Answers
[tex](\frac{1}{sin\alpha } -sin\alpha )(\frac{1}{cos\alpha } -cos\alpha )=cos\alpha *sin\alpha \\\\\\(\frac{1}{sin\alpha } -\frac{(sin\alpha)^2}{sin\alpha} )(\frac{1}{cos\alpha } -\frac{(cos\alpha)^2}{cos\alpha } )=cos\alpha *sin\alpha \\\\\\(\frac{1-(sin\alpha )^2}{sin\alpha } )(\frac{1-(cos\alpha)^2 }{cos\alpha } ) = cos\alpha *sin\alpha\\\\\\(\frac{(cos\alpha)^2 }{sin\alpha } )(\frac{(sin\alpha )^2}{cos\alpha } )=cos\alpha *sin\alpha\\\\\\cos\alpha *sin\alpha = cos\alpha *sin\alpha[/tex]
Identities used
[tex](sin\alpha )^2+(cos\alpha)^2=1[/tex]the second to last step to the last step was just a matter of simplificationHope it helped!
p.s. If you can give me a brainly, it would help a lot since the formatting of these equations were a lot of work
Related Questions
hellpppppppppppppppp 43points
Answers
Answer:
a) 4x
b) 2 + 4y
Step-by-step explanation:
a) 7x - 6x + 3x
To do this, we just need to collect the terms together. They are all coefficients of x, so all we need to do is add the number together.
7 - 6 + 3 = 4
7x - 6x + 3x = 4x
b) 2(1 + 2y)
Here we need to expand the brackets. 2 is shown to be multiplied by 1 +2y:
2(1 + 2y)
= 2*1 + 2*2y
= 2 + 4y
I hope this helps :)
write the equation in slope-intercept form.
Answers
Answer:
y = 2x - 3Step-by-step explanation:
Given line:
y = - 1/2x - 1We need to find a line that is perpendicular to the given line and passes through the pint (6, 9)
We know perpendicular lines have opposite-reciprocal slopes.
The slope of the line is:
(-1) / (- 1/2) = 1 *2 = 2Use point-slope form to find the line:
y - 9 = 2(x - 6)Convert the equation into slope-intercept form:
y - 9 = 2x - 12y = 2x - 12 + 9y = 2x - 3What is the simplified version of [tex]\frac{x^5x^6}{y^6}[/tex]
Answers
PLS HELP ME DUE TODAY
Answers
Answer:
Domain: (-∞, -5) (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
A train travels at a rate of (4x + 5) miles per hour. How many miles can it travel at that rate in
(x - 1) hours? Express your answer as a polynomial.
Answers
(4x+5) miles..........1 hour
x miles .........(x-1) hour
(4x+5) * (x-1) = 1 * x
in (x - 1)h = x / (4x+5) miles
Carlos and Diya perform the same transformations on the same pre-image, but in reverse order.
Carlos translates, then dilates.
Diya dilates, then translates.
Carlos claims the resulting images will always be the same. Diya disagrees.
Who is right? and why
Answers
Answer:Diya
Step-by-step explanation: she’s right because she is black and all black peoples is always right
16(2x + 3) (3x + 5) ÷ 8 (2x + 3)
Answers
Answer:
2(3x+5) OR (6x+10)
Step-by-step explanation:
16 (2x+3) (3x+5)8 (2x+3)
16 (3x+5)8
2 (3x+5) = 6x+5 Thxwhat is the equation of a line that is parallel to x + 3y =12 and goes through (6,-3) in slope intercept form
Answers
Answer: -1/3 x -1
Step-by-step explanation:
By doing some stuff, you get the slope of the first line as -1/3. Set up -1/3 x +b and you plug in the coordinates. That makes b= -1. Hope it helps :)
2
Think: A student attempted to solve the equation below by Pair/Share: Do you agree or
completing the square.
disagree with the steps taken so
far? Explain.
x²- 2x-1=2
+1+1
because ...
x ²-2x=3
XP-2x +1 = 3+1
*²-2x + 1 = 4
(X+1}=4
b = 2
half:-1
Square: 1
Answers
Answer:
Step-by-step explanation:
Here is how to solve it using factoring:
x^2 - 2x - 1 = 2
x^2 - 2x - 3 = 0
(x + 1)(x - 3) = 0
x = -1, 3.
Answer:
your process is not correct
(x^2-2x+1 = 3+1)
you were wrong here
Step-by-step explanation:
I am not good in english so it is hard for me to explain...
