can the tangent constraint be applied between a line and an arc?

The slope of the line passing through the points (2, 8) and (2, -4) is undefined.

The slope of the line passing through the points (-7, 8) and (2, 8) is zero.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-4 - 8)/(2 - 2)

Slope, m = (-12)/0

Slope, m = undefined.

Since the change in the y-axis equals to zero, the slope of this line is equal to zero:

Slope, m = (8 - 8)/(2 - (-7))

Slope, m = 0/9

Slope, m = 0

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Answer:

I think the answer is 256.224

Step-by-step explanation:

Answer:

Finished

Step-by-step explanation:

-Multiple the exponents together

-keep ×10 the same so you can apply the second law of exponents

-Then divide and subtract the exponents of ×10

-Let the 14.44 and 5.9 divide each other

-Leave it like that because it's standard form

The possible value of x are + √15 and - √15

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Then the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

angle EAB  = 2x² + x

angle EDA =  x + 30

Here we can see the angle EAB and angle EDA are equal

So,

2x² + x = x + 30

2x² + x - x = 30

2x² =  30

x² = 15

x =±√15

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Department of Education is usually determined by the sales tax rate and the amount of the purchase.

The main sources of funding for the Department of Education come from income taxes and sales taxes.

The amount of income taxes collected by the Department of Education is usually determined by the tax code and the amount of income earned.

In addition to income taxes and sales taxes, the Department of Education also collects taxes from other sources. These include inheritance taxes, property taxes, and excise taxes. Inheritance taxes are taxes collected on the transfer of property from one person to another upon death.

Property taxes are taxes collected on the value of real estate, such as land and buildings. Excise taxes are taxes collected on the purchase of certain items, such as cigarettes and alcohol.

By understanding how taxes work, you can locate the Department of Education funding in your tax breakdown.

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Answer: the answer is 48

Step-by-step explanation:

Answer: 48

Step-by-step explanation: A triangles formula is base x height divided by 2, therefore we will do first 8 x 12 which equals 96, and divide by 2, giving us 48.

Answer:

210 students

Step-by-step explanation:

We want to find 75% of 280, which means we want to find 75 out of every 100 students who voted. We can do this by multiplying 280 by 75% (or 0.75).

280 x 0.75 = 210

So, 210 students voted for the Chiefs to win the Super Bowl.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Answer:

Step-by-step explanation:

75% = .75

280 x .75 =210

Answer = 210

Answer:

-1/2

Step-by-step explanation:

To find the slope between two points, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates (-6, 5) and (-4, 4), we can plug in the values to get:

slope = (4 - 5) / (-4 - (-6)) = -1 / 2

Therefore, the slope from (-6, 5) to (-4, 4) is -1/2.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Question:

What is the slope from (-6,5) to (-4,4)

Answer:

The slope is -1/2.

Step-by-step explanation:

-Write down the points

-The formula is m= y2-y1/ x2-x1

-6 would be x1, 5 is y1, -4 is x2, 4 is y2

-The equation would then be 4-5/ -4 - (-6)

- 4-5 is -1, -4 - (-6) is 2 a negative and a negative cancel out so it'll be a positive

-The slope would then be -1/2  

I hope it helps you!

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If A sheet of paper is 0.00005 meter thick, the thickness of a sheet of paper in nanometers is 50,000 nanometers. Option A is correct answer.

To convert the thickness of a sheet of paper from meters to nanometers, we need to multiply by the conversion factor of 1 meter / 1 x 10^-9 nanometers.

First, we need to convert the thickness of the paper from meters to nanometers. We can do this by multiplying the thickness in meters by the conversion factor:

0.00005 meter x (1 x 10^-9 nanometers / 1 meter) = 50 nanometers

It's important to understand the concept of scientific notation when dealing with extremely large or small numbers. In this case, we use scientific notation to express the size of a nanometer, which is a billionth of a meter. By expressing the conversion factor in scientific notation, we can easily move the decimal point to convert between units.

Therefore , the correct option is A.

