Find the distance from N to T.

a.) 29
b.) square root of 14
c.) 7
d.) square root of 29

Find The Distance From N To T.a.) 29b.) Square Root Of 14c.) 7d.) Square Root Of 29

Answers

Answer 1

Answer:

The distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Step-by-step explanation:

From the given the diagram

N(-2, -1)T(3, 1)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]

[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+2^2}[/tex]

[tex]=\sqrt{25+4}[/tex]

[tex]=\sqrt{29}[/tex]

Therefore, the distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Answer 2

Answer:

it is the square root of 29

Step-by-step explanation:


Related Questions

Show it four ways
15+18=33

Answers

Answer:

Check Explanation

Step-by-step explanation:

15 cars plus 18 cars is 33 cars

15 fish plus 18 fish is 33 fish

15 cups plus 18 cups is 33 cups

15 dollars plus 18 dollars is 33 dollars

What is a slope that is parallel to a slope of 5/3

Answers

Answer: 5/3

Step-by-step explanation: Parallel lines have the same slope.

So, a parallel slope would be 5/3

Hope this helped!

Creating a license plate with 3 letters followed by 4 digits from 0-9. (Assume you may repeat letters and numbers.)

Answers

Answer:

OHIO1801

Step-by-step explanation:

THIS LICENCE PLATE IS ORIGINALLY FROM OHIO ( I MADE IT UP (NOT THE PLACE BUT THE LICENCE PLATE) HONESTLY)

Is -x + 4y=5 in Standard form of a Linear Function or not?

Answers

Answer:

Yes, it is in Standard Form.

Step-by-step explanation:

A linear function in Standard Form would look like:

Ax + By = C

where A, B, and C are real numbers.

A good way to check if a linear function is in Standard Form is by checking if the only the variables and coefficients found on one side of the equation and a real number is found by itself on the other side.

The linear function, -x + 4y = 5, has only the variables and coefficients on the left side of the function, and a real number (5) by itself on the right side.

The linear function, -x + 4y = 5, is in Standard Form.

I hope this helps. :)

In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°. Circle D is shown. Points A, B, and C are on the circle. Point C is on the opposite side of points A and C. LInes are drawn from point A to point B, from point B to point C, from point C to point D, and from point D to point A. Angle A D C measures (7 x + 2) degrees. Arc A C measures (8 x minus 8) degrees. What is the measure of Angle A B C ? 36° 43° 72° 144°

Answers

Answer:

The measure of angle ABC is 36° 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arcThe measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arcThe vertex of a central angle is the center of the circle and its sides are radii in the circleThe vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC = [tex]\frac{1}{2}[/tex] m∠ADC

∴ m∠ABC = [tex]\frac{1}{2}[/tex] × 72

m∠ABC = 36°

Answer:

36

Step-by-step explanation:

If a rectangle has a length of 10 centimeters and a width of 6 centimeters, what is the area? A) 16 cm2 B) 32 cm2 Eliminate C) 60 cm2 D) 64 cm2

Answers

Answer:

b)32 cm

Step-by-step explanation:

Answer:

C) 60 cm²

Step-by-step explanation:

A= lw

A= 10(6)

A= 10 × 6

A= 60

solve the following system of equations 2x-5y=6 and -2x+10y=-16

Answers

Answer:

The answer is

y=-2

x=-2

Step-by-step explanation:

You use combination to solve it;

2x-5y=6 minus 2x+10y=-16

5y=-10

y=-2

x=-2

plug in the solution into the equation to verify your answer

Identify the polygon that has vertices P(−6,2), A(−3,3), T(0,2), and H(−3,1), and then find the perimeter and area of the polygon.
rhombus; P=6 units; A=4√ 1 0 units2

parallelogram; P=6 units; A=4√ 10 units2

rhombus; P=4√ 10√ units; A=6 units2
rhombus; P = 40 units; A = 12 units2

Answers

Answer:

[tex]p=4\sqrt{10}units[/tex]

[tex]A=6units[/tex] [tex]square[/tex]

Step-by-step explanation:

Given,

[tex]P\left ( -6,2 \right ),A\left ( -3,3 \right ),T\left ( 0,2 \right ),H\left ( -3,1 \right )[/tex]

