Answer:
1) See figure attached
2)
a) 
And if we replace we got:
b) 
And if we replace we got:
Step-by-step explanation:
Part 1
We can see the plot in the figure attached.
Part 2
a)
For this case we have two points 
And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:
And if we replace we got:
b)
Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:
And if we replace we got:
Do solve this you use PEMDAS. This stands for:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Because there are no parentheses or exponents in this equation, we go straight to the division.
1) 8 divided by 4 equals two so we rewrite the equation. 5+6 x 2 - 2 + 7.
2) Next in order of pemdas is multiplication. Yes I know that in pemdas multiplication does come before division but it doesn’t matter in this problem which you do first. So now we do 6 x2 =12. We then rewrite the equation 5+12-2+7.
3) lastly, addition and subtraction are grouped together and you can just do it in order of the problem. So we do 5+12=17. 17-2=15. And 15+7=22.
So the final answer is: 22
Answer: The answer is 381.85 feet.
Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.
This situation is framed very nicely in the attached figure, where
BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?
From the right-angled triangle WGB, we have
and from the right-angled triangle WAB, we have'
Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.
Thus, the height of the building across the street is 381.85 feet.
Answer:
f(-2)=-2
Step-by-step explanation:
we know that
x -----> is the independent variable or input value
f(x) ---> is the dependent variable or output value
f(-2) is the value of the function f(x) when the value of x is equal to -2
so
For x=-2
Looking at the graph
f(-2)=-2
For an input value of -2 the output value is -2
Answer:
Same side: 4, 1.5, 5/3, 0.2
Opposite side: -5, -1/4
Step-by-step explanation:
We know that dilation caused by a positive factor leads to the object being on the same side and dilation caused by a negative factor leads to the object being on the opposite side. Therefore, the dilation caused by positive numbers 4, 1.5, 5/3, 0.2 will lead to object being on the same side. And dilation caused by a negative numbers -5 and -1/4 will lead to object being reflected to the opposite side
