Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
3x(2-x)+2x(x-1)=5x(x+3)
Step-by-step explanation:
6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x
4x -x^2 = 5x^2 + 15x
-11x - 6x^2 = 0
-6x^2 - 11x = 0
use the quadratic formula
(-b±√(b²-4ac))/(2a)
Examine the graphs. Determine whether each function is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of each function.
Hey there! I'm happy to help!
Discrete data are data that are usually counted and are represented by points that are not connected by a line.
Continuous data are data that are represented by a straight line.
Our graph has a continuous function because it is made of continuous.
In a function, the domain is all of the x-values and the range is all of the y-values.
With discrete data, the domain and range are usually more finite, and with continuous data, it is usually infinite.
What x-values on this graph include any possible number. If we follow the arrow on the bottom left side of our line, it will go down forever and go in the direction of infinitely many negative x-values. The same goes for the other direction with the other side of our arrow.
So, our domain is going to be -∞ ≤ x ≤ ∞.
If we look at our range, we have the same thing happening. We will have infinite negative y-values and infinitely positive as our arrow goes infinitely in both directions.
So, our range is going to be -∞ ≤ y ≤ ∞.
Have a wonderful day and keep on learning! :D
Solve for x and find the value of the unknown angle measures.
Answer:
x = 20
m = 92
n = 68
p = 92
Step-by-step explanation:
x = 20
2 + 3x = 62
-2 -2
----------------
3x = 60
----- -----
3 2
x = 20
m = 92
20 + 68 = 88
180 - 88 = 92
n = 68
The vertical angle is 68 degrees
p = 92
Vertical angle is m, which is 92.
Hope this helped.
PLEASE HELP (GEO) Find X
Round to the nearest tenth.
20 ft
\22 ft
Y
X 18 ft
X= [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Answer:
70.5°
Step-by-step explanation:
cos x = (20²+18²-22²)/2(20)(18)
= (400+324-484)/720
= 240/720
= 1/3
so, X = arc cos ⅓ = 70.5°
Which ordered pair is a solution to the equation y = 2x + 1?
A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)
What do I need to know about 8th grade
Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
Determine the coordinate of endpoint B.
Coordinate of endpoint B
Ancient world study guide
Answer:
context
Step-by-step explanation:
ill help in comments if you can explain this makes no sense
2. sale price $1,089
sales tax rate: 6.25%
Answer:
0.0625
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form. −1(−3 1/2)= need ASAP
Answer:
3 1/2
Step-by-step explanation:
plz help!! math isn’t my thing!! i’ll give brainliest!!
Answer:
3x + 5 + 6x -6 = 80
9x -1 = 80
9x = 81
x = 9
3(9) +5 = 32
< DBC = 32
6(9)-6 = 48
<ABC = 48
HELP ME PLLEEAASEEE:(((
Answer:
meets at a 90° in the following question.
Gloria earns $875 a month
babysitting. If she worked 4
hours a day for 25 days this
month, how much did she
make each hour?
Please help-
I don't understand how to fiure this out-
Answer:
It's y< -3/2x -2
Step-by-step explanation:
put each answer choice into desmos and match the graphs.
3/2b+1/4=5/8
What is it?
Please help
Answer:
3.2b=5.8-1.4 3/2b=4/4 so b=3.2/4.4
Tom wins at chess 180 times in every 250.Daisy wins three quarters of the time.Jacob wins 328 times in every 400?Work out who has the best percentage score.
Answer:
Jacob has the best percentage score of 82%
Step-by-step explanation:
Tom wins at chess 180 times in every 250
Daisy wins 3/4 of 180 times
Jacob wins 328 times in every 400
Tom's percentage score = [tex]\frac{180}{250} * 100[/tex] = 72%
Daisy wins [tex]\frac{3}{4} * 180 = 135[/tex] times
Daisy's percentage score = [tex]\frac{135}{250} * 100[/tex] = 54 %
Jacob's percentage score = [tex]\frac{328}{400} * 100[/tex] = 82%
∴ Jacob has the best percentage score.
Need help ASAP please
Answer:
Terms for 4a^2-5a-3: 4a^2, -5a, -3
Terms for Equation 2 is correct.
Constants for 4a^2-5a-3: -3
Constants for Equation 2 is correct.
Coefficients for 4a^2-5a-3: 4, -5
Coefficients for Equation 2: 7, -3
Step-by-step explanation:
Alexandra's family took a road trip to the Grand Canyon. Alexandra slept for the last 48 miles of the trip. If the total length of the trip was 800 miles, what percentage of the total trip had they travelled when Alexandra fell asleep
Answer:
She fell asleep for 6% of the trip.
Step-by-step explanation:
You take 48 and divide it by 800. That gives you 0.06.
0.06 equals 6%.
Answer:
6%
Step-by-step explanation:
Divide 48 and 800 together.
48/800 = 0.06
48 is the miles she's sleeping and 800 is the total miles.
So, she was asleep only 6% of the trip.
Hope this helped.