Distance between two points

[tex]h=\sqrt{\left ( x_{1}-x_{2} \right )^{2}+\left ( y_{1} -y_{2}\right )^{2}}[/tex]

[tex]PA=\sqrt{\left ( -6+3 \right )^{2}+\left ( 2-3 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]AT=\sqrt{\left ( -3+0 \right )^{2}+\left ( 3-2 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]TH=\sqrt{\left ( 0+3 \right )^{2}+\left ( 2-1 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]HP=\sqrt{\left ( -3+6 \right )^{2}+\left ( 1-2 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]PA=AT=TH=HP[/tex]        (i)

Length of diagonal

[tex]d_{1} =PT=\sqrt{\left ( -6+0 \right )^{2}+\left ( 2-2 \right )^{2}}[/tex]

[tex]=\sqrt{36+0}=6[/tex]

[tex]d_{2}=AH=\sqrt{\left ( -3+3 \right )^{2}+\left ( 3-1 \right )^{2}}[/tex]

[tex]=\sqrt{0+4}=2units[/tex]

Length of diagonals are not equal

[tex]d_{1} \neq d_{2}[/tex]                     (ii)

From above conditions this polygon is rhombus

Perimeter of rhombus =4×length of side

[tex]p=4\sqrt{10}units[/tex]

Area of rhombus

[tex]A=1/2\times d_{1}\times d_{2}[/tex]

[tex]a=1/2\times 6\times 2[/tex]

[tex]A=6units[/tex] [tex]square[/tex]

Final answer:

To answer the student's question, the identification of a polygon and its perimeter and area calculation depend on analyzing the given vertices, using the distance formula to calculate the perimeter, and appropriate area formulas related to the specific polygon identified.

Explanation:

The student is asking about the identification of a polygon with four given vertices and the calculation of its perimeter and area. To identify the polygon, we need to analyze the given points P(−6,2), A(−3,3), T(0,2), and H(−3,1). By plotting these points and connecting them, we could determine the shape and properties of the polygon.

Once the polygon is identified, we can calculate the perimeter by finding the distance between each pair of consecutive vertices (sides of the polygon) and summing them up. The area can be found using the appropriate formula, which is dependent on the type of polygon we identify.

Without the explicit calculations included in the student's question, it is difficult to verify the exact answer among the choices presented. However, we can guide them to use the distance formula for the perimeter and, depending on the shape, utilize formulas such as for a rhombus or parallelogram to find the area. For example, the area of a parallelogram is the base times height, and for a rhombus, it can also be calculated as half the product of its diagonals.

Write this ratio as a fraction in simplest form without any units. 21 feet to 10 yards

Answers

Final answer:

The ratio 21 feet to 10 yards can be simplified and written as a fraction. By converting feet to yards, we get the ratio 7 yards to 10 yards or the fraction 7/10, which is already in its simplest form.

Explanation:

In order to write the ratio 21 feet to 10 yards as a fraction in simplest form, we need to first convert feet into yards. One yard is equivalent to three feet. Therefore, we can transform 21 feet to 7 yards. The ratio thus translates to 7 yards to 10 yards. Writing this ratio as a fraction, we get 7/10. Since 7 and 10 have no common factors other than 1, the fraction 7/10 is already in its simplest form.

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How many solutions does the system of linear equations represented in the graph below have?

A: No solution
B: one solution
C: infinitely many solutions
D: none of the above

Answers

Answer:

infinite solutions

Step-by-step explanation:

If your graph has lines that are not touching and are parallel to each other, there would be an infinite amount of solutions to this graph.  

The number of solutions should be infinite solutions

The following information should be considered:

In the case when the graph contains lines that are not touching and are parallel to each other, so there should be infinite amount of solutions to this graph.  Therefore, the option c is correct.

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A farmer owns a rectangular-shaped farm. She knows that the length is 2 km longer than the width and the perimeter is 16 km. Find 'x', the width of her
farm.