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Complete question is:

A sheet of paper is 0.00005 meter thick. One nanometer is 1 x 10-meter. How thick is a sheet of paper in nanometers?

A. 50,000

B. 500,000

C. 50,000,000,000,000

D. 500,000,000,000,000

The value of the expression -13x-7y is -8.

What is the system of equations?

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Given system of equations are

-9x + y = 2   .....(i)

-4x - 8y = -10 ....(ii)

Solve the equation by using system of equations.

Multiply equation (i) by 8 and add with equation (ii)

-72x + 8y = 16

-4x - 8y = -10

___________

-76x = 6

x = 6/-76

x = - (3/38)

Putting x = - (3/38) in equation (i):

-9[- (3/38)] + y = 2

27/38 + y = 2

y = 2 - 27/38

y = 49/38

Putting x = - (3/38) and y = 49/38 in -13x-7y:

-13(-3/38)-7(49/38)

= 39/38 - 343/38

= -304/38

= -8

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Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

The value of c that makes the function, f(x) = x² , x ≠0 and c , x = 0, continuous at x=0 is equals to 3.

The condition for continuity of a function f(x) at x=a : limf(x) = f(a)

x→a

Before convincing the above condition, we have to examine that the limit is exit or not at x=a. To test the condition for existancy of a limit at x=a of a function

f(x), we have to fulfill the following condition: lim f(x) = lim f(x)

x→a⁻ x→a⁺

Sometimes to evaluate a limit, we get indeterminate forms such as 0/0 or ∞/∞. In those cases, we use L'Hospital's Rule.

Now, we have f(x) = x² , x ≠0 and c , x = 0.

limf(x) = lim x² + 3 = (0)² + 3 = 3

x→0 x→0

So, lim f(x) = 3. For f(x) to be continuous

x→0

lim f(x) = f(0) => c = 3. Thus, c will work as

x→0

we have provide function is continuous.

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Complete question:

Find a value of c that makes the following function continuous at x = 0, explain why the value of c works. f(x) = x² , x ≠0 and c , x = 0

Answer:

[tex]\huge\boxed{\sf 9x}[/tex]

Step-by-step explanation:

= 3x + 3x + 3x

Take x as common factor

= x(3 + 3 + 3)

= x (9)

[tex]\rule[225]{225}{2}[/tex]

A) note that the above graph is attached accordingly including at least 5 points and the vertex.

(-4, -3)

(-3, 0)

(-2, 1)

(-1, 2)

(0, 1)

(1, 0)

B) The function f(x) is a reflection of the parent function y=|x| over the vertical axis, shifted one unit to the left and two units up.

C) The domain of f(x) is all real numbers since the absolute value of any real number is always non-negative.

The range of f(x) is from negative infinity up to (but not including) 2, since the highest value f(x) can attain is 2 due to the vertical shift of the function, and it can take on any value less than 2 (down to negative infinity) due to the reflection and vertical stretching of the absolute value function. In interval notation, the range can be expressed as (-∞, 2).

D) The vertex of the function f(x)=-|x+1|+2 is (-1, 2)

A domain is the set of all possible input values for a function. It specifies the range of values over which the function is defined.

Vertex is the point on the graph of a parabolic function that represents either the maximum or minimum value of the function. It is also known as the "turning point" of the function.

A Parent function is basic or "template" function that represents a particular type or family of functions. It can be transformed to create various related functions.

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500 grams is equivalent to approximately 17.637 ounces.

Gram is a metric unit of weight equal to one thousandth of a kilogram.

Ounce is a unit of weight equal to one sixteenth of a pound or 16 drams or 28.349 grams.

Ounce is defined as exactly 28.349523125 grams and is equivalent to one sixteenth of an avoirdupois pound.

To convert 500 grams to ounces,

We can use the conversion factor that 1 ounce is equal to 28.3495 grams.

So, we can write:

500 grams = (500 ÷ 28.3495) ounces

500 grams = 17.637 ounces (rounded to three decimal places)

Therefore, 500 grams is equivalent to approximately 17.637 ounces.

