Answer:
To add fractions there are Three Simple Steps:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if possible)
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of x only.
[tex]\frac{csc^2 (-x)-1}{1-cos^2 (-x)}[/tex]
[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]
please help me on this
Answer:
10/9
Step-by-step explanation:
What order should you simplify like terms in? E.g. [tex]16-4\sqrt{5} -4\sqrt{5} +5[/tex] A video said to Simplify the numbers first as they will be positive?
But in [tex]6+3\sqrt{5} +2\sqrt{5}+5[/tex] You simplify the surds first.
Answer:
It does not matter, since, from your second case, [tex]5\sqrt5 +11 = 11+5\sqrt5[/tex].
In general is a matter of personal preference but in general I like to start with a positive number (I like [tex]\sqrt2 -1[/tex] more than [tex]-1+\sqrt2[/tex] since if there's an equal sign before I'm guaranteed to have the two signs mesh together in a few steps).
If everything you are adding together is positive, I just go first come first served and pick a new term in order it appears in the previous passage.
One number is eight more than twice another. If their difference is 25, what is the larger
number?
35
42
17
Answer:
17
Step-by-step explanation:
Let the smaller number = x
Let the larger number = y
y = 2x + 8
y - x = 25 Add x to both sides
y = x + 25 Substitute this into the first equation
x + 25 = 2x + 8 Subtract 8 from both sides
x + 25 - 8 = 2x Combine
x + 17 = 2x Subtract x from both sides.
17 = 2x - x Combine
17 = x
Malika knows that 230 - 39 = 191.
How can she use that to help her solve 233 - 42 = ?
Use the space and/or the lines below to answer.
Answer:
she has to minus just as she did before.
Step-by-step explanation:
230-39=191
233-42=191
the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye
Answer:
See below
Step-by-step explanation:
She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.
Write as the opposite of a square root. -3√5
Answer:
3x5² is the opposite of ur uestion
The value of -3√5 as the opposite of the square root is -75.
What is square root?The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.
Given:
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
To know more about square root:
https://brainly.com/question/9459418
#SPJ2
The value of x + x(2x) when x = 2 is: (a) 10, (b) 16, (c) 18, (d) 36, (e) 64
[tex]x+x(2x)=x+2x^2\\\\\text{when x =2}\\\\2+ 2(2)^2 = 2+ 2(4) = 2+ 8 = 10[/tex]
[tex]\text{So, the answer is (a).}[/tex]
last month, a store sent 2,014 emails to customers about sales. the number of e-mails sent the month before was 2,104. Use one of the symbols <, >, or = to compare the two numbers to compare the two numbers of e-mails sent. Explain how you used the digits to determine your answer
Answer:
Last month (2,014) = (2,014) Month before last month
Your answer would be 2,014 = 2,014
The digits are all the same. Therefore, I concluded that the numbers were the same. This means that a equal sign should be used.
Hope this helps. Pls mark brainliest. :S
6(6n+3) distributive property
Answer:
36n + 18
Step-by-step explanation:
6 * 6n = 36n
6 * 3 = 18
36n + 18 = 36n + 18
Answer:
36n+18
Step-by-step explanation:
6(6n+3)
(6×6n)+(6×3)
36n+18
But if you want it simplifed, you can divide both 36n and 18 by 18 and you will be left with 2n+1
can anyone slove this
Δ PQR has: PM is a median
so: MR = QM = 3 cm
ANSWER: MR = 3 cm
Ok done. Thank to me :>
Find the center and radius of the circle with the equation: (x=5)2 +(4-2)3-25
Answer:
center = (5 ,-3) and radius = 5
Step-by-step explanation:
Write an equation for a rational function with:
Vertical asymptotes of x = 1 and x = 4
x intercepts at (-1,0) and (-6,0)
y intercept at (0,8)
Use y as the output variable. You may leave your answer in factored form.
Answer:
[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Step-by-step explanation:
Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.
Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.
Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:
[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]
[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]
[tex]8=\frac{6a}{4}[/tex]
[tex]32=6a[/tex]
[tex]\frac{32}{6}=a[/tex]
[tex]\frac{16}{3}=a[/tex]
Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
GUY HELP DID CLICK OF THE RIGHT ONE ?
Answer:
c
Step-by-step explanation:
it just is that's the right book
When h = π, the orange graph shifts
units to the
.
Answer: it shifts units to the right.when h=-π it shifts units to the left
Step-by-step explanation: positive pi goes to the right, negative to the left
x + 7 when x = -11
What is the answer
How do I simplify the ratio of
42 : 28 : 21
Answer:
6:4:3
Step-by-step explanation:
each can be divided by 7
Answer:
6 4 3
Step-by-step explanation:
4. Mother pays Php 199.50 for 2.85 kg of rice. How much does a kilogram of rice cost?
a.35
b.70
c.75
d.105
please answer it correctly.
Answer:
B. 70
Step-by-step explanation:
If 199.50 PHP gets you 2.85KG of rice.
A kilogram of rice would cost = Total Amount / Total Weight.
199.50/2.85
= 70PHP
write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
Answer:
y = -1/2x + 6
Step-by-step explanation:
We know that the slope intercept form of a line is .
Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.
So the slope of the equation will be .
Finding the y-intercept (c):
Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.
From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?
A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11
please only reply if you know the answer!!
Answer:
a
Step-by-step explanation:
(x-2)(x-11) less than or equal to 0
which means x is between 2 and 11 when it is less than 0
SOEMONE PLEASE TELL ME DID I CLICK THE RIGHT ONE
PLEASE PLEASE HELP ME
Answer:
Yes.
Step-by-step explanation:
I had a problem just like this and you are correct.
Find the 57th term of the arithmetic sequence -13,-29,-47,….
Answer:
answer -909 photo with solution is attached
Draw two lines with a slope of 1 / 2. What do you notice about the lines?
Answer:
The lines would be parallel.
Step-by-step explanation:
lines with the same slope are parallel.
Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?
Answer:
56study hard watch your book for 20 minute and look....this is a hint
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
A golfer takes an uphill shot towards the hole, and they make the shot. The path of the ball can be modeled by the equation y=-5^2– 40x– 10, where x is the horizontal distance and y is the vertical distance traveled by the ball in meters. How much higher is the hole than the spot from where the shot was taken? The hole is meters higher What was the maximum height above the hole that the ball reached while it was in the air? meters The maximum height that the ball reached above the hole was What was the horizontal distance that the ball traveled from the point that the shot was taken to the hole? Round your ai the nearest tenth of a meter. meters. The horizontal distance covered by the ball was
Answer:
Solve for n
n=log5 (− 2 /y −20x−5),y<−40x−10
Step-by-step explanation:
y = 3 tan(x2 + 5) [using Chain Rule]
Answer:
6x sec2 (x2+5) the number to are in the top of x a c.
are the following expressions equivalent 5(2z+3) and (5x2)+(z+3)
Answer: yes they are
Step-by-step explanation:
A certain forest can support a population of 800 deer. There are currently 200 deer in the forest and their population is growing at a rate of 2% per year. Complete the sequence below that models this population growth.
It would take 70 years for the deer population to reach 800.
An exponential function is in the form:
y = abˣ
where b is the multiplier, y, x are variables and a is the initial value.
Let y represent the population and x represent the time in years.
a = 200, b = 100% + 2% = 102% = 1.02
y = 200(1.02)ˣ
For a population of 800:
800 = 200(1.02)ˣ
ln(4) = xln(1.02)
x = 70 years
It would take 70 years for the deer population to reach 800.
Find out more on exponential function at: brainly.com/question/2456547
Answer: 200, 0.02, and 800
Step-by-step explanation:
List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT
Answer:
1,2,4,5,8,10,20,40
Step-by-step explanation:
Have a nice day
According to the telegram which of the following description of the data are true
Answer:ITS THE SECOND ONE
Step-by-step