The equivalent expression of the different of two square is -1
Given the following expressions
a cot α = 1
a = 1/cot α = sinα/cosα
b = 1/cos α
We are to find the expression a² - b²
According to difference of two squares;
a² - b² = (a + b) (a - b)
Substitute the given expressions into the formula as shown:
[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]
This shows that the equivalent expression of the difference of two squares is -1
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There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium?
Answer:
48
Step-by-step explanation:
[tex]\sqrt{2304}[/tex] = 48 * 48
To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall
What is the value of 6(9+2)/h when g = 6 and h = 4?
Answer: 12
Plug 6 and 4 into the problem-
6(6 + 2)/4
6(8)/4
48/4 = 12
Hey there!
6(g + 2) / h
= 6(6 + 2) / 4
= 6(8) / 4
= 8(6) / 4
= 8 + 8 + 8 + 8 + 8 + 8 / 4
= 16 + 16 + 16 / 4
= 32 + 16 / 4
= 48 / 4
= 48 ÷ 4 / 4 ÷ 4
= 12 / 1
= 12 ÷ 1
= 12
Therefore, your answer is: 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
can someone give me the coordinates that each option should be placed at??? hurry please!
Answer:
x = -10
Step-by-step explanation:
-2x - 10y = 20 (plug y=0)
-2x = 20
x = 20/-2
x = -10
what is the slope of the line?
Answer:
Slope = -3
Step-by-step explanation:
From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3
Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?
Answer
y = 32
Step-by-step explanation:
Let's solve your equation step-by-step.
0.3y+0.4(25−y)=6.8
Step 1: Simplify both sides of the equation.
0.3y+0.4(25−y)=6.8
0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)
0.3y+10+−0.4y=6.8
(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)
−0.1y+10=6.8
−0.1y+10=6.8
Step 2: Subtract 10 from both sides.
−0.1y+10−10=6.8−10
−0.1y=−3.2
Step 3: Divide both sides by -0.1.
-0.1y/-0.1=-3.2/-0.1
y=32
I hope this helps?
I need help please
And thank you
Answer:
-1, 3, and 5
Step-by-step explanation:
When mapping a function the inputs (x), the oval to the left, is the domain. The oval to the right, the output, is the range.
Solve for x: 16 = x + 32
Answer:
Step-by-step explanation:
-16
Answer:
x= -16
Step-by-step explanation:
I will give you brainliest if you solve the math question
Answer:
y = 50, x = 74
Step-by-step explanation:
the total degrees must equal 180. In the left triangle, we are given 80 as in of them. 180-80=100 degrees left in the triangle there are two equal angles left, so we divide 100/2 and get 50, so y=50. In the triangle on the right, there are two equal angles of 53 degrees. So 53x2=106. 180-106= 74 degrees left. x is the only angle left, so x=72
Evaluate. -1/4(d+1) < 2
Please show how
Answer:
-1/4 (d+1)< 2
(d+1) × -1 < 2×4
(d+1) × -1 < 8
-d - 1 < 8
-d < 8 + 1
-d < 9
d > -9
d = { -8, -7, -6....., 0, 1, 2, 3, 4,....}
Step-by-step explanation:
brainliest plz
Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).
Answer:
£4.52
Step-by-step explanation:
£13.56/3
dbtnjjj5ygjhts2hjuuujjhjj
Answer:
thanks for the points........
Answer:
wt f ok?
Step-by-step explanation:
Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents
Answer:
5 inches
Step-by-step explanation:
60÷12=5 cents ( 1 inches of wire )
25÷5=5 inches
Find the unknown sizes of angles:
X=92
X+Y=180
Y=180-92
Y=88
Z=Y=88
:)
Step-by-step explanation:
We have,
x = 92 ( vertically opposite angles) 92 + y = 180 { linear pair}So that ,
y = 180-92y = 88°And ,
y = z ( VOA) z = 88°please help meh i dont know the answer
What is the domain of f?
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
what is the differences in length between a 1 1/4 inch butten and a 3/8 inch button
Answer:
7/8
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer: -15
Step-by-step explanation: in the picture
Step-by-step explanation:
Basically,
expand the brackets; multiply everything in the bracket by -3,
-3(x+5)=-3x+-15
= -3x-15
There ya go, hope this helps...
it takes 2/3 of an hour to paint 2/5 of a room
Answer:
1 and 2/3 hours or 5/3 hours
Step-by-step explanation
1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours and it'd be the whole room
not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8
Answer:
I'm not sure 710
Step-by-step explanation:
I'm not sure
Answer:
#14
y=5
x=14
Step-by-step explanation:
I did 14 for you
the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.
Ashley went to a store and bought 3 items. Each item cost $21. How much did she spend
Answer:
$63
Step-by-step explanation:
Find the value of x.
For the function f(x)=5(x+10), find
f −1(x).
Answer: f-1(x) = x/5 - 10
Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10
Steps:
The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.
[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]
So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]
hello if yall can help me please...
Answer:
A. 2
Step-by-step explanation:
4 to 6 to 8 to 10 to 12
When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.
True
False
Parenthises
Exponent
Multiply
Divide
Add
Subtract
The answer is true because it comes before subtraction in the phrase PEMDAS.
Answer:
true
Step-by-step explanation:
please
excuse
my
dear
aunt
sally
aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D
In a class of 25 students; 15 students like Mathematics, 6 like English and 4
like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.
Help plz
Answer:
3/5
Step-by-step explanation:
we got 15 students who like math in 25 student
the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5Helpppppppp please it’s due today
Answer:
Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)
Solve the equation. 9 ( − 2 ) =
Answer:
- 18
Step-by-step explanation:
9 ( - 2 )
= 9 x ( - 2 )
= - 18
Therefore, - 18 is the answer of the given equation.
Answer:
-18
Step-by-step explanation:
the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18
is -3.625 a irrational number
please help (view screenshot)
You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?
Answer:
40
Step-by-step explanation:
so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea