If Point (x, Y) Is Rotated 90 Degrees About The Origin, The Resulting Point Is (-y, -x). (2024)

Steps:

-x-2(-8x)=0

X=0

Y=-8(0)

Y=0

Solution

(X,Y) =(0,0)

Answer:

Your answer would be (x, y) = (0, 0)

Step-by-step explanation:

Please refer to the screenshot underneath.

Answer:

No

Step-by-step explanation:

is it always true (Dm x Dn)(X) = Dmn(X)?

NO

(Dm x Dn)(x) = D²xmn

Parabola A and parabola B are similar in that they are both vertically oriented parabolas with the x-axis as their axis of symmetry. However, they differ in their vertex, focus, and directrix, which means they have different equations and open in different directions.

What are the similarity and difference of both parabola

Both parabola A and parabola B are examples of vertically oriented parabolas that have the x-axis as their axis of symmetry. However, they differ in their vertex, focus, and directrix.

Parabola A has its vertex at (0, 0) and its focus at (0, 4). The directrix is the line y = -4, which is a horizontal line 4 units below the vertex. This means that any point on parabola A is equidistant to the vertex and the focus, and the distance between any point on the parabola and the directrix is equal to the distance between the point and the focus.

Parabola B has its vertex at (0, 0) and its focus at (0, -6). The directrix is the line y = 6, which is a horizontal line 6 units above the vertex. This means that any point on parabola B is equidistant to the vertex and the focus, and the distance between any point on the parabola and the directrix is equal to the distance between the point and the focus.

In terms of their equations, the equation of parabola A is y^2 = 16x, while the equation of parabola B is y^2 = -24x. Notice that parabola B has a negative coefficient of x, which means it opens to the left instead of the right like parabola A.

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The actual train is 957 inches long.

What is a Ratio?

A ratio indicates the number of times one number contains another. The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the model train to the actual train is 1 : 87.

The model train is 11 inches long, therefore,

1=11

Then, the value of 87 is:

87 = 87×11

= 957

Hence, the actual train is 957 inches long.

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It’s D

Average (mean): μ=8.3333333333333
Absolute deviation: 19.333333333333
Mean deviation: 6.4444444444444
Minimum: 3
Maximum: 18
Variance: 46.888888888889
Standard deviation σ=6.8475461947247
Corrected sample standard deviation s=8.3864970836061
Coefficient of variation cV=1.0063796500327
Signal-to-noise ratio SNR=0.99366079189646
Median: 4
Quartile Q1: 3
Quartile Q2: 4
Quartile Q3: 18

There are 1000 cubic centimetres in a litre (cm3). This is so because one cubic centimetre (cc) equals one millilitre (ml), and one litre (l) equals 1000 ml.

1000 ml make up 1 litre (L).

ml (millilitres) = cm3

1000 ml = 1000 cm3

1 L = 1000 cm3

One litre is equal to one thousand cubic centimetres (cm3). This is because one cubic centimetre is equivalent to one millilitre (ml), and one litre is equal to 1000 millilitres (ml). The subsequent actions can be conducted in order to calculate this. Initially, one litre (L) equals one thousand millilitres (ml). Second, one cubic centimetre is equivalent to one millilitre (cm3). Thus, one millilitre is equivalent to one hundred cubic centimetres. Last but not least, one litre equals one thousand cubic centimetres, or 1 L = 1000 cm3. Anybody wishing to translate between the two different volume measures will find this information valuable. For instance, if a recipe calls for a certain amount of an ingredient in litres, it is simple to convert that amount to cubic centimetres if necessary.

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15x = 180

divide both by 15, and you get

x = 12

I'm unsure if this is correct

Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees

The value of the variable r when t = 5h and d = 240m is 48m/h

What are algebraic expressions?

Algebraic expressions are described as expressions that are composed of terms, variables, factors, coefficients and constants.

They are also made up of mathematical operations like subtraction. division, addition, multiplication, floor division, etc

From the information given, we have the equation;

d = rt

Make 'r' the subject of formula

r = d/t

Now, substitute the values into the equation, we get

r = 240/5

Divide the values

r = 48m/h

Hence, the value is 48m/h

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The graph of the system is added as an attachment

How to determine the solution to the inequality

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

f(x) = 2x + 8 for x < -1

-2x + 7 for x > 3

The above system is a piece wise fucntion that include

Two linear equations

Next, we plot the graph

See attachment for the graph of the equation

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The amount of fuel used per mile (m) = unit rate = 5.2 gallons per mile.

