Step-by-step explanation:
(secx-tanx)(secx+tanx)
=sec^2-tan^2
=1
Answer:
Step-by-step explanation:
LHS = (sec x - tan x)(Sec x - tan x)
= sec² x - tan²x {(a +b)(a-b) = a² - b²}
[tex]= \dfrac{1}{Cos^{2} \ x}-\dfrac{Sin^{2} \ x}{Cos^{2} \ x}\\\\\\= \dfrac{1-Sin^{2} \ x}{Cos^{2} \ x}\\\\= \dfrac{Cos^{2} \ x}{Cos^{2} \x}\\\\= 1[/tex]
Hence proved.
If (a, - 8) is a point on the graph of y=x + 6x, what is a?
First, [tex]y=7x[/tex] and when we plug in the point we get [tex]-8=7a\implies a=-\frac{8}{7}[/tex].
Hope this helps :)
The number of [tex]x[/tex] satisfying [tex]| x - 2 |^{10x^2 - 1} = |x - 2|^{3x}[/tex] is
A. 5
B. 6
C. 2
D. 4
Answer:
D. 4
Step-by-step explanation:
Without actually solving the equation, recall that for [tex]a=|b|[/tex], there are two cases:
[tex]\begin{cases}a=b, \\a=-b\end{cases}[/tex]
In the given equation [tex]|x-2|^{10x^2-1}=|x-2|^{3x}[/tex], there are two pairs of absolute value symbols.
Since each has two cases, there must be a total of [tex]2\cdot 2=\boxed{4}[/tex] different equations created.
All four cases are:
[tex]\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}[/tex]
Exponents differ, hence clearly there are four possible solutions to this equation.
You can solve for all four values of [tex]x[/tex] by taking the log of both sides and using a bit of algebra to verify you have four solutions.
i don't understand this. 20pts
Answer:
I THINK it's point T I hope this helps
Answer:
Step-by-step explanation:
A ray has no endpoint.
In the figure the starting point for the 3 rays is S.
Please help!!!
Thank you!
because
Step-by-step explanation:
the cube of 2 is 8 and the cube of 3 is 27 and when u take out the bracket the answer comes
HELP PLEASE ASAPP......
Answer:
-15
-12
10
|-12|
|-26|
Step-by-step explanation:
Basically, the absolute value turns the -'s into +'s so the |-26| turns into a 26. Thus, when you convert the two numbers out of the absolute value, it's easy then on.
Answer:
-15, -12, |10|, |-12|, |-26|
Step-by-step explanation:
The bars around three of the numbers are absolute value bars. The absolute value of a number is its distance from 0. Since distance cannot be negative, a number's absolute value will just be that number but positive. Therefore, the largest number listed is |-26| because it equals 26. Then, -15 is the smallest number represented.
The perimeter of figure one is four times a number minus three. The perimeter of figure two is two times the same number plus five. The perimeter of figure 1 and figure 2 are the same.
a. Write an equation to find the number
b. Solve the equation to find the number
c. What is the perimeter of Figure 2? Explain.
Answer:
Let the no. be x.
Therefore,
PERIMETER 1=4x-3
PERIMETER 2=2x+5
Since,
Both PERIMETER are equal .
Therefore,
4x-3=2x+5
2x=8,
x=4
PERIMETER 2 =2×4+5
=13
The answer will be ;
a) The equation to find the number will be 4x-3 = 2x +5
b) After solving the equation we get value of number equal to 4.
c) Perimeter of figure 2 will be equal to 13.
It has been given that there are two figures. Perimeter of figure 1 is four times a number minus three whereas, perimeter of figure 2 is two times the same number plus five.
We have to solve given subparts of the question based on data given.
What is the perimeter ?
Perimeter is the distance around the edge of a shape.
Let the number be x.
Perimeter of figure 1 will be equal to 4x - 3
Perimeter of figure 2 will be equal to 2x + 5
a) As per the question perimeter of both the figures are equal.
So, the equation will be ,
4x-3 = 2x+5
b)
∵ 4x -3 = 2x + 5
4x-2x = 3 + 5
2x = 8
x = 4
Thus the number is 4.
c) Perimeter of figure 2 = 2x + 5
= (2 × 4 ) + 5
= 13
Thus, the perimeter of figure 2 will be equal to 13.
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find the area and the perimeter of a square with a side length of 5.5 inches include the units in your answer
Answer:
If the side of a square is a, then:
A = a² and P = 4aSo the area is:
A = 5.5² = 30.25 in²The perimeter is:
P = 4*5.5 = 22 inA supervisor wants to know the average number of hours worked by employees in a factory. There are 18 managers, 240 laborers, and 54 administrators. Three managers are chosen to participate in the survey. In order for the sample to accurately represent the population, about how many administrators should be chosen?
Answer:
9 test
Step-by-step explanation:
There should be 9 administrators chosen.
