What will be the new position of the given point (-6,8) after rotating 90° clockwise about the origin

Answers

Answer 1

Answer:( 8, 6)

Step-by-step explanation:

Answer 2
Final answer:

After rotating the point (-6,8) 90° clockwise about the origin, the new position of the point will be (8,6).

Explanation:

When a point is rotated 90° clockwise about the origin in a two-dimensional Cartesian coordinate system, the new position of the point can be calculated by changing the sign on the y-coordinate and swapping the order of the x and y-coordinates. For your specific question, we are given the point (-6,8). So, the new position of the point after the rotation would be (8,6). This is because rotations in a clockwise direction can be considered as negative in mathematics, and portions rotate around the origin following the right-hand rule.

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Related Questions

| What is the square root of -16?

Answers

Answer:

[tex]4i[/tex]

Step-by-step explanation:

Step 1:  Find the answer

[tex]\sqrt{-16}[/tex]

[tex]\sqrt{4^2 * i^2}[/tex]

[tex]4i[/tex]

Answer:  [tex]4i[/tex]

Order the numbers from least to greatest 10.5, 10.06, 10.64, 10.46

Answers

10.5 10.6 10.46 10.64

Answer:

10.06, 10.46, 10.5, 10.64

Step-by-step explanation

If JK = 7 and JL = 12, what is JM?

Answers

Final answer:

Without additional context or details about how JK, JL, and JM are related, it's impossible to accurately calculate or deduce the value of JM. Further clarification or more information about the scenario or the mathematical or geometric principles involved is needed for a precise answer.

Explanation:

The question provided does not seem to present enough context or connection to standard mathematical operations or geometric principles that would enable a straightforward calculation or deduction of the value of JM. Without additional information about the relationship between JK, JL, and JM (such as whether they are sides of a triangle, or represent values in a given mathematical formula), or without a clear mathematical or geometric context, it's impossible to accurately determine the value of JM.

Generally, in mathematics, when calculating distances or values based on given lengths, one needs to apply specific formulas or theorems (such as the Pythagorean theorem in the context of right-angled triangles, or vector addition in the context of physics problems). Unfortunately, the given data lacks the necessary context to apply such principles.

For a precise and accurate answer, I recommend clarifying the problem's context or providing more details about the scenario in which JK, JL, and JM are related.

-Final answer:

To find JM in a triangle with known side lengths JK = 7 and JL = 12, we use the Triangle Inequality Theorem to determine that JM must be less than 19.

Explanation:

To find JM, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

JK + JL > JM

7 + 12 > JM

19 > JM

Therefore, JM must be less than 19 but more than the absolute difference of JK and JL, so JM < 19.

Kala has a rope that is 17 meters long. She cuts away a piece that is 8.83 meters long. How long is the remaining piece of rope?


Answers

The answer is 8.17 if you subtract 17-8.83, it comes down to a total of 8.17

Help..
Anyone...
Help...

Answers

An ant can carry 0.044 pounds of weight. Important information: Weight of an ant is 8.8x10⁻⁶ pound. They can carry objects up to 5,000 times greater than their own body weight.

What is the vertex of y=−2x2−4x−5?

Answers

Answer:

(-1,-5)

Step-by-step explanation:

What is the probability of drawing a black 5 from a standard deck of playing cards?

Answers

Answer:  1/26 chance

Step-by-step explanation:

there are two black fives in a deck so you get the fraction, 2/52.

simply it and you get 1/26.

the quotient and the divisor are the same number. the sum is 8. write the related facts

Answers

Answer:

Starting from the definitions of each concept, we have to:

Divider = number you are dividing

Quotient = result of division

Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16

The division would be:

16/4 = 4

Thus fulfilling the premise of the problem.

What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths place

Answers

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find  the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v =  πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

Write the coordinate of the point in the diagram.

