Trigonometry problem

Answer: (0, -6) and (1, -5)

Step-by-step explanation:

If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,

[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]

If x=0, y=-6.

If x=1, y=-5.

So, the solutions are (0, -6) and (1, -5)

Step-by-step explanation:

if 900 is increased by 20% then

120/100×900=1080

Decreasing it by 20% then

80/100×1080=864

Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

Answer:

11∗2+13∗4+15∗6+⋯+199∗100=?

=(1−12)+(13−14)+(15−16)+⋯+(199−1100)

=(1+13+15+17+⋯+199)−(12+14+16+⋯+1100)

=(1+13+15+17+⋯+199)−12(1+12+13+⋯+150)

=∑k=15012k−1−∑k=15012k

Continue further.

Answer:

9

Step-by-step explanation:

This problem is represented below.

=3(4+2)-9

=3(6)-9

=18-9

=9

Answer:

in exploratory factor analysis all the measures variables are related to every legend variable but in confirmatory factor analyse CFA research 10 specifically the number of factors required in the data in which measures variable is related with talent variable

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3

Answer:

y = x + 3/9

Step-by-step explanation:

Solve for y +3 +3

x+3 = 9y = y=x+3/9

The domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

given function:

f(x) = x² + x -3

g(x) = 1/x+1

Now, solving the equation

gof = g(f(x))

=g( x² + x -3)

=1/(x² + x -3)+1

=1/ x² + x -2

= 1/ x² +2x - x -2

= 1/ x( x+ 2) - (x +2)

=1/ (x+2)(x-1)

Hence, the domain of gof(x) is {x ∈ ℝ| x ≠ −2, 1} .

Learn more about domain here:

https://brainly.com/question/13667891

#SPJ1

The merchant needs to fill 60 litres of all types of oils .

What is HCF ?

HCF is the highest common factor, it is the factor in common in more than two numbers.

It is given in the question that

A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.

He wants to sell the oil by filling the three kinds of equal capacity.

To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

HCF=2×2×3×5=60

The greatest capacity = 60 litres

So the merchant needs to fill 60 litres of all types of oils .

To know more about HCF

https://brainly.com/question/17240111

#SPJ1

Answer:

[tex]P(x) = (x+1)(x-2)(x-3)^2 + 108[/tex]

Step-by-step explanation:

let me know if you want an explanation

Answer:

True, True, False

Step-by-step explanation:

Answer: C

Step-by-step explanation:

just took it

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

Given that, the surface area of a cone is 250 square centimetres. The height of the cone is double the length of its radius.

We need to find what is the height of the cone to the nearest centimetre.

The area occupied by the surface/boundary of a cone is known as the surface area of a cone. It is always measured in square units. Stacking many triangles and rotating them around an axis gives the shape of a cone. As it has a flat base, thus it has a total surface area as well as a curved surface area.

If the radius of the base of the cone is "r" and the slant height of the cone is "l", the surface area of a cone is given as total surface area, T = πr(r + l) square units

Now, let the radius of a cone be x.

Then the height of the cone is 2x.

Slant height=√x²+4x²

=√5x

So, the surface area of cone=πx(x+2.24x)

⇒250=3.14 × 3.24x²

⇒x²=24.57

⇒x=4.95≈5 centimetre

So, height=2x=10 centimetre

The height of the cone to the nearest centimetre is 10 centimetres. Therefore, option A is the correct answer.

To learn more about the surface area of a cone visit:

https://brainly.com/question/23877107.

#SPJ2

Answer:

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.

To determine whether Mr. Tan bases his decision on instinct, mean, median, or mode, we need to consider the given information that Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts.

Instinct refers to a natural or intuitive decision-making process that is not based on specific calculations or statistical measures. While Mr. Tan's decision-making process could involve some level of instinct, it is unlikely to be the primary basis for his decision.

The mean is the average value calculated by summing up all the values and dividing by the total number of values. However, the mean does not provide any information about the distribution of the sizes or the fact that Mr. Tan produces more medium-sized shirts.

The median is the middle value when the data is arranged in ascending or descending order. However, we do not have any information about specific values or the distribution of sizes, so we cannot determine the median.