What is proportion?A proportion is a comparison of two numbers that each represent the parts of a whole.
Given that, A supervisor wants to know the average number of hours worked by employees in a factory. There are 18 managers, 240 labourers, and 54 administrators. Three managers are chosen to participate in the survey.
Since, the manager chosen 3 out of 18 managers, hence, the proportion is 1 to 6 persons,
Therefore, when he is choosing administrators, 54/6 = 9
Hence, there should be 9 administrators chosen.
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Round 9094 to the nearest thousand
Answer:
Assuming the number is 9.094 the answer is 9.094 If it is whole number it is 9000
Step-by-step explanation:
The tens place is .0
The Hundreds place is .09
The thousands place is .094
if you are talking about whole numbers: it's 9000
When rounding, 5 and above it is rounded up, and 4 and below is rounded down.
So for this problem you only need to look one place to the right.
9094 Because that number is 0 that means you round down.
Can someone help me with this geometry
Answer: 11
Step-by-step explanation:
Complementary angles mean both angles sum 90°, then:
(3x + 2)° + 5x° = 90°
3x° + 2° + 5x° = 90°
8x° + 2° = 90°
8x° = 88°
x = 11
Confirmation:
(3x + 2)° 5x°
(3(11) + 2)° 5(11)x°
(33 + 2)° 55x°
35°
35° + 55° = 90°
divide a 5 inch line into two parts so that one part is (a) 2 1/4 inches shorter than the other; (b) 3 times the other pls write how u did it pls and thank u
Answer:
(b) 3 times the other pls write how u did it pls and thank u
Step-by-step explanation:
The table represents the equation y = 2 - 4x
х
y
Use the drop-down menus to complete the statements
The x-values are the
The y-values are the
The missing value in the table for x = -1 is y = 1
V
-2
10
-1
0
2
1
-2
-6
N
It
Answer:
the x-values are the inputs
the y-values are the outputs
the missing value in the table for x = -1 is y = 6
Step-by-step explanation:
Lindsey needs a jeweler to repair her earrings. Jeweler A is offering her services for an initial $130 in
addition to $15 per hour. Jeweler B is offering his services for an initial $142 in addition to $11 per hour.
When will the two jewelers charge the same amount of money?
How the answer
the quotient of five times a number 7 is no more than 10
Answer:
[tex]x \ge3.5[/tex]
Step-by-step explanation:
First, write the given in the form of a mathematical equation rather than words. I'll call the mystery number given in the question [tex]x[/tex]:
[tex]\frac{5*7}{x} \leq 10[/tex]
Simplify:
[tex]\frac{35}{x} \leq 10[/tex]
Solve for x:
[tex]\frac{35}{x} *x\leq 10*x[/tex]
Simplify the fraction:
[tex]35\leq 10x[/tex]
Divide by 10 to isolate x:
[tex]\frac{35}{10} \leq x[/tex]
Flip the equation around to make it easier to read:
[tex]x \ge \frac{35}{10}[/tex]
Simplify the fraction:
[tex]x \ge \frac{7}{2}[/tex] or [tex]x \ge3.5[/tex]
what is 6y - (6 + 4y) = 26 ?? pls help
Answer:
y = 16
Step-by-step explanation:
6y - (6 + 4y) = 26
6y - (6 + 4y) = 2y - 6
2y - 6 = 26
+6 +6
-------------------
2y = 32
/2 /2
-------------------
y = 16
A patch of six cans of coffee cost $12 how much would 19 cans of coffee cost
Answer:
$38
Step-by-step explanation:
6 cans is $12
1 can is 12/6 = $2
$2 x 19 = $38
Alternative way:
19/6 = 3 1/6
3 1/6 * 12 = 36 + 2 = 38
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
theres another question after this one, using the same plane.
AC is contained in Plane M
(AC is going in 2 different directions if thats make sense)
Answer: true
Step-by-step explanation:
Equation : 12v + 10v + 14 = 80
What is v equaled to?
Answer:
this can be simplified
12v + 10v + 14 = 80
22v + 14 = 80
22v = 66
v = 3
Answer:
v = 3
Step-by-step explanation:
12v + 10v = 22v
22v + 14 = 80
Subtract 14 from both sides.
80 - 14 = 66
22v = 66
now divide both sides by 22
66/22 = 3
v = 3
Can someone pls help step by step
Answer:
Area of triangle is
Area= 1/2 × base × height
A = 1/2 × 35 × 16
A = 280
Area of a triangle is :
[tex] \boxed{ \boxed{ \frac{1}{2} \times base \times height}}[/tex]
let's solve :
[tex] \hookrightarrow \: \dfrac{1}{2} \times 35 \times 16[/tex]
[tex] \hookrightarrow \: 35 \times 8[/tex]
[tex] \hookrightarrow \: 280 \: \: {cm}^{2} [/tex]
The simple interest on a sum of money in 2 years is Rs 90 less than its compound interest. If the rate of interest in a year is 15%, find the sum.