Answers

Answer:

(2, 2, 1)

Step-by-step explanation:

You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)

What does x equal in 3(x-2)=-3

Answers

Answer:

Step-by-step explanation:

3(x-2)= -3

Divide both sides by 3

x-2 = -1

add 2 to both sides

x - 2 +2 = -1 + 2

x = 1

Answer: x = 1

Step-by-step explanation:

3(x-2) = -3

3x -6 = -3

    +6   +6

3x = 3

----------

3      3

x = 1

A = 3 b = 4 c=4

1) 3a + 5=
2)4b - 7=
3)6a - 1 =
4) bc -a=

Answers

Answer:

1.)  3(3) + 5 = 9 + 5 = 14

2.)  4(4) - 7 = 16 - 7 = 9

3.)  6(3) - 1 = 18 - 1 = 17

4.)  (4)(4) - (3) = 16 - 3 = 13

1) 3•3= 9 + 5 = 14
2) 4•4 - 7 = 9
3) 6•3 - 1 = 17
4) 4•4 - 3 = 13

A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=

Answers

Answer:

g = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)

m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )

4 - g = - 2 ( subtract 4 from both sides )

- g = - 6 ( multiply both sides by - 1 )

g = 6

QUICKLY!! Jonahs grandmother gave him 125 for his birthday. He used 14% of the money to buy music on iTunes and 65% to purchase a new hockey stick. How much more did he spend on the jock stick than on music?

Answers

Answer:

It's 63.75 since I looked it up.

WILL GIVE BRAINLIEST When the frequency of an electromagnetic wave is 400,000,000,000,000 Hz, red light results. Which of these is the frequency of red light?

10×4^14
10×4^15
4×10^15
4×10^14

Answers

The answer is 4x10^14 because there are 14 zeros in front of the four thus you do 4x10^(number of zeros) and thus you get 4x10^14

The frequency of red light is 4 x 10¹⁴ Hz. The correct answer is option D.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The given that when the frequency of an electromagnetic wave is 400,000,000,000,000 Hz, it results in red light.

The choices given are in scientific notation form, where the coefficient is multiplied by 10 raised to a certain power of 10.

To convert 400,000,000,000,000 Hz into scientific notation, we need to move the decimal point 14 places to the left to obtain a coefficient between 1 and 10.

This gives us 4.0 as the coefficient, and since we moved the decimal point 14 places to the left, the power of 10 is -14.

Therefore, the frequency of red light is 4 x 10¹⁴ Hz.

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Determine the solution for x^2+36>12x

Answers

Answer:

x^2+36 or x2 + 36 = 0

Step-by-step explanation:

Answer:

x> 6 twice

Step-by-step explanation:

x^2+36>12x

x² + 36 > 12x

Collect like terms

x² - 12x + 36 > 0

Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.

Factors = -6 and -6 which both add up to -12

Rewrite equation

x² - 6x - 6x +36> 0

Factorise by taking out the common factor

x ( x - 6) -6( x - 6) > 0

(x -6)(x - 6) > 0

x - 6 > 0 or x -6 > 0

Add 6 to both sides

x -6+6> 0+6 or x-6+6>0+6

x > 6  or x> 6

x> 6 twice

I hope this was helpful, please rate as brainliest

State the slope and the y-intercept of this equation: y = -4x - 9

Answers

Answer:

slope = - 4, y- intercept = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 9 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 9

how many 9s are in 54??​

Answers

Answer:

Whats 's' mean?

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

9s=54

divdie 9 by 54 to get the s alone. 54/9 is 6. t

А
What is 35% of 50?

Answers

Answer:

17.5

Step-by-step explanation:

35% = 0.35 in decimal form.

(Think about: 1 = 100%)

To find 35% of 50, we simply multiply.

0.35 × 50 = 17.5

35% of 50 is 17.5

Find the area of the ring-the shaded region

Answers

The area of the (ring) - the shaded region is 75.36 in²

Solution:

The value of π = 3.14

Radius of the inner circle = 5 in

Area of the inner circle = πr²

                                       = π × 5²

Area of the inner circle = 25π

Radius of the outer circle = (5 + 2) = 7 in

Area of the outer circle = πr²

                                       = π × 7²

Area of the outer circle = 49π

Area of the shaded ring = Area of the outer circle – Area of the inner circle

                                        = 49π – 25π

                                        = 24π

                                        = 24 × 3.14

                                        = 75.36 in²

The area of the (ring) - the shaded region is 75.36 in².                                

What is the equation of a line that passes through the points (-3, 4) and (2, 8)?

Answers

Answer:

y= 4/5x +2/5

Step-by-step explanation:

When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!

pens cost x pence and pencils cost y pence. Write a formula for the total cost (T) of 7 pens and 11 pencils

Answers

Answer:

erhaerah

Step-by-step explanation:

hearherharehr

g + 3f+ f +g +g Write an equivalent expression that uses each variable only once.

