Answer:
B) -1 and D) 1
Step-by-step explanation:
We want to find the solution to
Which means that we want to find the values of x at which the two functions f(x) and g(x) are equal.
In order to do that, we have to look at the table, and see at which values of x the two functions have the same value.
We observe that the only two values at which this occurs are:
at 
, where both functions are equal to 
at 
, where both functions are equal to 
Answer:
Step-by-step explanation:
Given
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
Open bracket
Next, determine the slope of the given endpoints.
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
In this case:
So:
Since the slope is 
, the equation is:
Where:
Recall that:
So:
Hence, the equation is:
A.)
<span>s= 30m
u = ? ( initial velocity of the object )
a = 9.81 m/s^2 ( accn of free fall )
t = 1.5 s
s = ut + 1/2 at^2
\[u = \frac{ S - 1/2 a t^2 }{ t }\]
\[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \]
\[u = 12.6 m/s\]
</span>
b.)
<span>s = ut + 1/2 a t^2
u = 0 ,
s = 1/2 a t^2
\[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\]
\[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\]
\[s = 8.0917...\]
\[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \] </span>
Answer:
3.77
Step-by-step explanation:
Do 13.85-9.08 and
u get 3.77
Answer:
The length of the rectangle is 12cm and the area of the rectangle is 60cm2.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2
52+b2=132
25+b2=169
25−25+b2=169−25
b2=144
√b2=√144
b=±12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.
The area of a rectangle is given by multiplying the width by the length.
A=(5cm)(12cm)
A=60cm2
