Answer:
Hi,
LHS = sinA-cosA+1/sinA+cosA-1
divide both numerator and denominator by cosA
LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)
Now
sec2A=1+tan2Asec2A=1+tan2A
sec2A−tan2A=1sec2A−tan2A=1
Using above relation at denominator of LHS
LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)
LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))
LHS=1/(secA−tanA)LHS=1/(secA−tanA)
LHS=RHSLHS=RHS
Hence Proved.
I think above proof will clear your doubt,
All the best.
write an explicit rule for the sequence
Find BA
CB + BA = CA
7x-2 + 5x+1 = 23
Answer:
BA = 11
Step-by-step explanation:
CB + BA = CA , substitute values
7x - 2 + 5x + 1 = 23, that is
12x - 1 = 23 ( add 1 to both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Thus
BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11
que es un experimento determinista
Answer:
Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.
Step-by-step explanation:
what is a deterministic experiment
A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.
Find the rate of change of y with respect to the x of the line that passes through points (-28,8) and (-42,15)
Answer:
-1/2
Step-by-step explanation:
8-15 = -7
-28 - -42 = 14
-7/14 = -1/2
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
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The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet
Answer:
Distance on drawing is 11.7 feet.
Step-by-step explanation:
A scale is a factor that can be used to either increase or decrease the size of an object.
Scale = [tex]\frac{distance on drawing}{original distance}[/tex]
Given that:
scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches
So,
[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]
distance on drawing = [tex]\frac{3*93}{2}[/tex]
= [tex]\frac{279}{2}[/tex]
= 139.5
distance on drawing = 139.5 inches
Since 12 inches = 1 foot, then;
Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]
= 11.625 feet
Distance on drawing is 11.7 feet.
74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a rational number. 74 is not a rational number, and it is not a whole number.
Answer:
Option C: 74 is both a whole number and a rational number.
Step-by-step explanation:
A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.
Examples include -1/4, 1/2, 12
So it's obvious that the given number of 74 is a rational number.
Now, a whole number is simply a non - negative integer.
An integer is a number that is not a fraction.
Thus, examples of whole numbers are 0, 1, 2, 3, 4...
So 74 is clearly a whole number.
Therefore, we can conclude that 74 is both a whole number and a rational number.
Find the measure of the indicated angle to the nearest degree
I need the answer ASAP please
Answer:
Remainder → (76)
Step-by-step explanation:
Given function;
f(x) = x² - 5
f(x) = x² + 0.x - 5
We have to divide this function by expression (x + 9).
x + 9) x² + 0.x - 5 (x - 9
x² + 9x
- 9x - 5
- 9x - 81
76
Therefore, by dividing the function 'f' by (x + 9) remainder is (76).
Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations.
Answer:
1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.
2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.
3.) Because of the negative interest, the compounded amount is only $695,929.30.
4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.
Step-by-step explanation:
If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.
He Martins have a solar energy system. The system produces 9.1 Kilowatts of energy each hour. The system produces electricity for 5 hours each day. How much energey, in KWh, will the system produce in 100 day?
Answer:
4550 kilowatt
Step-by-step explanation:
Given that :
Amount of energy produced per hour by solar energy system = 9.1 kw per hour
Number of hours for which electricity is produced per day = 5 hours
How much energy will be produced in 100 days
Number of kilowatt of energy produced per day:
Energy produced per hour * number of hours
9.1 kw per hour * 5 hours = 45.5 Kilowatt per day
In 100 days :
Daily energy produced * number of days
45.5 kilowatt * 100 days
4550 kilowatt
Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?
Answer:
f(x) = - 4x² - 20x + 56Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
f(x) = -4(x - 2)(x + 7)
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
f(x) = -4x² - 20x + 56
The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is
f(x) = -4 ( x - 2 ) ( x + 7 )
Its standard form is
f(x) = -4x² - 20x + 56.
What is a parabola?It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
We have,
To find the equation of a parabola we use the factored form of a quadratic equation.
f(x) = a ( x - m ) ( x - n)
Where a is the leading coefficient and m and n are the zeros of the quadratic.
The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,
m = 2
n = -7
Now the equation passes through (1, 32) = (1, 32) so we have,
32 = a ( 1 - 2 ) ( 1 - (-7) )
32 = a ( -1 ) ( 1 + 7 )
32 = a ( -1 )8
32 = -8a
a = -32 / 8
a = -4
We have,
m = 2
n = -7
a = -4
The equation of the parabola is:
f(x) = a ( x - m ) ( x - n)
f(x) = -4 ( x - 2 ) ( x + 7 )
We can expand to its standard form as:
f(x) = ( -4x + 8 ) ( x + 7 )
f(x) = -4x² - 28x + 8x + 56
f(x) = -4x² - 20x + 56
Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.