Answers

Answer:

The answer would be 4f + 3g. I hope this helps!!!

Answer:

3G+4F

Step-by-step explanation:

just add the number of variables only with themself, so for example there are 3 G's, you would add them together and put 3G

the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2 inches in legnth and 1 inch in width. what is the actual width of the platform? write a proportion to justify your answer.

Answers

Answer:

Actual width = 5 feet.

Step-by-step explanation:

The ratio of 1.2 to 1  equals the ratio of length to width.

1.2 / 1  = 6 / w  where w is the actual width.

1.2w = 6

w = 6/1.2

w = 5.

Plz help in ASAP I need it I will give you BRAINLEIST whatevrr it is called

Answers

Answer:

1.)x≤9

2.)x≥0.5

Step-by-step explanation:

1.)x+6≤15

x+6-6≤15-6

x≤9

2.)x+1.5≥2

x+1.5-1.5≥2-1.5

x≥0.5

h(x)=square root of x-10
what is the domain of h?

Answers

h(x)= square root of x-10
Domain: x >= 10
Final answer:

The domain of the function h(x) = √(x-10) is all real numbers x that are greater than or equal to 10, because we cannot take the square root of a negative number under the real number system.

Explanation:

In mathematics, the domain of a function is the set of all the possible input values (usually denoted as x) that would lead to a real and defined output. As for the function h(x)=√(x-10), we have a square root operation involved. We know that under the real number system, we cannot take the square root of a negative number.

Hence, for the function h(x)=√(x-10) to be real and defined, (x-10) must be greater than or equal to 0. That is, x-10 ≥ 0. Solving for x, we get x ≥ 10.

Therefore, the domain of the function h(x) = √(x-10) is x≥10. That is, h(x) is defined for all real numbers x that are greater than or equal to 10.

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-3(n-6)-9 i need to simplify the expression.

Answers

-3(n-3)
Check out the work in the picture.

In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

Answers

Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl

Step-by-step explanation:

ez ezz

The value of x in the right-angle triangle is 2√3.

What is a right-angle triangle?

A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.

In the given figure,

BC = 6cm

DC = 6/2 = 3cm

By formula of angle on a straight line,

∠EDB = 180° - (90°+60°)

= 180° - 150°

= 30°.

From right-angled triangle ADC,

AD² = 5² -3² (As per Pythagoras theorem)

= 25 - 9

= 16.

So, AD = √16

= 4cm.

From ∠AEC. let AS = x.

w/Sin60° = 4/Sin90°

We know,

Sin90° = 1

Sin60° = √3/2

⇒ x = (4 × Sin60°)/Sin90°

⇒ x = 4 × √3/2

⇒ x = 2√3

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The complete question is:

In the figure, △

ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to


What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?

Answers

well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72[/tex]

Final answer:

The equation of the circle with center (11, 6) that passes through the point (17, 12) is (x - 11)² + (y - 6)² = 72.

Explanation:

To find the equation of the circle with center (11, 6) that passes through the point (17, 12), we first determine the radius of the circle. The radius can be found by calculating the distance between the two points using the distance formula: √[(x2-x1)² + (y2-y1)²]. Plugging in the coordinates, we get √[(17-11)² + (12-6)²] = √[6² + 6²] = √[36 + 36] = √72. The squared radius (r²) is therefore 72.

The general form for the equation of a circle is: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. Substituting the center (11, 6) and the squared radius 72 into this equation, we get: (x - 11)² + (y - 6)² = 72, which is the desired equation of the circle.

What is 89 divided by 3 in decimal form

Answers

Answer:

29.67

Step-by-step explanation:

[tex]89 \div 3 \\ \implies 29.6666666 \\ \implies \boxed{ \bf 29.67}[/tex]

_______________________

Thanks for the question!

When rounded to two decimal places, 89 divided by 3 is approximately 29.67.

To calculate 89 divided by 3 in decimal form, we perform the division operation:

89 ÷ 3 ≈ 29.666666...

The division result is a repeating decimal with the digit 6 repeating infinitely. However, since you asked for the answer in decimal form, rounded to a certain number of decimal places, we can round the result to a reasonable precision.

Let's round it to two decimal places:

89 ÷ 3 ≈ 29.67

So, when rounded to two decimal places, 89 divided by 3 is approximately 29.67.

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