Answers

Answer:

x = 3

Step-by-step explanation:

x + x + x + 2 + x + 2 = 16 (combine like terms)

4x + 4 = 16 (subtract 4 from each side)

4x = 12 (divide each side by 4)

x = 3

Let's check:

(3 + 2) × 2 = 10

3 × 2 = 6

10 + 6 = 16

It works.

Answer:

length= 5 km

Width=3 km

Step-by-step explanation:

Length=Width+2

L=W+2

Perimeter = 16 km

Perimeter of the rectangular field = 2(Length+Width)

                                     [tex]16 = 2*(Width+2+Width)\\\16=2(W+2+W)\\\\16=2(2W+2)\\\\16/2=2W+2\\\\8=2W+2\\\\2W=8-2\\\\2W=6\\\\W=6/2\\\\W=3 km[/tex]

Length(L)=Width+2= 3+2=5 km

length= 5 km

Width=3 km

A wire is first bent into the shape of a square. Each side of the square is 6cm long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 9cm, what is its width?

Answers

Hi there!

Assuming a perfect square: we know there are 4 sides in a square, and all of them have equal length. This means that every side of the square is 6 cm, and with 4 sides, that would make an overall length / perimeter of 6 + 6 + 6 + 6, or 6*4, which would equal 24 cm. This means that our wire must be 24 cm long.

Now, for the rectangle. We know with rectangles that they also have 4 sides, and in pairs of 2 in terms of length (2 of the sides have the same length, and the other two have the same length). This means we know there are 2 sides that are 9 cm, which would mean 18 cm in total. This is the total amount of wire taken up by the length, but we are looking for the width. Thus, we can see how much wire is leftover not taken up by the length by subtracting 18 from 24:

24-18=6

Now, we see that the two sides that make up the width are 6 cm long. As those two sides are equal length, we can divide 6 cm into two equal parts to see the width.

6/2 = 3 cm.

Thus, the width of the rectangle is 3 cm.

Hope this helps!

Final answer:

The wire, when bent into a square, has a total length of 24cm. When reshaped into a rectangle with a length of 9cm, the width must be 3cm to maintain the same total length.

Explanation:

The subject of this problem is geometry and algebra. We know that a wire is bent into the shape of a square with each side being 6cm. The total length of the wire is the perimeter of the square, which can be calculated as 4 * side length, so the total length of the wire is 4*6 = 24cm.

Then the wire is reshaped into a rectangle where the length is given as 9cm. Since the total length of the wire has not changed, the perimeter of the rectangle is also 24cm. The perimeter of a rectangle can be calculated as 2*(length + width). If we set this equal to 24, we get 2 * (9 + width) = 24. Solving for width, we find that the width is 3cm.

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Jeremy washes 3/8 of the plates from dinner if 16 plates were used how many plates did Jeremy wash

Answers

Answer:6

Step-by-step explanation: we simplify 1/16 by dividing it in half, so half of 16 is 8. And according to the question there were 3/8 washed plates. So we reverse that by multiplying the fraction by 2. 3/8•2= 6/16.

A college has a 2:3 ratio from men to women what fraction of the college is women

Answers

[tex]\frac{3}{5}[/tex] of the fraction of the college is women

Explanation:

The college has a 2:3 ratio from men to women.

The number of men in the college is 2.

The number of women in the college is 3.

The total number of students in the college is [tex]2+3=5[/tex]

We need to determine the fraction of the college is women.

The fraction of the college can be determined by substituting the values in the formula,

[tex]\frac{\text { Number of women }}{\text { Total number of students }}$[/tex]

Substituting the values, we have,

[tex]\frac{3}{5}[/tex]

Hence, [tex]\frac{3}{5}[/tex] of the fraction of the college is women.

A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?

Answers

Average speed of the car is 29.85 miles/hr

Step-by-step explanation:

Step 1: Calculate speed when distance = 20 1/2 = 20.5 miles and time = 2/3 hr = 0.67 hrs.

