X = -3
Pull out the like terms: -7x - 21 = -7 × ( x + 3)
Solve: -7 = 0
Solve: x + 3 = 0
Subtract 3 from both sides of the equation
So, x = -3
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
and
That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
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:

Step-by-step explanation:
8^2+5^2=c^2
64+25=c^2
89=c^2
c=
<-- this is the length of the rectangle at the bottom
2^2+(
)^2=c^2
4+89=c^2
c=
<-- length of dotted line (diagonal)
<h3>
Answer:</h3>
The radius would be <em>3.5 units</em>.
Step-by-step explanation:
This is because a radius is always half of a diameter.
By using that,
7 ÷ 2 = 3.5 units
Since there was no measurement listed in the question, the answer would be in "units."