The mode refers to the value or values that appear most frequently in a set of data. Since Mr. Tan produces more medium-sized shirts than either large-sized or small-sized T-shirts, it implies that medium-sized shirts are the mode in his production. This suggests that Mr. Tan's decision is based on the mode, as he produces more shirts of this size than any other size.

Therefore, based on the given information, it can be inferred that Mr. Tan bases his decision on the mode, which indicates that he produces more medium-sized shirts than either large-sized or small-sized T-shirts. The correct answer is option D: Mode.

for such more question on Mode

https://brainly.com/question/14532771

#SPJ8

Answer:

[tex]\text{B}) \text{ } -3 < x < -1\\\text{D}) \text{ } 2 < x < \infty[/tex]

Step-by-step explanation:

The graph lies below the x-axis.

Answer:

don't know is is mathematics or any other subject

Step-by-step explanation:

[tex]29 {}^{ \frac{x}{2} } [/tex]

[tex]((29) {}^{ \frac{1}{2} } ) {}^{x} [/tex]

The answer is A

[tex]1) \pm 2 \\\\2) \pm 2i\\\\3) \pm i\sqrt{2}\\\\4) \pm \sqrt{2}\\\\5) \pm 3i\sqrt{2}\\\\6) \pm 3\sqrt{2}\\\\7) 2\\\\8) -2[/tex]

Answer: -6

Step-by-step explanation:

[tex]\frac{-10-2}{2}=\boxed{-6}[/tex]

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is  -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

The equation of the line is x = -9 , Option  is the correct answer

The equation of a line is given by y = mx+c

where m is the slope and c is the intercept

It is given that

A line passes through (-9,-6) and has an undefined slope.

undefined slope means it is a vertical line at -9

Therefore the equation of the line is x = -9 , Option  is the correct answer

To know more about Equation of Line

https://brainly.com/question/959487

#SPJ1

The expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 10√5

We can write the above equation:

= √(10×10×5)

Because √(10×10) = 10

= √(100×5)

= √500

Thus, the expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer:

8

Step-by-step explanation:

You should have this in mind , one raise to the power of any number is one and also any number with the power zero is 1.

{(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³

= 1 - 1 + 1 × 8

= 1 - 1 + 8

= 1 +7

= 8

Since we have given that

Measure of revolution = 360°

Now, the measure of [tex]\frac{3}{4}[/tex] of revolution.

So, it becomes,

[tex]\frac{3}{4}[/tex]×360

= 3 × 90

= 270

Hence, the measure of 3/4 of revolution is 270°.

Hope this helped and have a good day

Answer:

She has 20 coins in her bank, where she has 12 nickels and 8 quarters

Step-by-step explanation:

Q = N + 8,   25Q + 5N = 560

25(N + 8) + 5N = 560

25N + 200 + 5N = 560

25N + 200 - 200 + 5N = 560 - 200

30N = 360

30N / 30 = 360 / 30

N = 12 nickels

Finding amount of Quarters:

Q = N + 8 → Q = 12 + 8

Q = 20 quarters

Learn more about System of Linear Equations here: https://brainly.com/question/2226590

Hope this helps

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I did this already

Answer:

It has been a while. I think it is ASA and AAS

The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔLMN

Let the second triangle be represented as ΔOPQ

Now , the measure of ∠MNL = 90°

The measure of ∠PQO = 90°

And , the measure of side MN = measure of side PQ

And , the measure of ∠MLN = measure of ∠POQ

So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Therefore , the triangles are congruent by AAS and ASA theorems

Hence , the ΔLMN and ΔOPQ are congruent triangles

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

Answer:

the first,second,forth and fifth.

Step-by-step explanation:

I got it off of edg.

5%3×4+14-15 answers thes questions

Answer:

cuantos billetes de 100.son en .100000?

Answer:

A and B

Step-by-step explanation:

Vertical angles are angles that are opposite of each other on two crossing lines.

They have equal angle measure.

When we look at the image, we can tell that, from the given options:

A. <LRA and <FRA and

B. <TRF and <NRL are vertical angles.