
We can solve for x by raising both sides to the -3 power (which is the reciprocal of -1/3):
(c^-1/3)^-3 = x^-3
c^1=x^-3
c=x^-3
Since the exponent on the x is a negative, we have to move it to the denominator to make it positive:
c= 1/x³