How does trig on the coordinate plane differ from trig with triangles?

Answer:

The answer is 3

Step-by-step explanation:

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  \(-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}\)

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

true

Step-by-step explanation:

Answer:

(1,15)

(2,20)

(3,25)

(-1,5)

(-2,0)

Step-by-step explanation:

all you hve to do is substitute a value of x into the equation and calculate the value of y

eg : when x = 1

y = 5 ( x+2 )

y = 5 ( 1+2 )

y = 15

thus , x= 1 , y = 15

ordered pair: (1,15)

9482.7 must Joe invest today to receive $22,000 each year for the next 22 years.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Joe Jan wants to receive $22,000 each year for the next 22 years.

6% interest rate compounded annually.

Convert 6% to decimal value

6/100=0.06

A=P(1+rt)

22000=P(1+0.06(22))

22000=P(1+1.32)

22000=P(2.32)

Divide both sides by 2.32

P=9482.7

Hence, 9482.7 must Joe invest today to receive $22,000 each year for the next 22 years.

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Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .

The width of a circle in geometry is the separation between any two or more points on the ring that pass through the centre. It is the longest chord that may divide a circle to two equal half, which are referred to as semicircles. The radius of a circle, which corresponds to the distance between any two points on its circumference, and the diameter, which is sometimes symbolised by the letter "d," are connected by the following formula: d = 2r where r denotes the circle's radius. In many mathematics, such as geometry, trigonometry, and calculus, the diameter is a significant measurement scale.

given

We can first create a diagram of the cylinder portion to help us tackle this issue. We are aware that the cylinder has a 4 inch diameter, which indicates that its radius is 2 inches.

The diagonal "d" in this instance serves as the hypotenuse, while the other two sides are the segment's height (which is equal to the cylinder's radius, or 2 inches), and half of its length (which is 3/2 inches).

Hence, we can construct the equation:

D2 is equal to (2 inches) + (3/2 inches).

If we simplify, we get:

\(d^2 = 4 + 2.25\\d^2 = 6.25\)

When we square the two sides, we obtain:

2.5 inches for d

Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .

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ANSWER

My answer is in the photo above

The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer:

hope it is helpful to you

Answer:

0.22

Step-by-step explanation:

Hope this helps!!!

Answer:

It is .22! :D

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

20 x 2 because you will need 2 bags per kg

The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

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Answer:

20

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

Answer:

80

Step-by-step explanation:

155-75=80

Answer:

1 hour and 15 minutes=75 mins.

Step-by-step explanation:

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

the answer is 3

Step-by-step explanation:

3x4 equals twelve and twelve minus two is ten so the answer is a: 3

also next time be truthful because you said 10 points But this question is only 5.

YOURE VERY LUCKY I DECIDED TO HELP U.

The evaluation of the definite integral, \(\int\limits^0_{-3} {-\frac{4\cdot x}{(x^2+3)^2} } \, dx\) using the u-substitution; u = x² + 3 is; \(\int\limits^0_{-3} {-\frac{4\cdot x}{(x^2+3)^2} } \, dx = \frac{1}{2}\)

The substitution method, also known as u-substitution or the reverse chain rule, is a method to find an integral, but only when it can be set up in a special way. The first and most vital step is to be able to write our integral in this form;

∫f(g(x))g'(x)dx = ∫f(u)du = F(u) + C

Where;

u = g(x)

dx = g'(x)

The specified integral can be presented as follows;

\(\int\limits^0_{-3} {-\frac{4\cdot x}{(x^2+3)^2} } \, dx ; u = x^2+ 3\)

Therefore;

\(-4\cdot \int\limits^0_{-3} {-\frac{ x}{(x^2+3)^2} } dx\)

u = x² + 3, therefore;

du/dx = 2·x

du = 2·x·dx

x·dx = du/2

\(-4\cdot \int\limits^0_{-3} {-\frac{ x}{(x^2+3)^2} } dx = -4\int\limits^3_{12} {\frac{1}{2\cdot u^2} } \, du\)

