Answer:
[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]
from difference of two squares:
[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]
[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]
hence proved
Um- Please help me, Thanks in advance
(1) Combining fractions is just a matter of writing each individual fraction in terms of a common denominator. The least common multiple of 6, 4, and 8 is
LCM(6, 4, 8) = 24
since 6×4 = 4×6 = 8×3 = 24. So
2/6 = (2×4)/(6×4) = 8/24
1 1/4 = 4/4 + 1/4 = 5/4 = (5×6)/(4×6) = 30/24
13 4/8 = 104/8 + 4/8 = 108/8 = (108×3)/(8×3) = 324/24
Then
2/6 + 1 1/4 + 13 4/8 = 8/24 + 30/24 + 324/24 = 362/24 = 181/12
(2) We have
LCM(12, 9) = 36
since 12×3 = 9×4 = 36. Then
121 2/12 = 1452/12 + 2/12 = 1454/12 = (1454×3)/(12×3) = 4362/36
781 6/9 = 7029/9 + 6/9 = 7035/9 = 2345/3
Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?
Answer:
Subtract 6 from both sides and then divide by 2. The solution is x = 8.
Thank You
Answer:
x=8
Step-by-step explanation:
MARKING BRAINLIEST !!
which of the following are properties of all parallelograms select all that apply
answers
4) opposite sides are parallel
1) opposite angles are equal
5) all are quadrilateral
property's of a parallelogram
1)sum \: of \: angeles \: = 180 \\ 2)opposite \: sides \: are \: cogruent \\ 3)opposite \: angles \: are \: congruent \\ 4)cosecutive \: angles \: are \: supplymentary \\ 5)diaganols \: bisect \: \\ thnk \: you[/tex]
a) 7 + (15 – 6) simplify
Answer:
7+9
16
Step-by-step explanation:
first apply bodmas rule
Answer:
16
Step-by-step explanation:
Using BODMAS
Firstly we will simplify the brackets one
So (15 - 6)=9
Now 7+9=16
What number is 1/10 of 8,000,000
Answer:
8,00,000
Step-by-step explanation:
I think this is
The product of the numbers 1/10 and 8,000,000 will be 800,000.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The numbers are given below.
1/10 and 8,000,000
The product of the numbers 1/10 and 8,000,000 will be
⇒ (1/10) x 8,000,000
⇒ 800,000
The product of the numbers 1/10 and 8,000,000 will be 800,000.
More about the Algebra link is given below.
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How to solve this
6x times 1/6
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $74.80 how many KWH of energy were used in your house this month?
Answer:
623.33 KWH
Divide 74.80 by .12
find the decimal equivalent of the fraction 1/6
Answer:
0.16666666666
Step-by-step explanation:
Which is further away from zero on the number line -8 or 8
Answer:
Both are equally distant from 0 on a number line.
Step-by-step explanation:
Both are equally distant from 0 on a number line, they are just in opposite directions.
Answer:
Both are same distance
Step-by-step explanation:
-8 is in the opposite direction of the positive 8
WOULD A KIND S0UL PLEASE HELP ME OUT???!!!!!!!!!!!!
triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.
please show your work so I can see if your answer makes sense!!!!
Answer:
(-2,1) (-8,2) (-4,7)
Step-by-step explanation:
just look at the points r's't
plz help me find the slope
Answer:
4/5
Step-by-step explanation:
Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up
Up is Y value
Front is X value
To solve it is adding the value that you get from moving it in this case
5 front X equals to 5
4 up Y equals to 4
Then is 4/5
because the formula is Y/X
How many solutions exist for -2|3x − 1| = 0?
A. 0
B. 1
C. 2
D. 3
Answer:
B. 1
Step-by-step explanation:
-2|3x − 1| = 0
Divide by -2
|3x − 1| = 0
There is only one solution since 3x-1 must equal 0
3x = 1
x = 1/3
Answer:
The correct choice is option B. 1
See attached image for my step-by-step explanation, the final answer is in red.
Who on this app goes to Hixson High?
Find the degree of the monomial 3x4y3
The degree of the monomial 3x4y3 is 7
list of all numbers less than 30 are divisible by 8?
Answer:
Step-by-step explanation:
The numbers less than 30 that are diviisible by 8 are,
24, 16, 8
i think this is all because these are the only numbers 8 can divide into to get a whole number.
calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum
I didn’t know how to put the question so the image below is the question
Answer:
b) (I think)
Step-by-step explanation:
What exactly is the question?
Hope this helps!
Have a nice day! :-)
What is the answer ?
Answer:
27
Step-by-step explanation:
36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.
Answer:
Step-by-step explanation:
Can someone please help me I don’t know how to do this (Due today)
Answer:
The answers are in the photo taken
Step-by-step explanation:
Pls mark as brainlest
if 3/4 part of the distance between two places is 45 km find the distance between the places.
Let distances be x
ATQ
[tex]\\ \rm\hookrightarrow \dfrac{3}{4}x=45[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{3x}{4}=45[/tex]
[tex]\\ \rm\hookrightarrow 3x=45(4)[/tex]
[tex]\\ \rm\hookrightarrow 3x=180[/tex]
[tex]\\ \rm\hookrightarrow x=\dfrac{180}{3}[/tex]
[tex]\\ \rm\hookrightarrow x=60[/tex]
I don't understand what the question is asking.
