Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
determine the measure of each segment then indicate whether the statements are true or false
Answer:
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
A(-4, 4)B(2, 5)Finding the length of AB using the formula
[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{6^2+1}[/tex]
[tex]=\sqrt{36+1}[/tex]
[tex]=\sqrt{37}[/tex]
[tex]d_{AB}\:=\sqrt{37}[/tex]
[tex]d_{AB}=6.08[/tex] units
Given the vertices of the segment JK
J(2, 2)K(7, 2)From the graph, it is clear that the length of JK = 5 units
so
[tex]d_{JK}=5[/tex] units
Given the vertices of the segment GH
G(-5, -2)H(-2, -2)Finding the length of GH using the formula
[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]
[tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]
[tex]=\sqrt{3^2+0}[/tex]
[tex]=\sqrt{3^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]d_{GH}\:=\:3[/tex] units
Thus, from the calculations, it is clear that:
[tex]d_{AB}=6.08[/tex]
[tex]d_{JK}=5[/tex]
[tex]d_{GH}\:=\:3[/tex]
Thus,
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Write an equation of the line that passes through (4,-2) and is parallel to y=1/2x -7
Answer:
5 x - 6 y - 8 = 0.
Step-by-step explanation:
Which statement is not always true for a parallelogram?
Answer:
b
Step-by-step explanation:
Answer:
Diagonals are congruent drop a like if you got it right
Step-by-step explanation:
simplify
plz explain
Answer: [tex]\sqrt{7}[/tex] divided by 2
Step-by-step explanation:
[tex]\sqrt{4}[/tex] becomes 2 .2 [tex]\sqrt{28}[/tex] becomes 2 x 2[tex]\sqrt{7}[/tex], which would equal 4 [tex]\sqrt{7}[/tex]. Then I think you simplify the 2 and four ( 2/4 ), making the equation 1/2 x [tex]\sqrt{7}[/tex]. 1 x [tex]\sqrt{7}[/tex] would equal [tex]\sqrt{7}[/tex]. So I think the answer would be [tex]\sqrt{7}[/tex] divided by 2.
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:A
Step-by-step explanation:
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.You can learn more about translation concepts at https://brainly.com/question/13671886
John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.
The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.
Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.
Part A:
Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?
Part B:
Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?
Part C:
Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.
Answer:
boo
Step-by-step explanation:
Write the verbal phrase as a algebraic expression
three times the sum of a number and 1
3 (n + 1) (expression)
3n + 3 (expression simplified)
nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer
easy question/ whats |9x|=-9
Answer:
you divide 9 from both side and get x=-1
Step-by-step explanation:
Big brain stuff
x=1 Thats the answer
Find the value of x.
2x – 4
10
Answer: 7
Step-by-step explanation:if 10 and the other equation are the same then 2(7)-4=10
You want to learn karate at a fitness center. You have two options; option A is to pay a $300 registration fee plus $10 per additional lesson. Option B is pay $35 for each lesson you attend. Make equations to represent the total cost of Option A and B.
Answer:
Option A: 300 + 10x
Option B: 35x
Step-by-step explanation:
option A:
$300 + $10 per lesson
Total cost = 300 + 10x
Option B:
$35 per lesson
Total = 35x
Where,
x = number of lessons
The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively
PLEASE HELP NEED HELP ASAP!!!!!!
Answers:
x = 3
y = 9
=========================================================
Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
pleaseeee helpppppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
6.85565
Step-by-step explanation:
What is the y-intercept and slope of the following equation y=8-2x
Answer:
Sloper = -2
y-intercept = (0,8)
Step-by-step explanation:
y=8-2x
y=-2x+8
m=-2
b=8
Answer:
slope(m)=-2
y-intercept (c)=8
Step-by-step explanation:
here,y=-2x+8
reducing it into slope intercept form we get,
y=(-2)x+8
comparing it with y=mx+c we get,
slope(m)=-2
y-intercept(c)=8
What is the least common denominator of 11/6 and 9/10?
Answer:
The least common denominator is 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
the least common multiple ( L.C.M ) of 6 and 10 = 30
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).
Answer:
Plug it in.
y = -1, y1 = 1
x = 3, x1 = 1
-1 - 1 = m( 3 - 1)
-2 = 2m
m = -1
The slope is -1
y = -x +b
-1 = -3 +b
b = 2
The equation is y = -x + 2
Hope this helps.
Step-by-step explanation:
Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?
NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!
Answer:
in 40 minutes, 15 degrees Farenheit will be e
Step-by-step explanation:
I need help. Please answer if u do know
Answer:
i think is (-3,2) because it look like in negative and posted
What is the value of the expression 1/2-(-1/3+2/5)
answer 13/30
or 0.43 repeating
Step-by-step explanation:
The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?
Answer:
Length = 18
Step-by-step explanation:
Length= 2w - 4
Perimeter= 58
Perimeter= 2L + 2w
58 = 2(2w-4) + 2w
58 = 4w -8 + 2w
58 = 6w - 8
66 = 6w
11 = w
Plug in width to find the variable L
58 = 2L + 2(11)
58 = 2L + 22
36 = 2L
18 = L
Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.
Answer:
Step-by-step explanation
By Using Synthetic Division Method:
3 1 0 -19 30
3 9 -30
1 3 -10 0
factorise: (x^2+3x-10)(x-3)
=(x+5)(x-2)(x-3)
Answer:
ITs B on edge
Step-by-step explanation:
cause i said so cuzzzz
I need the answer for this equation
Answer:
c
Step-by-step explanation:
Answer:
It’s... d or c
Step-by-step explanation:
I think
Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105
Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function glven below.
Answer:
0.5x + 2
Step-by-step explanation:
You switch x and y and then solve for x to find the inverse.
20pts answer please the picture
Answer: Hope this helps!
Step-by-step explanation:
Area of a trapezoid formula base a+base b/2*h
Base a is the top length (22.5)
Base b is the bottom length (49.9)
Add those two lengths together (22.5+49.9=72.4)
Divide that by two (72.4/2=36.2)
Then multiply that by the height (36.2*23.8=861.56)
So your area is 861.56
Pl help me I will give Brainly
Answer:
Both gyms charge the same after 2 months and LA fitness has a greater initial fee.
What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5
Answer:
the answer is D
Step-by-step explanation:
Answer: D AKA (10*5)
Step-by-step explanation:
I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5 STAY SAFE :)(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
Please help ASAP !!
Please help ASAP !!
Please help ASAP !!
Answer:
7/50
Step-by-step explanation:
That is the simpliest fraction. Hope dis helps
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?