Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
-5x < 10...divide both sides by -5, changing the inequality sign
x > 10/-5
x > -2
x + 5 > 2...subtract 5 from both sides
x > 2 - 5
x > -3
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ( )
x = n ⇔ x =
note that log x = x
Given
log (x² + 3x) - log10 = 0, then
log( ) = 0, thus
= = 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
To solve this, make the equation:
2l+2(l-4)=72
4l=80
The length is 20 meters.
Then, plug 20 in the other equation:
w=l-4
The width is 16 meters.
Answer:
A plane consists of an infinite set of points.
A point's location on the coordinate plane is indicated by an ordered pair, (x, y).
Step-by-step explanation:
The undefined terms in geometry are points, lines and planes.
- A point's location on the coordinate plane is indicated by an ordered pair, (x, y). TRUE. In R², the ordered pairs (x,y) is used to defined the location of a point.
- The second statement is false because a point has no dimension.
- The third statement is also false because a line has only one dimension which is length.
- The fourth statement is not true because distance between two points must have a beginning and an end.
- A plane consists of an infinite set of points. TRUE .The plane is a home of infinitely many points.