Initial amount (b) = 0 gallon.

How to Find the Unit Rate and Initial Amount of a Proportional Relationship?

A proportional relationship can be represented as an equation of the form y = mx, where x and y are variables and m is the constant of proportionality, also known as the unit rate

Unit rate (m) = amount of fuel used per mile = 156/30 or 312/60 = 5.2 gallons per mile.

Initial amount (b) = starting value or y-intercept = 0 gallon.

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The required matches are E1, B2, D3, A4,C5.

What is ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).

According to question:

Correct matches for the given matching are

Ratio - A comparison of two or more items

So, E1

Rate - A comparison of two DIFFERENT units

So, B2

Unit Rate - A rate where the second number, item, or quantity equals one

So, D3

Ratio Table - A tool we use to find equivalent ratios

So, A4

Equivalent Ratio - Two or more ratios that have the same value

So, C5

Thus, required matches are E1, B2, D3, A4,C5.

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Yes You can buy 24 apples for $0.125 per pound. This price will not available except in festival or discounts sale.

what are ounces ?

An ounce is a unit of weight or mass commonly used in the United States and other countries. It is usually abbreviated as oz. One ounce is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are often used to measure small quantities of food or ingredients in recipes, as well as for measuring the weight of small objects.

According to the question:

To determine whether you can buy 24 apples for $9, we need to find the cost per apple.

If 24 apples cost $9, then the cost per apple is:

$9 / 24 apples = $0.375 per apple

Since each apple weighs about 5 ounces, there are about 3 apples per pound:

16 ounces / 5 ounces per apple ≈ 3.2 apples per pound

Therefore, the cost per pound of apples is:

$0.375 per apple / 3 apples per pound = $0.125 per pound

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The equation of the ellipsoid is[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]

The equation of an ellipsoid is represented as:

[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]

Given that the ellipsoid passes through the points (±6,0,0),(0,±7,0) and (0,0,±5)

It means that:

(±a,0,0) = (±6,0,0)

(0,±b,0) = (0,±7,0)

(0,0,±c) = (0,0,±5)

By comparison, we have:

±a=±5

±b=±6

±c=±7

So, the equation of the ellipsoid becomes:

[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]

By substituting the values, the equation of the ellipsoid becomes is

[tex]\frac{x^{2} }{36}+\frac{y^{2} }{49} +\frac{z^{2} }{25} =1[/tex]

.An ellipse is the set of all points on a plane whose distance from two fixed points F and G add up to a constant. In an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis.For a circle both these have the same value.

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Answer:

A

I believe because p→q

q→p

The Marginal product is equal to the difference between the output and the input.

The term "marginal product" refers to the extra output that is created when one more unit of a specific input (such as labour or capital) is added to the manufacturing process while keeping other inputs constant.

The marginal product equation is:

Marginal Product is equal to the difference between the output and the input.

Where:

Change in Total Product (CTP) is the term used to describe how the firm's overall output changes when an additional unit of input is added during the manufacturing process.

The term "change in input" describes how much of an input is changed during the manufacturing process.

To put it another way, the marginal product method calculates the extra output brought on by a unit increase in input.

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Answer:

here u go

Step-by-step explanation:

Sounds like you're very young but here I go!

since 1 inch = 2.5 cm

and 24 inches = 2 feet

multiply inches and cm by 24

answer is 60 cm

i hope it helped it may be wrong tho :(

Answer: To find the solution to the equation 21/2 + x = 31/2, we need to isolate x on one side of the equation. Subtracting 21/2 from both sides gives us:

x = 31/2 - 21/2

Combining the fractions on the right side gives us:

x = 10/2

Dividing the numerator by the denominator gives us:

x = 5

So the solution to the equation 21/2 + x = 31/2 is x = 5. To fill in the bubbles on the grid, you would need to write the number 5 in the appropriate row and fill in the corresponding bubbles to indicate the digits of the number.

