See attached file. show all work.
Answers
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
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Divided 2/7 divided by 1/3
The speed of a space shuttle orbiting the earth is 28,325mph.How many miles does the space shuttle travel in 5 days?
fifteen percent of the workers at nationwide industries earn minimum wage. if 24 workers earn minimum wage, how many total workers are there at nationwide industries?
What are the domain and range of the function f(x) = 3^x + 5
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y
Answers
Answer:
$12.80
Step-by-step explanation:
The cost to get 8 bottles of juice and 4 bags of chips will be:
= 8($.105) + 4($1.10)
= $8.40 + $4.40
= $12.80
The cost for x bottles of juice and y bags of chips will be:
= (1.05 × x) + (1.10 × y)
= 1.05x + 1.10y
m∠R=
I know I need to use the LAW OF SINES and LAW OF COSINES. I know I need a law of cosines but I don't know how to put the numbers in right place.
Answers
Answers
Answer:
Option (d) is correct.
Step-by-step explanation:
Given : Equation of line 3x + y = -2
We have to choose the correct graph for the given equation of line 3x + y = -2
Consider the given equation of line 3x + y = -2
We find the points that satisfies the equation of line and plot these to find the equation of line.
Put y = 1
We get
3x + 1 = -2
3x = -2 -1 = -3
x = -1
also, put y = 4
We get
3x + 4 = -2
3x = -2 -4 = - 6
x = - 2
also, when x = 0 , we get, y = -2
We get three points (-1, 1), (0,-2) and (-2, 4)
Now plot these point to obtain graph as shown below.
2
+ 3x - 4, and the speed of the walkway is W(x) = x
2 - 4x + 7.
20. What is his total speed as he walks along the moving walkway?
21. Carlos turned around because he left his cell phone at a restaurant.
What was his speed as he walked against the moving walkway?
Answers
His speed was 2x² + 7x - 11 as he walked against the moving walkway.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
We are given that Carlos is walking on a moving walkway. His speed is given by the function
C(x) = 3x² + 3x - 4,
The speed of the walkway is W(x) = x² - 4x + 7.
The total speed as he walks along the moving walkway is;
x² - 4x + 7+ 3x² + 3x - 4,
= 4x² - x + 3,
Given Carlos turned around because he left his cell phone at a restaurant.
If he walked against the moving walkway
- x² + 4x - 7 + 3x² + 3x - 4,
2x² + 7x - 11
Learn more about function here:
#SPJ2
A.14.00
B.14.75
C.15.75
D.13.50
Answers
The mean of the data set is the sum of all the data values divided by the number of these values.
12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177
the number of data values: 12
177 / 12 = 14.75
The correct result would be B. 14.75.
Answers
Answer:
(2, - 5)
Explanation:
The line y = -1 is horizontal: parallel to the y-axis.
The point B (2,3) is above the line y = - 1 at a distance equal to the y-coordinate of B (y = 3) less - 1:
Δy = 3 - ( - 1) = 4
When the point B (2,3) is reflected over the line y = -1, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence, the coordinates of the vertex B' are x = 2, y = - 5: (2, - 5).