how do I use a right triangle to write the following expression as an algebraic expression?

Answer:

1st im not sure

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This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

A: Relationship 1:

The relationship between x and y is y = 2x.

When graphed on a coordinate plane, the points (0,0), (1,2), (2,4), (3,6), and (4,8) form a straight line, indicating that the relationship is proportional.

Relationship 2:

The relationship between x and y is y = x2.

When graphed on a coordinate plane, the points (0,0), (1,1), (2,4), (3,9), and (4,16) form a parabolic curve, indicating that the relationship is not proportional.

This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

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We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.

So, we have:

g(x) = f(x) - 3

where f(x) = x².

Substituting f(x) into g(x), we get:

g(x) = (x²) - 3

Therefore, we can write g in terms of f as:

g(x) = f(x) - 3 = x² - 3.

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Answer:

Step-by-step explanation:

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}

Step-by-step explanation:

Services cost : y = 25x , where y is the total fee and x is the number of hours worked.

If customer is looking to choose the less expensive cleaning service ; he / she has following options -

The annual percentage rate for this credit card account is 15.75%.

The annual percentage rate (APR) is the actual annual cost of borrowing money.

Before applying the APR on the account balance, we determine the monthly percentage rate (MPR) by dividing the APR by 12.

Given the interest in dollars and the principal or account balance, the APR can be computed by dividing the interest by the account balance and multiplying it by 12.

Principal        $1,565.89       $1,026.44

Interest                20.55               13.47

Payment           560.00

End of the month balance 1,026.44

Interest rate (MPR) = 1.31235% ($20.55/$1,565.89 x 100)

Annual percentage rate = 15.75% (1.31235% x 12)

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What is the annual percentage rate?

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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The correct answer is A) 3 feet.

A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

15-foot statue = 20-foot shadow

x-foot man's height = 4-foot long shadow

20x = 60

x = 60/20

x = 3 foot.

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Answer:

DO NOT ask questions here its a full scam my guy I for asking a hard question TRY Khan or RBL Groups

Step-by-step explanation:

I GOT 100+ HELP ON RBLX GROUPS IN 24 HOURS

Answer:

7/20

Step-by-step explanation:

Because 35% is 35/100 and then you it and you get 7/20

The trigonometry ratio values are tan(50) = 1.19 and cos(70) = 0.34

This can be calculated using a calculator

So, we have

tan(50) = 1.19 and cos(70) = 0.34

This can be calculated using a calculator

So, we have

sin(84) = 0.9945 and tan(75) = 3.7321

Here, we make use of the laws of cosines and sines

So, we have

cos(X) = 15/17 = 0.8824

sin(C) = 36/45 = 0.8

Here, we make use of the laws of tangents and sines

So, we have

tan(?) = 6/13 = 0.4615

? = 24.77

sin(?) = 41/59 = 0.6949

? = 44.01

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Given the formula for the Amount as;

The value of the ordinary annuity is $24923.08

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

Hola 15 es tu respuesta

Step-by-step explanation:

por 40% puedes convertirlo en 4, multiplicar por 15 y obtendrás 60

espero que esto ayude

The correct statement is that "Line p must be drawn in plane B."

If a new line, p, is drawn parallel to line /, the statement that is true is "Line p must be drawn in plane B."

To understand this, let's analyze the given information:

Planes A and B are shown.

Line m is shown in plane A.

Line n is shown in plane B.

Line / is the line that connects planes A and B.

When a new line, p, is drawn parallel to line /, it means that line p will also connect planes A and B. However, since line / itself is connecting planes A and B, line p must also lie in plane B to maintain its parallel relationship with line /. This is because parallel lines lie in the same plane.

This ensures that line p remains parallel to line / and maintains its connection between planes A and B.

It is important to note that line p being drawn in plane B does not necessarily imply that it intersects with line n. It simply means that line p lies within plane B and remains parallel to line /.

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Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

Answer:

You need common denominators

Step-by-step explanation:

Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.

The length of the shelf is 10 feet while its height is 10 feet.

Equation is an expression used to show the relationship between the sides and angles of a right angled triangle.

Let x represent the shelf length and y represent the shelf height.

The height of the bookcase is 2 feet longer than the length of a shelf. hence:

Also, 22 feet of lumber is available:

From equation 1 and 2:

y = 12, x = 10

The length of the shelf is 10 feet while its height is 10 feet.