Find the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9
a.6.7
b.6.73
c.6.71
d.6.72
Answers
The distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The distance between the two straight parallel lines can be found by finding the difference between the y-intercept of the two lines. Therefore, for the two of the given equation, the value of the y-intercept can be written as,
Y-intercept of -4x + 7y + 9 = 0
-4x + 7y + 9 = 0
7y = 4x - 9
y = (4x - 9)/7
y = 4x/7 - 9/7
y-intercept = -9/7
Y-intercept of y = 4/7x - 9
y = 4/7x - 9
y-intercept = -9
Now, the difference distance between the two lines will be,
Distance = Difference between the y-intercept
= -9 - (-9/7)
= -9 + 1.2857
= 7.71
Hence, the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ2
Find the common difference of the
arithmetic sequence -6, -13, -20, ...
Answers
Answer:
-7
Step-by-step explanation:
Please help!!!!!! Hurry i only have 10 mins ill give brainy
Which operation should be used to solve LaTeX: \frac{x}{3} = 15x3=15 ?
Group of answer choices
+ 3
÷ 3
x 3
– 3
Answers
How many is this
2( 9 - 7r ) + 8r
Answers
solving steps:
2( 9 - 7r ) + 8r
2(9) - 2(7r) + 8r
18 - 14r + 8r
18 - 6r
Answer:
18 - 6r
Step-by-step explanation:
2(9 - 7r) + 8r
Expand the brackets:
⇒ 2 · 9 - 2 · 7r + 8r
⇒ 18 - 14r + 8r
Combine like terms:
⇒ 18 - 6r
∠ R and∠ S are complementary. If m ∠ R = 12x - 3 and m ∠ S = 7x - 2, find m ∠ R.
m ∠ R = (blank)degrees
Answers
Step-by-step explanation:
Sum of two complementary angle is 90°so. <R+<S =90°12x-3+7x-2=90°19x-5=90°19x=95°X= 5<R= 60-3=57°Need Help! 50 points!!
Answers
Answer:
see below
Step-by-step explanation:
eq.1 2a - b + 2c = -8
eq.2 5b - 3c = 21
eq.3 -7a -10c = -2
3 equations, 3 unknown.
first step is to eliminate b using eq1 and eq2
2a - b + 2c = -8 (5)
5b - 3c = 21
10a - 5b + 10c = -40
5b - 3c = 21
10a + 7c = -21 ------------eq. A
lets solve a using eq. A
10a + 7c = -21
a = (-7c - 21) / 10
now substitute a into eq.3
-7a -10c = -2
-7(-7c - 21) -10c = -2 distribute
10
4.9c + 14.7 - 10c = -2 add similar terms
-5.1c = -2 - 14.7 simplify
c = -16.7 / -5.1
c ≈ 3
solve b using eq. 2 and substitute c.
5b - 3c = 21
5b = 21 + 3c
5b = 21 + 3(3.2)
b = 30.825 / 5
b ≈ 6
solve a using eq. A
10a + 7c = -21
10a + 7(3.2) = -21
10a = -21 - 22.4
a = -43.4 / 10
a ≈ -4
therefore, the statement (-4, 6, 3) is correct.Answer:
a
Step-by-step explanation:
abc is isosceles triangle above is ac=20 and bc=3x-7 what is x
Answers
Answer:
x = 9
Step-by-step explanation:
Isosceles means that the two sides equal each other
As such, to find the value of x we must equal the two expressions together and isolate the variable
20 = 3x - 7
add 7 to both sides
27 = 3x
divide both sides by 3
9 = x
Answer:
The variable x equals 9.
Step-by-step explanation:
3x - 7 = 20
3x = 27
X = 9
Which fruit has the lowest unit price?
A.
2.5 pounds of grapes for $4.19
B.
4 pounds of apples for $5.49
C.
5 pounds of oranges for $6.99
D.
6.5 pounds of strawberries for $9.59
Answers
Answer:
A unit is a measure of ratio between two quantities. In this instance, the unit is a pound. The ratio you need to take is the price of each fruit and divide it by the number of pounds each fruit has to get a price per pound. See below for solution.
Step-by-step explanation:
A. 4.19 dollars / 2.5 pounds = 1.676 dollars / pound
B. 5.49 dollars / 4 pounds = 1.3725 dollars / pound
C. 6.99 dollars / 5 pounds = 1.398 dollars / pound
D. 9.59 dollars / 6.5 pounds = 1.475 dollars / pound
The lowest is B, the apples.