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We can convert fps to mph by using the relation, one mph = 1.18 fps.

One fps means one foot per second and one mph means one mile per hour. Foot and mile are the units of distance and second and hour are the units or time.

We have to convert fps to mph.

As per the standard unit conversion rates, we know,

One mile = 5280 foot.

Also, one hour = 3600 seconds.

So, if we want to convert, we should write,

= mph

= 4280/3600

= 1.18 fps.

So, now we have a standard relation that says, one mph is equal to 1.18 fps.

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To find the minimum score you would need to be in the top 4%, we need to use the standard normal distribution and the given z-score.

First, we find the z-score corresponding to the top 4% using a standard normal distribution table or a calculator:

z = invNorm(1 - 0.04) = invNorm(0.96) = 1.7507 (rounded to four decimal places)

The minimum score needed to be in the top 4% is the score that corresponds to this z-score in the distribution of exam scores. We can use the formula for standardizing a normal random variable to find this score:

z = (X - μ) / σ

where X is the exam score, μ is the mean of the exam scores, and σ is the standard deviation of the exam scores.

Solving for X, we get:

X = zσ + μ = 1.75076.1 + 76.4 = 87.46

Therefore, the minimum score you would need to be in the top 4% is approximately 87.46 points.

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Answer: The new perimeter is 2334 inches.

Step-by-step explanation:

The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.

As required to be determined in the task content, the number 2 in this scenario equal; 275.5.

It follows from the task content that the equivalent of the number 2 according to the described context is to be determined.

Since 5 equals 649 and 1 equals 151, let 2 be equal to x;

Therefore, by interpolation;

(x - 151) / (649 - 151) = (2 - 1) / (5 - 1)

4x - 604 = 498

4x = 604 + 498

4x = 1102

x = 275.5

On this note, it follows that the number 2 equals; 275.5.

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We can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the exponential function as -

f(x) = 8(1/4)ˣ

If the function f(x) is reflected across the {y} - axis, then the new function g(x) will be -

g(x) = f(-x)

So, we can write -

g(x) = 8(1/4)⁻ ˣ

Now, we can write -

g(- 2) = f(2) = 1/2

g(2) = f(-2) = 128

Therefore, we can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

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205 lbs is approximately equal to 92.9864 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

205 lbs =  0.453592 × 205

Multiply the numbers

= 92.9864 kg  ( rounded to four decimal places )

Therefore, 205 lbs is 92.9864 kg

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P(A and B) = P(A) × P(B) is the formula used to assess if two events are independent (B).

P(A) is the chance that event A will occur.

The chance that event B will occur is marked as P(B).

If the chance of both occurrences happening at the same time, P (A and B), equals the product of the individual probabilities of each event, P(A) x P(B), the events are called independent.

If, on the other hand, the chance of both occurrences occurring simultaneously is less than the product of the individual probabilities of each event, the events are deemed dependent.

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The zeros at the end of a number can be significant if it contains decimal point only if the digit next to or at the end of the number (of decimal point) is a significant number.

Significant numbers of a given number are those digits that can convey the meaning of the number or what it stands for (measures as) according to its accuracy.

All non-zero numbers are significant numbers irrespective of the fact where they are positioned, that is they can be positioned before or after a decimal (also before or after a zero).

All zeros are not significant numbers and whetehr they are to be called significant numbers or depend on the fact where they are positioned and whether they convey any meaning (or value ) of the number. If the zeros are between two non zero significant digits then zero is also considered as a significant number.

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Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.

Time spent traveling at 60mph = 1.5 hours

Time spent traveling at 80mph = 3 hours

To calculate the distance between two locations, use the distance formula, a Pythagorean theorem application. The Pythagorean Theorem can be rewritten as d=((x 2-x 1)2+(y 2-y 1)2) to get the distance between any two points.

Let's denote the time spent traveling at 60mph as "t", then the time spent traveling at 80mph is "2t" because the second part of the trip is twice as long as the first part.

