Answer:
t=0
Step-by-step explanation:
r=<
+1,
>
by differentiating the r vector component by component
r' = <2at, 1>
Two vector are orthogonal when the dot product between them is zero, so:
r'·r=0
<+1,>·<2at, 1>=2
+2at+t=0
common factor
t(
+2a+1)=0
Then, the only real value for t is zero.
-> t=0
The answer is 13.25
67+92= 159
159 divided by 12= 13.25
Answer:
(0, -3) and (2, 1)
Step-by-step explanation:
There are 5 points marked on the graph: (±2, 1), (±1, -2) and (0, -3). These are solutions to the equation describing the function:
... y = x² - 3
Apparently, you are being asked to report the coordinates of any two of these points.
_____
<em>Comment on the problem</em>
The wording "solutions to the function" is a bit odd. An equation has solutions—values of the variables that make it be true. A function is a relationship between values, a definition. There is nothing to solve.
In the above we have assumed the intent is to find (x, y) pairs that match the function definition. Sometimes, we're interested in values of x that make y be zero. (x, y) = (±√3, 0) It isn't obvious what the intent of this question is.
Answer:
option C
Step-by-step explanation:
to find the solution for the equation 4x + 2 = x + 3, graph the equations
y= 4x+2 and y=x+3
Lets make a table for each equation
x y= 4x+2
-1 4(-1) + 2= -4+2 = -2
0 4(0) + 2= 2
1 4(1) + 2= 6
plot all the points on graph
Lets make table for second equation
x y= x+3
-1 -1+3 = 2
0 0+3 = 3
1 1+3 = 4
Plot the point on the graph and make a line
option C is correct
Answer:
28.26 
Step-by-step explanation:
The area of the quarter circle is the area of the circle / 4. Thus, the area is 
= 
= 28.26 square centimeters