\(-4\int\limits^{12}_{3}- {\frac{1}{2\cdot u^2} } \, du = -4\cdot (-\frac{1}{2} \cdot \int\limits^{12}_{3} {\frac{1}{u^2} } \, du)\)

\(-4\cdot (-\frac{1}{2} \cdot \int\limits^{12}_{3} {\frac{1}{u^2} } \, du) = -4\cdot (-\frac{1}{2}\cdot [-\frac{1}{u}]^{12}_3 = 2\cdot [-\frac{1}{u}]^{12}_3\)

\(2\cdot [-\frac{1}{u}]^{12}_3 = 2\times [(-\frac{1}{12}-(-\frac{1}{3})) ] = 2 \times \frac{1}{4}\)

\(2 \times \frac{1}{4} = \frac{1}{2}\)

Therefore;

\(\int\limits^0_{-3} {-\frac{4\cdot x}{(x^2+3)^2} } \, dx=\frac{1}{2}\)

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Expand into partial fractions,

\(\dfrac{n+1}{n+2} = \dfrac{(n+2)-1}{n+2} = 1 - \dfrac1{n+2}\)

and rewrite the sum as

\(\displaystyle 2 \left(\sum_{n=0}^\infty \frac1{n!} \left(-\frac12\right)^n - \sum_{n=0}^\infty \frac1{n!(n+2)} \left(-\frac12\right)^n\right)\)

The first sum we recognize as the series expansion of \(e^x\) at \(x=-\frac12\). For the other sum, let

\(\displaystyle f(x) = \sum_{n=0}^\infty \frac1{n!(n+2)} x^n\)

Introduce factors of \(x\) so that differentiating both sides will eliminate the \(n+2\) in the denominator of the summand.

\(\displaystyle x^2 f(x) = \sum_{n=0}^\infty \frac1{n!(n+2)} x^{n+2} \\\\ ~~~~ \implies x^2 f'(x) + 2x f(x) = \sum_{n=0}^\infty \frac1{n!} x^{n+1} = xe^x\)

Solve the differentiating equation for \(f\), using the initial condition \(f(0)=0\).

\(\left(x^2 f(x)\right)' = xe^x \implies x^2 f(x) = (x-1)e^x + C\)

\(f(0) = 0 \implies 0 = -1 + C \implies C = 1\)

\(\implies f(x) = \dfrac{x-1}{x^2} e^x + \dfrac1{x^2}\)

Now let \(x=-\frac12\). We find

\(\displaystyle 2 \left(\sum_{n=0}^\infty \frac1{n!} \left(-\frac12\right)^n - \sum_{n=0}^\infty \frac1{n!(n+2)} \left(-\frac12\right)^n\right) \\\\ ~~~~~~~~ = 2 \left(e^{-1/2} - \left(4-6e^{-1/2}\right)\right) = \boxed{\frac{14}{\sqrt e} - 8}\)

Answer:

The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

E on multiple choice

Step-by-step explanation:

Answer:

about like 4-5

Step-by-step explanation:

its 4 or 5

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = \(\frac{1}{0.5}\)

x = 2

The solution of this linear equation is x = 2

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Step-by-step explanation:

No, the LaTeX that the app uses starts and ends with the [ tex ] and [/ tex ] tags (without the spaces). In (1), simply remove the \latex tag and the integral will appear in embedded form:

\( \int_a^b f(x)\, dx\)

This is meant to maintain the line spacing. If you want show the full size of the integral (or in display mode), add the \displaystyle tag after the [ tex ] like this

[ tex ]\displaystyle \int_a^b f(x)\, dx[/ tex ]

and the integral will look like this

\(\displaystyle \int_a^b f(x)\, dx\)

after removing the spaces in the \( tag. This works also for sums and product of a series and limits.