We can use the formula:

distance = speed x time

To calculate the distance traveled in each part of the trip, then we can set up the following equations:

distance traveled at 60mph = 60t

distance traveled at 80mph = 80(2t) = 160t

The total distance traveled is given as 330 miles, so we can set up the equation:

60t + 160t = 330

220t = 330

t = 1.5 hours

Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.

Time spent traveling at 60mph = 1.5 hours

Time spent traveling at 80mph = 3 hours

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Answer:

The similar figures have dimensions equal in proportion. But in the case of congruent, the transformation of objects is done by using rotation, reflection or translation. The shape is turned or flipped to transform into another shape.

Step-by-step explanation:

Answer:

[tex]15.6 \div 100 = .156[/tex]

Step-by-step explanation:

100 is 10 to the second power. Since you are dividing, move the decimal point in 15.6 two places to the left. So .156 is your answer.

Answer:0.156

Step-by-step explanation:

Right triangle side lengths can be achieved in a few different ways. You can utilise various relationships or laws to discover the remaining side depending on what is offered.

Presented with two sides

The simplest way is to use the Trigonometry if you are aware of two additional right triangle sides:

a² + b² = c²

If leg an is the omitted side, change the equation such that an is still on one corner and compute the scale factor of that number:

a = √(c² - b²)

Leg b is equal to (c2 - a2) if foot b is unknown.

The formula for a deficient hypotenuse is c = (a2 + b2).

A right triangle has one symmetry boundary line if it is isosceles, meaning that its two different sides have an identical length. Otherwise, the triangle won't have any symmetries lines.

However, not all right-angled triangles are identical. If all of their angles have the same length as well as the relation of two among their angles is the same, then they are similar.

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Answer: 3:20

Step-by-step explanation:

Answer:  She will be finished by 3:20.

Step-by-step explanation: The time at which she started = 1:40

Adding 1 hour 40 minutes to the given time = 1:40 + 1:00 = 2:40

Adding 20 minutes to it, time becomes = 3:00

Adding 20 more minutes (20+20 =40), final time = 3:20.

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The missing measures in △STU could be 28 degree.

WE have been Given △PQR ~ △STU,

WE need to find the missing measures in △STU.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

[tex]\dfrac{sin\angle Q}{21} = \dfrac{sin\angle T}{6}[/tex]

[tex]\dfrac{sin\angle 64}{21} = \dfrac{sin\angle T}{6} \\\\\dfrac{0.920}{21} = \dfrac{sin\angle T}{6} \\\\{sin\angle T} = \dfrac{0.920 \times 6}{21}[/tex]

Sin angle T = 0.2628

△STU = 28 degree.

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Answer:

3

Step-by-step explanation:

Set the equations. Let the variable x denote the amount of months that are needed.

Silver Gym:

In Silver Gym, the membership is a flat fee (constant) of $45, and training sessions are $25 for each session (25x, x denoting the amount of sessions).

Therefore, total cost is:

Total Cost (c) = Training session x Training cost per session + Flat Fee

or

c = 25x + 45

Fit Factor:

In Fit Factor, the membership is a flat fee (constant) of $75, and training sessions are $15 for each session (15x, x denoting the amount of sessions).

Therefore, the total cost is:

Total Cost (c) = Training session x Training cost per session + Flat Fee

or

c = 15x + 75

~

You are trying to solve for the amount of training sessions that have to be bought in which both prices will be the same. Note that both equations are equal to c. Based on the transitive property of equality, if a = b and b = c, then a = c. Therefore:

c = 25x + 45

c = 15x + 75

15x + 75 = c = 25x + 45

15x + 75 = 25x + 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 25x and 75 from both sides of the equation:

15x (-25x) + 75 (-75) = 25x (-25x) + 45 (-75)

15x - 25x = 45 - 75

-10x = -30

Next, divide -10 from both sides of the equation:

(-10x)/-10 = (-30)/-10

x = -30/-10 = 3

3 personal training sessions is your answer.

~

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