Step-by-step explanation:

the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0.

a. P(X<1.8) = .25(1.8) + .5 = .95

b. P(X>-1.5) = .25(-1.5) + .5 = .375

c. P(X<-2) = 0

d. P(-1.5<X<2) = .25(2) + .5 - (.25(-1.5) + .5) = .875

a. For the probability P(X<1.8), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in 1.8 for x in the function to get F(1.8) = 0.25(1.8) + 0.5 = 0.95. Therefore, P(X<1.8) = 0.95.

b. For the probability P(X>-1.5), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375. Therefore, P(X>-1.5) = 0.375.

c. For the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0. Therefore, P(X<-2) = 0.

d. For the probability P(-1.5<X<2), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 and 2 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375 and F(2) = 0.25(2) + 0.5 = 0.95. Therefore, P(-1.5<X<2) = 0.95 - 0.375 = 0.875.

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Answer:

$1.80 per 4 mini muffins

Step-by-step explanation:

12 mini muffins = 5.40

divide by 3

4 mini muffins = 1.80

:]

Answer:

Step-by-step explanation:

1. Imagine a triangle with base side 36 feet and Kate at the right with the angle of elevation, 24 degrees. We can use tangent:

tan 24 = o/a ; tan(24) = o/36 ; 36(tan(24)) = o ; o = 16 feet

This is how tall the screen is.

2. We do a similar operation:

tan(74) = o/a ; tan(74) = 555/a ; a = 555/tan(74) ; a = 159.1 feet

Hope this helps!

Answer:

[tex]\huge\boxed{\sf c = 3.1\ yards}[/tex]

Step-by-step explanation:

Given that,

a = 2.7 yards

b = 1.6 yards

c = hypotenuse

Using Pythagoran Theorem:

[tex]c^2=a^2+b^2[/tex]

Put the given data.

c² = (2.7)² + (1.6)²

c² = 7.29 + 2.56

c² = 9.85

Take square root on both sides

c = √9.85

c = 3.1 yards

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

As a result of answering the question, we may state that triangle Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

What precisely is a triangle?

Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.

A+B plus D > A (1)

Applying this to triangle ADC, we get the following:

A + C > A (2)

AC equals 27, CD equals 9, and BD equals 3. Equation (2) may be used to determine AD:

[tex]A + C > A\\27 + 9 > AD\\36 > AD[/tex]

So, we are aware that AD is lower than 36. We may now find AB using equation (1):

[tex]A+B plus D > A\\AB + 3 > AD\\AB + 3 > 36\\AB > 33[/tex]

Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

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Answer:

scalene, right triangle

Step-by-step explanation:

Determine whether it is a triangle and the triangle's type:

Answer: scalene, right triangle

Answer: look at the images for the answers and solutions

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Create a chart 18 over 72 and x over 100

Now we multiply 18 by 100 to get 1800

We take that 1800 and divide it by 72 to get 25/100

We can simplify this to 1/4

answer :

a. Multiply each side of the equation by x(x+5)

(so you can have 1 denominator)

b. square each side (to get rid of the square root sign on the left side

c. Raise each side of the equation to the power 2/5

(its helps get rid of ^5/2 in (x+5)^5/2 & on the right side of the equal sign 2 is 5th root of 32)

d. Let u=(x+5)^1/3 and u² = (x+5)^2/3

(u is usually used when x has big exponent &

needs to be factored so it looks like

u^2 - u - 2 = 0 which is easier to factor.

after factoring you can bring back the original

(x+5)^2/3 & (x+5)^1/3 )

e. Cube each side of the equation

(cube root is the same on the left & right side of the equal sign so you can take it out)

Answer: You can make 5/3 * (1/1) = 5 servings with a cup of macaroni.

And, with 5 servings, you can make 5 * (3/1) = 15 1/3 servings of pasta salad.

Step-by-step explanation:

The acceleration of the car is not constant but is increasing steadily, starting at 10 km/h, decreasing to 5 km/h, and then remaining constant at 5 km/h.

To find the acceleration of the car, we need to use the formula:

acceleration = (final velocity - initial velocity) / time

Let's calculate the acceleration for each interval of time:

For the first interval, the initial velocity is 35 km/h and the final velocity is 45 km/h. The question says the speed increases each second.

Therefore, the acceleration is:

acceleration = (45 - 35) / 1 = 10 km/h

For the second interval, the initial velocity is 40 km/h and the final velocity is 45 km/h. Again, the acceleration is:

acceleration = (45 - 40) / 1 = 5 km/h

For the third interval, the initial velocity is 45 km/h and the final velocity is 50 km/h. The acceleration is:

acceleration = (50 - 45) / 1 = 5 km/h

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