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A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor
Answer: 5:8
Step-by-step explanation:
Given: Total animals in the pet store = 40
Number of animals that are puppies= 15
Number of animals that are not puppies= 40- 15 = 25
Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.
So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]
Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].
Hence, the required ratio = 5:8
Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D
Answer:
B. Line B
General Formulas and Concepts:
Algebra I
Undefined slopes are when x equals a certain number.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
From the given choices, B is the correct answer.
A has a slope of 0, so m = 0 and would become a horizontal line.
C has a negative slope, so it is not undefined.
D has a positive slope, so it is not undefined.
B shows a vertical line, and so it has an undefined slope.
Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter before he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional
Answer:
5 weeks if it stays the rate of 3 quizzes a week
brainliest if correct please
Step-by-step explanation:
Find the GCF using any method:
36, 84, and 90
Answer:
6
Step-by-step explanation:
Big brain
using the same application you used in part f, reflect the line segment across the x-axis. then, rotate it 90° clockwise. Finally. translate it down 2 units. what is the relationship between the original line segment and the transformed segment ? if you transform a line segment with a seweurnce of reflections, to stations, or translations, is it still a line segment ?
Answer:
non
Step-by-step explanation:
PLEASE HELP!! BRAINLIEST AND 10 POINTS !!
Answer:
Give brainliest first then I’ll give the answer
Step-by-step explanation:
due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.
Answer:
After 8 weeks, Faith would have $88. money saved = 40+6w
Answer:
$88 saved in 8 weeks
Step-by-step explanation:
Part 1:
You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.
Part 2:
40 + 6w = t
w would represent the number of weeks, t would represent the total number of money saved.
Grayson biked 45 miles in 3 hours.Maya bikes 26 miles in 2 hours.If they both kept a constant speed,how much faster did Grason Bike than Maya
Write your answer as a decimal or a whole number
Answer:
2
Step-by-step explanation:
Divide 45 and 3, then divide 26 and 2. subtract those answers and u get 2. (the dude that said your mom has no life and got his mom raped)
Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.
As we know,
The speed = distance/time
Plug the respective values in the above formula:
For Grayson:
speed = 45/3 = 15 miles/hour
For Maya:
speed = 26/2 = 13 miles/hour
Difference in speed = 15 - 13 = 2 miles/hour
Thus, Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.
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A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
−6x+7x+4x-3x-3y-2x+4x
combine like terms
−6x+7x+4x-3x-3y-2x+4x
−6x+7x+4x-3x-2x-+4x-3y
4x-3y
:)
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?
Answer:
5.5
hope this helped!!!!!
what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist
Answer:
19
Step-by-step explanation:
1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.
2. Add. 18 + 1 is 19.
Student Council is sponsoring the next school dance. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many total pizzas will they order if they plan to order 36 pepperoni pizzas for the dance?
Answer: 60 pizzas
Step-by-step explanation:
From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.
Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:
= 36 × 2/3
= 24 cheese pizzas
The total pizza ordered will now be:
= Cheese pizzas + Pepperoni pizzas
= 24 + 36
= 60 pizzas
Answer:
60
Step-by-step explanation:
60 trust me
Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?
Answer:
7 boxes
Step-by-step explanation:
one step equations, solve:
-6=y+2
What is the solution set of the following equation?
-8x + x + 15 = -7x + 12
Answer:
-3 is the solution set of the following equation
4x-2y = 2
3x-2y=-19
Help
Answer:
{x,y}={21,41}
Step-by-step explanation:
Step by Step Solution:
More Icon
System of Linear Equations entered :
[1] 4x - 2y = 2
[2] 3x - 2y = -19
Graphic Representation of the Equations :
-2y + 4x = 2 -2y + 3x = -19
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y - 19
[2] x = 2y/3 - 19/3
// Plug this in for variable x in equation [1]
[1] 4•(2y/3-19/3) - 2y = 2
[1] 2y/3 = 82/3
[1] 2y = 82
// Solve equation [1] for the variable y
[1] 2y = 82
[1] y = 41
// By now we know this much :
x = 2y/3-19/3
y = 41
// Use the y value to solve for x
x = (2/3)(41)-19/3 = 21
Solution :
{x,y} = {21,41}
Answer: {x,y}={21,41}
1 There are 4 trucks for every 5 cars in a parking lot. How many trucks and
cars could be in the parking lot?
A 64 trucks and 80 cars
B
72 trucks and 73 cars
C.
84 trucks and 100 cars
D.
96 trucks and 110 cars
Answer:
A. 64 trucks and 80 cars
Step-by-step explanation:
The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.