In the diagram, AC is a diameter of the circle with center O. If m_ACB = 50°, what is m_BAC?
Answers
Answer: Your answer 40°
Step-by-step explanation:
Hope this helped!
PLEASE MARK ME AS BRAINLIEST!!!
Which shows the correct placement of the decimal point in the product?
52.1
× 3.4
1771.4
177.14
17.714
1.7714
i will crown to correct answer pls and ty
Answers
Answer:
b.177.14
Step-by-step explanation:
because 52.1x 3.4 = 177.14
what is the answer to this equation using the quadratic formula? 3x^2+2x+4x=0
Answers
Answer: No real number solutions
The complex number solutions are [tex]x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
=======================================================
Explanation:
The given equation 3x^2+2x+4 = 0 is in the form ax^2 + bx + c = 0
We have
a = 3b = 2c = 4Let's compute the discriminant.
d = b^2 - 4ac
d = (2)^2-4(3)(4)
d = -44
The result is negative, so there are no real number solutions.
----------------
If you wanted to find the complex valued solutions, then we apply the quadratic formula.
Plug in a = 3, b = 2, c = 4
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(3)(4)}}{2(3)}\\\\x = \frac{-2\pm\sqrt{-44}}{6}\\\\x = \frac{-2\pm\sqrt{-1*4*11}}{6}\\\\x = \frac{-2\pm\sqrt{-1}*\sqrt{4}*\sqrt{11}}{6}\\\\[/tex]
[tex]x = \frac{-2\pm i*2*\sqrt{11}}{6}\\\\x = \frac{-2\pm2i\sqrt{11}}{6}\\\\x = \frac{2(-1\pm i\sqrt{11})}{6}\\\\x = \frac{-1\pm i\sqrt{11}}{3}\\\\x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]
Notice in step 3 we have -44 under the square root. The negative value in the square root leads directly to the imaginary number [tex]i = \sqrt{-1}[/tex]
Though the term "imaginary" is a bit unfair and misleading because numbers like -22 are just as imaginary and made up by humans. It just depends on context in which imaginary numbers are useful (eg: with physics or engineering).
recursive formula for 0.15, 0.17, 0.19, 0.21, 0.23
Answers
Answer:
An = a1 + (n-1) d
Step-by-step explanation:
Which of the following is equal to -11?
0-6-(-5)
0-5+-6
0-5+6
Answers
EXPLANATION:
if 11 is subratecet from 4 times a number the result is 89 find the number
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
4x-11=89
4x=89+11
4x=100
x= 25
I hope this will help
What do you call the point where a perpendicular bisector crosses another line?
Answers
Answer:
If AB crosses at a right angle, it is called the "perpendicular bisector" of PQ. If it crosses at any other angle it is simply called a bisector. Drag the points A or B and see both types. For obvious reasons, the point F is called the midpoint of the line PQ. See also Angle bisector.
Please help (explain pls)
Answers
Answer:
C
Step-by-step explanation:
The reason it is C is mainly because it is the only line with a negative slope. A negative slope this direct \. It is not A because that is a positive slope (/). It is not B because that line is undefined which means it would look like this x = 2. And D is wrong because that is a zero slope line which looks like this y = 5. So it is C.
Here is a helpful website for problems like this Desmos. com
Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 12 strawberries, how many grapes will she use?
Answers
Answer:
24
Step-by-step explanation:
12/2=6
6*4=24
Answer:
Beth will use 24 grapes.
Step-by-step explanation:
Not going to lie I forgot how i got my answer but ik its good.
5/12 x 2/5???
CAN SOMEONE PLEASE ANSWER
20 Point Reward!!!!
Answers
Answer:
1/6
Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.
Final answer:
1/6
plsssss help no one is helping me
Answers
Answer:
x=-3
Step-by-step explanation:
there are three x's and five one's so the equation is 3x+5
on the other side there are 2 negative x's and 10 negative one's so the equation is -2x-10
set them equal to each other
3x+5=-2x-10
5x=-15
x=-3
Answer:
hey how old are you
Step-by-step explanation:
jnedjed
Helppppp meeeeee question 2 pleaseeee !!
Answers
What is below the question is what I mean.
(17.7) x (11.4)
Show the work that helped you solve it please