Speed = Distance/Time = 20.5/0.67 = 29.85 miles/hr

If f(x) = 4x^0 + (4x)^-1, what is the value of f(4)

Answers

Answer:

[tex]\frac{65}{16}[/tex] or 4.0625

Step-by-step explanation:

To solve this problem, all we have to do is input the value x = 4 into the equation and solve.

f(4) = 4(4)^0 + (4x)^-1

f(4) = 4(1) + 1/4(4)

f(4) = 4 + 1/16

f(4) = [tex]\frac{64}{16}[/tex] + [tex]\frac{1}{16}[/tex]

f(4) = [tex]\frac{65}{16}[/tex]

f(4) = 4.0625

Divide. Round your answer to nearest hundredth. 0.391 ÷ 0.48

Answers

The answer is .815
When you divide it you get .8145 and rounded to the nearest hundredth it’s .815

Answer:0.81

Step-by-step explanation:

0.391/0.48 =0.814583333...

So when rounding up to the nearest hundredth you have to stop 0.81 and because 4 is the next number after 0.81, you don't need to change the 1 at the end.

6 2/3 x 3 1/3 x 5 1/4

Answers

Answer:

116 2/3

Step-by-step explanation:

Turning each of them to improper fraction, we have

6 2/3 =20/3

3 1/3= 10/3

5 1/4= 21/4

Multiply them

20/3 times 10/3 times 21/4

We have 350/3

Turning it back to a mixed fraction, we have

116 2/3

Because 350/3 is 116 remainder 2.

Question 13 pls. Brainliest for the first answer

Answers

Answer: a child ticket costs $14.50

Step-by-step explanation:

x=children ticket

x+4.50=adult ticket

3 children and 2 adult

3x+2(x+4.50)=81.50

3x+2x+9.00=81.50

5x+9.00=81.50

5x+9.00-9.00=81.50-9.00

5x=72.50

5x/5=72.50/5

x=14.50

Which of the following statements is true?

a.The ratio of two integers is an irrational number.

b.An irrational number is a non-terminating, non-repeating decimal.

c.A perfect square is an irrational number.

d.Rational numbers are always positive.
IF IT WRONG NO MARK

Answers

Answer:

Option B

Step-by-step explanation:

The statement that is proven true in this question is option B or "An irrational number is a non-terminating, non-repeating decimal." A non-terminating or a non-repeating decimal is a decimal that never ends it's repeating forever and all repeating decimals are irrational numbers because the decimal cannot be expressed as a ratio with other integers so a repeating decimal is a irrational number.

Hope this helps.

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7.

Answers

Answer: 1.5 common difference

Step-by-step explanation:

7 = 10.2, 12 = 17.7

d = 17.7 - 10.2/ 12 - 7

d = 7.5/ 5

d = 1.5

Susan has 6 apples.
She split the 6 apples
With her and 2 of her friends.
How many apples does each person get?

Answers

PLEASE MARK BRAINLIEST!

Answer:

Lets see...

Step-by-step explanation:

Facts:

she has 6 applesShe has to divide them among her and her friends evenlyIf she has to divide them among her and her 2 friends, that means that she has to divide 6 apples among 3 people.

So the real question is, "If you have 6 apples and 3 people to give them to, how many apples will each person get?"

Solve:

6 ÷ 3 = 2

Each person will get 2 apples.

I hope this helps!

- sincerelynini

A spherical water tank has a diameter of 14.5 feet.

How much water can the tank hold?

Use 3.14 for π.



Question 5 options:

1595.45 ft3


12,763.6 ft3


389.86 ft3


90.06 ft3

Answers

Answer:

1595.45 ft3

Step-by-step explanation:

The formula is (4/3) *3.14*r^3

since the diameter is 14.5, the radius is 7.25

(4/3) *3.14*(7.25^3)

Answer: 1595

Step-by-step explanation:

The volume formula uses the radius of the sphere not the diameter.

You start at (-5, 5). You move down 6 units and up 5 units. Where do you end?

Answers

Answer:

(-5, 4)

Step-by-step explanation:

if you are moving up and down only the y part of the coordinate will change so 5 going 6 down would put you at -1 then going 5 up would put you at 4

Final answer:

Starting at (-5, 5), moving down 6 units and then up 5 units results in a final position of (-5, 4).

Explanation:

If you start at the point (-5, 5) and then move down 6 units, your vertical position decreases by 6. That means you subtract 6 from 5, the y-coordinate, resulting in -1. However, if you then move up 5 units, you're adding 5 back to your y-coordinate. So, you take -1 and add 5, which results in 4. Your final position then is still at the same x-coordinate, -5, but with a new y-coordinate of 4. Therefore, the point you end up at is (-5, 4).

