Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]
which of the following statements best describes the graph of x + y =2?
A) it is a line which intersects the y-axis at (2,2).
B) it is aligned joining the points whose x- and Y- coordinates add up to 2.
C) it is a line which intersects the x-axis at (2,2).
D) it is a line joining the points whose x- and Y- coordinates add up to 4.
Step-by-step explanation:
so x+y=2
a line would have to go 0,2 2,0
so the answer would be D
whats is 10000000000000000+00+0000000++000000+0000000010000000000001010101010102010202010200100202020202020.
jk, here is a gift from me Merry Christmas :)
Answer:
aww I find this so cutee
Step-by-step explanation:
Merry Christmas :) :) ^ ^
Answer:
its past t but it never too late to celebrate christmas happy christmas past and future
Step-by-step explanation:
m= -1/3
b=4
y=
I need to find how to do the equation
Answer:
y= -1/3x + 4
Step-by-step explanation:
m in this case is (-1/3)
and b is (4)
knowing that you can just plug them into the equation (y=mx+b)
50 points!!! If your good at math please help! :)
Y is directly related to X, and Y is 81 when X is 27.
The constant of variation is ___
(there are no answer choices, it's just a type in box so i need an exact answer please! :))
Answer:
Since x and y are directly related, the equation for their comparison will look like
kx = y
where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.
kx = y
k (27) = 81
k = 3
So, the constant of variation is 3.
A LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........
Given g(x)=2x+3, solve for x when g(x)=3
Answer:
-3/2
Step-by-step explanation:
Find rhe x- and y- intercerpts of the following relationships.(There may be more then one)
[tex]3x^{2} + 2y^2 = 24[/tex]
Answer:
see explanation
Step-by-step explanation:
Given
3x² + 2y² = 24
To find the x- intercepts , let y = 0 in the equation and solve for x
3x² + 2(0)² = 24, that is
3x² = 24 ( divide both sides by 3 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ← x- intercepts
To find the y- intercepts. let x = 0 in the equation and solve for y
3(0)² + 2y² = 24 , that is
2y² = 24 ( divide both sides by 2 )
y² = 12 ( take the square root of both sides )
y = ± [tex]\sqrt{12}[/tex] = ± 2[tex]\sqrt{3}[/tex] ← y- intercepts
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
6. Which expression is equivalent to (14442,6 for all positive values of k and r? OF 12kr7 O G.726?-14 OH 144kry O J. 126-14
Answer:
the answer is 12k²r¹⁴.........
z = y + x + m , solve for x
step by step
Carlos is picking 6/384 apples. Mateo is picking oranges of 10. How much did Mateo pick?
Question might be incomplete or incorrect so we'd have to assume Mateo took apples
Answer:
5/189 apples
Step-by-step explanation:
If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples
If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378
Reduce to lowest terms to get 5/189 apples
Your teacher finds a catalog that sells posters for $2 each. There is an additional charge of $4 to ship and order. Suppose that your class paid $54 for posters.
A cookie recipe requires 2.5 cups of sugar for every 10 cups of flour. If a
baker makes enough cookies to use 16 cups of sugar, how many cups
of flour would be used?
HELP FAST THIS IS A TEST AND ITS ABOUT TO END SOOOONNNNN
36 is what percent of 100?
A. 0.36%
B. 2.78%
C. 277.8%
D. 36%
Answer: it B. 2.78%
Step-by-step explanation: if it wrong sorry
Answer:
D
Step-by-step explanation:
we know how to find a percent by making it a fraction out of 100
36/100 is 36% so D
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers
Answer:
3!
Step-by-step explanation:
8 2/3 - 1 10/11 = 223/ 33 (6 25/ 33)
Hope it helped!
pleaseee help me answer this!!! it is my last question help!!!
WILL GIVE BRAINIST!!!
AND 20 POINTS:)
Ummmm its not clear so
PLEASE ANSWER ASAP
Which statement is correct about triangle I and triangle 2?
The triangles are similar because corresponding sides are congruent.
The triangles are not similar because corresponding sides have different lengths.
The triangles are similar because corresponding angles are congruent.
The triangles are not similar because corresponding angles have different angle measures.
Answer:
Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
Help! Algebra 1! Will mark brainliest!
What is the solution to -3/4x+2_<-7?
PICTURE IS ATTACHED.
Answer:
x ≥ 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3/4x + 2 ≤ -7
Step 2: Solve for x
Subtract 2 on both sides: -3/4x ≤ -9Divide -3/4 on both sides: x ≥ 12A square has sides of length S inches. Suppose the perimeter of the square is P inches, and it's area is A square inches. If P = A, then what's the value of S? (Please show work I need help:(
Step-by-step explanation:
The answer has to be 4.
4×4=16
4+4+4×4=16
What is 2/5 ÷ 3 and 1/10
Answer:
0.13 and 0.1 hope it will help you..
Inequ
What is the solution to the inequality -3.x + 7 > 1?
Х
DONE
Answer: x < 2
-3x + 7 > 1
<=> -3x > - 6
<=> x < -6/-3
<=> x < 2
Step-by-step explanation:
Plz, Help me with this question.
Answer: I think it is the last question
Step-by-step explanation:
A local little league has a total of 75 players, of whom 40 % are right-handed. How many right -handed players are there?
Answer:
30 players
Step-by-step explanation:
If 40% are right handed, then 40% of 75 are right handed.
0.4*75 = 30 players
click the heart to give thanks :)
Answer:
The answer is 30
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
please help ASAP due tomorrow!!!
Answer:
1. b =1/2 (4)(3.5)
v=(14)(8)
2.b= 1/2 (9)(12)
V=(54)(13)
3.b= 1/2(7)(6.1)
v= (21.35)(9)
Find the domain and range of the function
Answer:
domain: (-∞ , ∞)
range: (-∞, 2]
Step-by-step explanation:
the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2
range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.
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Carmen is 5 1 ··4 years younger than Antoine. Katy is 11 1 ··2 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age?
Let, age of Carmen, Antoine and Katy is C, A and K.
And it is given that :
[tex]A - C = 5\dfrac{1}{4}[/tex] …1)
[tex]K-C = 11 \dfrac{1}{2}[/tex] ...2)
We need to find the difference in Antoine's age and Katy's age.
Subtracting equation 2) from 1), we get :
[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]
Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.
this is a sat practice. need help
Answer:
The answer is A) -1 + 12i
Step-by-step explanation:
(7 + 3i) + (-8 + 9i)
(7 - 8) + (3 + 9)i
7 - 8 = - 1
3 + 9 = 12
- 1 + 12
if 16^x=1/64find the value of x
Answer:
x= -3/2, -11/2 or -1.5
Answer:
Step-by-step explanation:
16^x=1/64
[tex](2^4)^x=64^{-1} =(2^6)^{-1}=2^{-6}\\2^{4x}=2^{-6}\\4x=-6\\x=-\frac{6}{4} =-\frac{3}{2}[/tex]
Please help if you can, thank you.
I think it's A or C, I'm not sure.
Please confirm.
Answer:
A
Step-by-step explanation:
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2 is labeled Replace with entries 12, +, divided by, k, 8.
Write and evaluate the expression. Then, complete the statement.
twelve more than the quotient of a number and eight
The value of the expression when k = 40 is
.