A spinner contains six sections of equal probability. Two sections are purple, two sections are red, one section is yellow and one section is blue. If you spin blue, you win $20. If you spin yellow, you win $10. If you spin red, you win $1 and if you spin purple you win nothing. How much would you need to be charged in order to make this a fair game
Answer: i wold charg 5 dollers
Step-by-step explanation:
sorry if im rong i dont know
if i under stood the question
The quotient of 15 y
will mark brainliest if correct
Answer:
identity
commutative
associative
distributive
Step-by-step explanation:
Express 6/2+i
with a real dersominator,
a. Find the conjugate of the denominator
b. Express with a real denominator
please help me please
Step-by-step explanation:
b. (3a²-9a)/(a²-9)
3a(a-3)/(a-3)(a+3)
3a/(a+3)
Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n: A. 128; B. 87; C. 64; D. 97; E. 70.
Answer: D
Step-by-step explanation:
100!=2*3*4*...*100
Counting which numbers are divisible by 2:
2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)
Counting which numbers are divisible by 4=2²:
4,8,12,16,20,...96,100: 25 numbers (100/4=25)
Counting which numbers are divisible by 8=2³:
8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)
Counting which numbers are divisible by 16=2⁴:
16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)
Counting which numbers are divisible by 32=2⁵:
32,64,96 : 3 numbers(100/32=3.125 ==>3)
Counting which numbers are divisible by 64=2⁶:
64 : 1 number (100/64=1.5625 ==>1)
Sum of those numbers= 50+25+12+6+3+1=97
100! is divisible by 2⁹⁷.
Answer D
Plz help!! Math isn’t my thing. I’ll give brainliest.
Answer:
(2, - 6 )
Step-by-step explanation:
Use the mid point formula and equate to each coordinate of the midpoint
with endpoints (x₁, y₁ ) and (x₂, y₂ ) then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
let S = (x, y) , then
[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )
x = 2
and
[tex]\frac{y+2}{2}[/tex] = - 2 ( multiply both sides by 2 )
y + 2 = - 4 ( subtract 2 from both sides )
y = - 6
Then S (2, - 6 )
If 5x + 3 = 23 , what does 12x - 10 equal ?
Answer:
38
Step-by-step explanation:
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
12x-10 = ?
12 (4) -10
48 -10
38
The value of the expression 12x - 10 will be 38.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.
5x+3 = 23
5x = 23-3
x = 20/5
x = 4
Calculate the value of 12x - 10.
12x-10 = ?
12x-10 = 12 (4) -10
12x-10 = 48 -10
12x-10 = 38
Therefore, the value of the expression 12x - 10 will be 38.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
There are 35 houses in a neighborhood AT&T providers Internet service to 1/5 of the houses spectrum provides Internet service to 2/7 of the houses the remaining houses use hotspot as your Internet provider in this neighborhood how many houses use hotspot is there Internet provider
Total number of houses use hotspot is 18 houses
Step-by-step explanation:
Given that;
Number of total houses = 35
AT&T providers Internet service = [tex]\frac{1}{5}[/tex] of total house
Spectrum providers Internet service = [tex]\frac{2}{7}[/tex] of total house
Find:
Total number of houses use hotspot
Computation:
Number of houses AT&T providers Internet service = [tex]35 \times \frac{1}{5}[/tex]
Number of houses AT&T providers Internet service = 7
Number of houses Spectrum providers Internet service = [tex]35 \times \frac{2}{7}[/tex]
Number of houses Spectrum providers Internet service = 10
Total number of houses use hotspot = 35 - 7 - 10
Total number of houses use hotspot = 18 houses
Learn more:
https://brainly.com/question/18134643?referrer=searchResults
Write an algebraic expression for each verbal expression. 1. the sum of k and 8
2. 17 less than a number x times 9
6. four times the difference of a cubed and 8
PLZ HELP ASAP
Answer:
k + 8 = y
9x - 17
4(x²-8)
Can someone help I do not understand how to do this
Answer:
a) C = 1.40 + .4M
b) $4.60
c) 46.5 <= M (miles)
Step-by-step explanation:
a) Cost = initial fee + 0.40 * miles OR
C = 1.40 + .4M
b) C = 1.40 + .4M
C = 1.40 + .4 * 8
C = 1.40 + 3.20 = 4.60
c) C <= 20 so
20 <= 1.40 + .4M
20 - 1.40 <= .4M
18.60/.4 <= M
46.5 <= M
Which expression is equivalent to 4x4y - 8x*y - 32x+y?
Answer:
Option D
Step-by-step explanation:
Hope it will help you.
Answer:
It is 4x²y(x - 4)(x + 2)
Step-by-step explanation:
[tex] {4x}^{4} y - {8x}^{3} y - {32x}^{2} y[/tex]
factorise out 4x²y :
[tex] = 4 {x}^{2} y( {x}^{2} - 2x - 8)[/tex]
find the factors of x² - 2x - 8:
[tex] = 4 {x}^{2} y \{(x - 4)(x + 2) \}[/tex]