Answer:
hence, the req sum of amount is Rs 213.07
check both the files . and got any confusion then comment it .
hope this helped you
yo i could use some help please, thank you
Answer:
12.5
Step-by-step explanation:
Olivia and Brittany each made a bowl of punch. Brittany used 2 3/5 times as much lemonade as Olivia did. If Olivia used 2 cups of lemonade, how many cups of lemonade did Brittany use?
Write your answer as a fraction or as a whole or mixed number.
--cups
Answer:
5 2/10
Step-by-step explanation:
3/5= .6, 2.6*2= 5.2, 5 2/10
A rational
number
greater than
10 with
a
2-digit repeating pattern
Answer:
[tex]\frac{1015}{99}[/tex]
Step-by-step explanation:
x = 10.2525252525....
100x = 1025.2525252525....
x = 10.2525252525....
---------------------------------
99x = 1015
x=1015/99
Solve for X ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
(x - 8) + (2x - 4) = 15
3x - 12 = 15
+12 +12
3x = 27
Divide by 3 on both sides:
x = 9
Answer:
x = 9
Step-by-step explanation:
➼first, let's put it into an equation
(x - 8) + (2x - 4) = 15
➼next, add up the common terms
-since there are two variables with x and two number variables, we will rewrite the equation and solve
(-8 - 4) + (2x + x) = 15
-8 - 4 = -12
2x + x = 3x
plug in:
-12 + 3x = 15
➼now get x alone by first getting rid of 12
-do this by doing opposite and adding 12 to everything
-12 + 12 = 0
12 + 15 = 27
plug in:
3x = 27
divide 3 both sides
27/3 = 9
3/3 = 0
➼x = 9
The double of a number plus 12 is equal to its triple minus 5. What is the number? [tex]2x + 12 = 3x - 5[/tex] if I'm not wrong
Hi there!
»»————- ★ ————-««
I believe your answer is:
17
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + 12 = 3x - 5\\--------------\\\rightarrow 2x + 12 - 12 = 3x - 5 - 12\\\\\rightarrow 2x = 3x -17 \\\\\rightarrow2x -3x = 3x-3x - 17\\\\\rightarrow -x = - 17\\\\\rightarrow \frac{-x=-17}{-1} \\\\\rightarrow \boxed{x = 17}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
5.9x-3.3 simplify the expression for the perimeter of the square
I need help
Answer:
5.9x3.3=19.47
i am glad to help you have a good day:) stay safe.
The value of the perimeter of the square become is 23.6x - 13.2.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
What is the perimeter of the square?The perimeter of a square is defined as the addition of the lengths of the square.
The perimeter of a square = 4a
Where a is the length of the side of the square
The perimeter of a square = 4a
Here a = 5.9x-3.3
Substitute the value of a = 5.9x - 3.3 in the formula, and we get
Perimeter of square = 4(5.9x - 3.3)
Perimeter of square = 23.6x - 13.2
Therefore, the value of the perimeter of the square become 23.6x - 13.2.
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Jamie has $14. This is $5 less than twice what his brother has. How much does his brother have
Answer:2
Step-by-step explanation:14/2 = 7 - 5 =2
First, let's define our variable
x = brother's money
Now, let's create an equation to model the problem.
$14 = 2x - $5
Add 5 to both sides.
$19 = 2x
Divide both sides by 2
$9.5 = x
His brother has $9.5
Help Y:_,_ X:_,_ / Can someone explain
Someone help me please ASAP and I’ll mark BRAINLIEST and This is worth 100 points!!
Answer:
5. 7(x - 2) + 1 = -34
7x - 14 + 1 = -34
7x - 13 = -34
7x = -34 + 13
7x = -21
x = -21/7 = -3
6. 10x + 4 - 8x = 2(x - 1)
2x + 4 = 2x - 2
Cancel 2x means this equation has no solution
8. 5(x - 3) + 1 = 5x - 14
5x - 15 + 1 = 5x - 14
5x - 14 = 5x - 14
5x - 5x = -14 + 14
0
9. 2x + 3 = 5x + 3 - 3x
2x + 3 = 2x + 3
2x - 2x = 3 - 3
0
11. x + 2x + 1 = 3x + 5
3x + 1 = 3x + 5
Cancel 3x means this equation has no solution
12. -3 = -2x + 4/-4
-3 × (-4) = -2x + 4
12 = -2x + 4
12 - 4 = -2x
8 = -2x
8/-2 = x
-4 = x
Simplify the expression
Answer:
[tex]a^6[/tex]
Step-by-step explanation:
a^3 * a^3
= a^3+3
= a^6
Answer:
a⁶ is the simplified expression of a³ • a³