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The correct magnitude of the vector times the appropriate unit vector of given vectors are given as follows:

a. <0.708, 0, -0.708> \(*4.66*10^{-3}\)

b. <0, -1, 0>*676

c. \(\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2\)

The general vector can be represented as:

\(\underset{A}{\rightarrow}\) = (a, b, c) ......1

the magnitude \(| \right\underset{A}{\rightarrow} |\) can be obtained as :

\(| \right\underset{A}{\rightarrow} | = \sqrt{a^{2}+ b^{2} +c^{2} }\) .....2

and unit vector would be:

\(\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}\).......3

Solution:

a) ( 0.00330, 0, -0.00330)

here,

\(\underset{A}{\rightarrow} = ( 0.00330, 0, -0.00330)\)

applying this magnitude to equation two:

\(| \right\underset{A}{\rightarrow} | = \sqrt{0.00330^{2}+ 0^{2} +(-0.00330)^{2} }\) = \(4.66*10^{-3}\)

the unit vector would be:

\(\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}\)

\(\hat{u}_A= < \frac{0.00330}{4.66*10^{-3}}, \frac{0}{4.66*10^{-3}}, \frac{-0.00330}{4.66*10^{-3}}>\)

\(\hat{u}_A= <708, 0, -708>\)

Thus, the vector \({\overrightarrow{A}\) would be - <0.708, 0, -0.708> \(*4.66*10^{-3}\)

B) (0, -676, 0)

Solving simailarly like A),

Vector \(| \right\underset{B}{\rightarrow} | = \sqrt{0^{2}+ -676^{2} +0^{2} }\) = 676

the unit vector would be:

\(\hat{u}_B=\dfrac{\overrightarrow{B}}{|\overrightarrow{B}|}\\\hat{u}_B= < \frac{0}{676}, \frac{-676}{676}, \frac{0}{676}>\)

Thus,  the vector \(\overrightarrow{B}\) = <0, -1, 0>*676

C) (0.00316, 0, -0.00316)

Attempting the third vector similarly we will get magnitude:

\(| \right\underset{C}{\rightarrow} | = \sqrt{0.00316^{2}+ 0^{2} +(-0.00316)^{2} }\) = \(*4.47*10^{-3}\)

Then,

\(\hat{u}_C=\dfrac{\overrightarrow{C}}{|\overrightarrow{C}|}\\\hat{u}_C= < \frac{0.00316}{4.47*10^2}, \frac{0}{4.47*10^2}, \frac{0.00316}{4.47*10^2}>\)

The vector \(\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2\)

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Answer: 42€

How do you find this answer?

Look.

(35/100).20 =7€ =VAT

7€ + 35€ =42€

Answer:

6.44 m2                                                                      

Step-by-step explanation:

Answer:

the best value for the percentage of the area under the curve that is shaded is 68%.

Step-by-step explanation:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the mean is 170.8 min and the standard deviation is 19.7 min, we can calculate the values of U, V, and W.

U: U is one standard deviation below the mean.

U = Mean - 1 * Standard Deviation

U = 170.8 - 1 * 19.7

U ≈ 151.1

V: V is the mean.

V = Mean

V = 170.8

W: W is one standard deviation above the mean.

W = Mean + 1 * Standard Deviation

W = 170.8 + 1 * 19.7

W ≈ 190.5

Now, let's determine the best value for the percentage of the area under the curve that is shaded. Based on the empirical rule, the highest percentage that can be shaded is approximately 68% since it represents the data within one standard deviation of the mean.

Therefore, the best value for the percentage of the area under the curve that is shaded is 68%.

All you have to do is see what the answer to 9 x 5= is! It is very simple once you get the hang of it! If you don't know what 9 x 5= is you can count by 5s. If you did the multiplication it is $45!

no solution.

The two lines are parallel

(same slope but different y intercepts)

Step-by-step explanation:

a) 8/7

hope it helps u...

Answer:

A. 2

Step-by-step explanation:

The computation is shown below:

As we know that

The Volume of a right circular cylinder is

\(V = \pi r^h\\\\\)

Here r is the radius

And h is the height

Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q

Now let us assume h be the height of cylinder p

And, H be the  height of cylinder Q

So the equation is

h = 2H ........(1)

Also

The radius of both the cylinders would be the similar length

So

we assume the r be the radius of both cylinders

Now

The Volume of cylinder Q = \(V_Q = \pi r^2H\)

And for P it is \(V_p = \pi r^2 h\)

Now substitute equation 1

\(V_p = \pi r^2(2H)\\\\V_p= 2 \pi r^2hH\\\\V_p = 2(\pi r^2H)\\\\V_p = 2(V_Q)\)

Hence, the correct option is A.