Answer:
You are supposed to find how much 2 packages of chicken costs when each package is 12.36, 1/2 lb of broccoli when one pound costs 1.98, and 1 gallon of milk with 3.49 per gallon. After that, you need to find how much Susan paid with when she recieved 80 cents in change.
(2*12.36)+(1.98*0.5)+3.49+0.80=x
find out what x is to get the answer.
a) A shopkeeper sold a mobile set for Rs 9,600 and made a loss of 5%. For what price should he sell it to gain 10%?
Step-by-step explanation:
Click this photo.Hope it is helpful...what is the domain of the function y=6x+2
a. all real numbers greater than or equal to zero
b.all whole numbers
c.all real numbers
d.all integers
please help i will give brainly
Answer:
c
Step-by-step explanation:
y = 6x + 2 is a straight line, that is a linear function
It is valid for all real numbers , then
domain is all real numbers
The domain of the function y=6x+2 is all real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible input values (also known as the independent variable).
In the function y = 6x + 2, x can be any real number.
There are no restrictions or conditions on the values that x can take.
The domain of this function is all real numbers.
Hence, the domain of the function y=6x+2 is all real numbers.
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The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?
The sales tax on this printer is $20.94
What is sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
Given that, the price of a printer is $349.00 having a 6% sales tax.
Sales tax = 6% of $349.00
$349.00 x 0.06 = $20.94
Hence, the sales tax on this printer is $20.94
For more references on sales tax, click;
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the ratio of length and breadth of a rectangle is 3:1
Step-by-step explanation:
no her answer is lxb this answer is right for you
4 |m - n|
-if m = -7 and n= 2
Answer:
9
Step-by-step explanation:
I m - n I = I -7 - 2 I
{ Both are negative integers. So, add and result will have the negative sign}
= I -9 I
= 9
Answer:
-36
Step-by-step explanation:
We have the equation 4 lm - nl , along with the values, m is equal to -7 and n is equal to 2.
To solve, we need to only substitute the values of each variable into the original equation :
4 |-7 - 2|
First solve the equation within the absolute value, any value that comes out of those brackets become positive :
|-7 - 2|
|-9|
4|-9|
4(-9)
Now multiply to get our answer:
4(-9)
-36
You have 2 five-dollar bills, 4 one-dollar bills, 2 quarters, I nickel, and 2 pennies. a. What is the value of the bills? b. What is the value of the coins? c. How much money do you have?
Answer:
a: [tex]\$ 14[/tex] or [tex]14[/tex] dollars
b: [tex]\$0.57[/tex] or [tex]57[/tex] cents
c: [tex]\$14.57[/tex] or [tex]14[/tex] dollars and [tex]57[/tex] cents
Step-by-step explanation:
a: We have [tex]2[/tex] [tex]\$5[/tex] bills, which have a total value of [tex]2*5= \$10[/tex]. We also have [tex]4[/tex] [tex]\$1[/tex] bills, which have a total value of [tex]4*1= \$4[/tex]. Adding these up gives us [tex]10+4= \bf \$14[/tex] or [tex]\bf 14[/tex] dollars for the total value of the bills.
b: Remember that a quarter is worth [tex]\$0.25[/tex], a nickel is worth [tex]\$0.05[/tex], and a penny is worth [tex]\$0.01[/tex]. Therefore, [tex]2[/tex] quarters are worth [tex]2*0.25=\$0.50[/tex], [tex]1[/tex] nickel is worth [tex]1*0.05=\$0.05[/tex], and [tex]2[/tex] pennies are worth [tex]2*0.01=\$0.02[/tex]. Adding these up gives us [tex]0.50+0.05+0.02=\bf \$0.57[/tex] or [tex]\bf 57[/tex] cents for the total value of the coins.
c: We know that the total value of the bills is [tex]\$ 14[/tex] (or [tex]14[/tex] dollars) from Part A and the total value of the coins is [tex]\$0.57[/tex] (or [tex]57[/tex] cents) from Part B. Therefore, we have [tex]14+0.57=\bf \$ 14.57[/tex] in total or [tex]\bf 14[/tex] dollars and [tex]\bf 57[/tex] cents.
Hope this helps!
The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?
Answer:
Step-by-step explanation:
x + y + n = 576
When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example
20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.
n = 1.25(x + y) Divide by 1.25
n / 1.25 = x + y Substitute n / 1.25 for x + y in the above equation
n/1.25 + n = 576 Multiply everything by 1.25
n + 1.25n = 576*1.25 Combine the left to get 2.25
2.25 n = 576 * 1.25 Divide by 2.25
n = 576*1.25 / 2.25
n = 320
classify the following numbers as rational or irrational root 27
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{27}=\sqrt{3*3*3} =3\sqrt{3}\\\\\sqrt{3} \ is \ a \ irrational \ number. \ So, \ 3\sqrt{3} \ is \ a \ irrational \ number.[/tex]
Answer:
Root 27 is Irrational.
As it doesnt comes in fraction or decimal.
It is non terminating non repitiong.
Its value will be 3.134635366363535
Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)
9514 1404 393
Answer:
x +4y = -5
Step-by-step explanation:
The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.
3x +12y = 3(-5) +12(0)
3x +12y = -15
We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:
x + 4y = -5