There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls available in the gym to throw. What is the population density of the balls in the gym (balls per square foot)?

Answers

Answer:

2 balls/ft²

Step-by-step explanation:

The area of the gym is:

A = (100 ft) (60 ft)

A = 6,000 ft²

The population density is:

D = 12,000 balls / 6,000 ft²

D = 2 balls/ft²

Final answer:

To calculate the population density of balls in a gym, divide the total number of balls by the gym's area in square feet. In this case, with 12,000 balls and a gym of 6,000 square feet, the population density is 2 balls per square foot.

Explanation:

The question involves calculating the population density of balls in a gym. First, we need to find the area of the gym to understand the space these balls will occupy. The gym is 100 feet long and 60 feet wide, thus its area is 100 * 60 = 6,000 square feet.

Next, we're told there are 12,000 balls available in the gym. To find the population density of the balls, the number of balls is divided by the area of the gym. So, the population density is 12,000 balls divided by 6,000 square feet, which equals 2 balls per square foot.

Select the decimal that is equivalent to 13^75

Answers

Answer:

3.51359276e83

Step-by-step explanation:

3.51359276e83

What is the quadratic equation with the given roots 3 and -2/3

Answers

Answer:

x^2 - 7/3x-2

Step-by-step explanation:

x1=3, x2 =-2/3

(x-x1)(x-x2)=(x-3)(x-(-2/3))=

(x-3)(x+2/3)=x*x+x*2/3-3*x-3*2/3=

x^2 +2/3x-3x-6/3=

x^2 +2/3x-9/3x-2=

x^2 - 7/3x-2

364.9 is 10% of what number?

Answers

Answer:

3649

Step-by-step explanation:

x * 0.1 = 364.9

x = 364.9 / 0.1 = 364.9 * 10

x = 3649

The graph f(x) shown below resembles the graph of g(x)=x3 but it has changed somewhat. Which of the following could be the equation of f(x)?

Answers

Answer: C

Step-by-step explanation:

A rational expression simplifies to1/2 The denominator of the original expression is given. Which polynomial is the numerator?
?/6x2 - 2x - 8

6x2 – 2x – 16
3x - 4
12x2 - 4x – 16
o 3x2-x-4

Answers

Answer:

3x^2-x-4

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation: Edge 2021.

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Whichselection below is an example of those rights?Select one:O A. all unenumerated individual rights are ceded to CongressO B. states have rights of authority over the federal governmentO C. stating rights in the Bill of Rights does not mean these are the only rights of citizensO D. only those rights listed are protected for citizens How much Na2SO4 solution (in L) must be added to initiate the precipitation of CaSO4? briefly explain why it is necessary to empty the recycle bin on the computer In a(n) _____ structure, which usually is based on interpersonal relationships, some people have more influence or knowledge than appears on an organization chart. Why do authors use allusions in fiction and literary nonfiction texts?A. to call attention to certain words by creating rhythm with their wordsB. to create a contrast between how things seem and how they really areC. to help readers make connections by referencing an event, a person, or another textD. to make readers pause and think about the contradiction that has been created A cylindrical specimen of a brass alloy having a length of 60 mm (2.36 in.) must elongate only 10.8 mm (0.425 in.) when a tensile load of 50,000 N (11,240 lbf ) is applied. Under these circumstances what must be a radius of the specimen What property would justify the following statement?If a = b and b = c, then a = c. Whenever Mr. Kerrigan picked up his young son, Billie, from soccer practice he would have to drive past a Dairy Queen. Every time Billie saw the large Dairy Queen sign, Billie would begin to scream. Mr. Kerrigan did not like his sons screaming. To make his son stop screaming for ice cream, Mr. Kerrigan would pull over and buy ice cream for Billie. This stopped Billies screaming. In this short example, what is an example of positive reinforcement? What is an example of negative reinforcement? (Hint: both Billie and his dad are being conditioned in this story). How could Billies dad use conditioning to prevent Billie from screaming in the future?