Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).

Answers

Answer 1

7.88 units is the distance between points T(13, 1.6) and V(5.4, 3.7).

To find the distance between the points T(13, 1.6) and V(5.4, 3.7), we can use the distance formula:

Distance formula:

For two points [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex], the distance between them is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.[/tex]

Let's plug in the coordinates of points T and V:

Distance = [tex]\sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}[/tex]

= [tex]\sqrt{(-7.6)^2 + (2.1)^2}[/tex]

= √(57.76 + 4.41)

= √62.17

= 7.88.

So, the distance between points T(13, 1.6) and V(5.4, 3.7) is approximately 7.88 units.

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Related Questions

474: the 4 in the ones place is _____ the value of the 4 in the hundreds place.

Answers

Final answer:

In the number 474, the 4 in the ones place is less than the value of the 4 in the hundreds place by a factor of 100 because each position to the left in the place value system is worth ten times more than the one to its right.

Explanation:

The question deals with the concept of place value in mathematics. Specifically, it requires understanding how the value of a digit changes based on its position within a number. In the number 474, the 4 in the ones place has a value of 4, whereas the 4 in the hundreds place has a value that is 100 times greater, since each move to the left in place value represents a multiplication by 10. Therefore, the 4 in the ones place is less than the value of the 4 in the hundreds place. Here's a simple breakdown of the place values in the given number 474:

The first 4 (from left to right) is in the hundreds place, so its value is 4 x 100 = 400.The second 4 is in the ones place, so its value is 4 x 1 = 4.

Since 1 is less than 100, the 4 in the ones place is worth less than the 4 in the hundreds place by a factor of 100.

Final answer:

The value of the 4 in the ones place is 10 times the value of the 4 in the hundreds place.

Explanation:

The 4 in the ones place is 10 times the value of the 4 in the hundreds place.

A box contains 5 blue marbles 3 red marbles and 6 white marbles. if three marbles are drawn, without replacement, what is the probability that all three are blue?

Answers

The probability that all three are blue it's 3:14

The formula for the perimeter of a rectangle is P=2(L+W) solve for W.
A. W=p/2-l
B. W=2p-l
C. W=p-2/+l
D. W=P/2+L

Answers

cccccccccccccccc because u would want to get w by it self

Answer:

Option A - [tex]W=\frac{P}{2}-L[/tex]

Step-by-step explanation:

Given : The formula for the perimeter of a rectangle is P=2(L+W).

To find : Solve for W ?

Solution :

The formula for the perimeter of a rectangle is

[tex]P=2(L+W)[/tex]

Multiply,

[tex]P=2L+2W[/tex]

Subtract 2L both side,

[tex]P-2L=2W[/tex]

Divide by 2 both side,

[tex]W=\frac{P-2L}{2}[/tex]

or [tex]W=\frac{P}{2}-L[/tex]

Therefore, Option A is correct.

Based on this excerpt, we can conclude that autism

Answers

I'm guessing you want a definition of autism if so "a mental condition, present from early childhood, characterized by difficulty in communicating and forming relationships with other people and in using language and abstract concepts."
Hope this helps. (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Plzzzz Help mee with the one that isnt answered look at the pic i took

Answers

Well all you have to do is multiply 5 by 500 giving you your answer so...

500×5=25000

So she defends 25000 feet.

Find the approximate side length of a square game board with an area of 192 in2.

Answers

Squares have 4 equal sides, thus, the answer is 48 in^2.

look it's a square therefor it will have 4 sides hence the answer will be 48 /2 which is 16

What are the steps to find x

Answers

6 - 3(x +2) = 15
First you would want to distribute
6 - 3x - 6 = 15
Then combine like terms
-3x = 15
Then divide
x = -5

6-3(x+2)=15 (problem)
6-3x-6=15 ( distributive property)
-3x=15 ( combine like terms)
x=-5 ( divide both sides by -3)

One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid.

Answers

the formula for area of a trapezoid is: 1/2 (b1+b2) h
b1=10
b2=10·2=20 because it stated the side parallel is twice as long as the side above
h=10/2=5 because the height is half as long as the give side length
area of the trapezoid is: 1/2 (10+20) 5
(5·10)·5
50·5
area of the trapezoid is 250 in²

A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 66 feet per second. The elevator for the miners descends 1616 feet per second. One day, the equipment elevator begins to descend. After 2323 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 1616 seconds? At that time, which elevator is deeper? The position of the equipment elevator relative to the surface is negative 234−234 feet. The position of the elevator for the miners relative to the surface is nothing feet.

Answers

Given that the equipment elevator descends at 6 feet per second.

The total number of seconds travelled by the equipment elevator is 23 + 16 = 39 seconds.

Thus the position of the equipment elevator relative to the surface is given by -(6 x 39) = -234 feet.

Given that the miners elevator descends at 16 feet per second.

The total number of seconds travelled by the miners elevator is 16 seconds.

Thus, the position of the miners elevator relative to the surface is given by -(16 x 16) = -256 feet.

At that time the miners' elevator is deeper.

Prove that the cube root of 2 is irrational.

Answers

The cube root of 2 is irrational. The proof that the square root of 2 is irrational may be used, with only slight modification. Assume the cube root of 2 is rational. Then, it may be written as a/b, where a and b are integers with no common factors. (This is possible for all nonzero rational numbers). Since a/b is the cube root of 2, its cube must equal 2. That is, (a/b)3 = 2 a3/b3 = 2 a3 = 2b3. The right side is even, so the left side must be even also, thatis, a3 is even. Since a3 is even, a is also even (because the cube of an odd number is always odd). Since a is even, there exists an integer c such that a = 2c. Now, (2c)3 = 2b3 8c3 = 2b3 4c3 = b3. The left side is now even, so the right side must be even too. The product of two odd numbers is always odd, so b3 cannot be odd; it must be even. Therefore b is even as well. Since a and b are both even, the fraction a/b is not in lowest terms, thus contradicting our initial assumption. Since the initial assumption cannot have been true, it must be false, and the cube root of 2 is irrational.

A used-boat dealership buys a boat for $2600 and then sells it for $3800. What is the percent increase?

the % increase is about ?%

Answers

46% Find the difference of 2600 and 3800= 1200. Now divide 1200 into 2600. If you round the number it will be 0.46= 46%

Solve each system by elimation 2x-3y=6 and 6x-9y=9

Answers

6x - 9y = 9....divide everything by 3
2x - 3y = 3
-3y = -2x + 3
y = 2/3x - 1....slope is 2/3, y int is -1

2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2...slope is 2/3, y int is -2

same slope, different y int means parallel lines means no solutions

The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.

Answers

a + b = 90
a = 2b - 15

2b - 15 + b = 90
3b - 15 = 90
3b = 90 + 15
3b = 105
b = 105/3
b = 35 <== second angle

a = 2b - 15
a = 2(35) - 15
a = 70 - 15
a = 55 <== first angle

Answer: The measure of angle a is 90-25=65° and the measure of angle be is 25°.

Step-by-step explanation:

Let the two complementary angles be 'a' and 'b'.

So, the sum of two complementary angles is 90°.

So, it becomes,

[tex]a+b=90^\circ---------------(1)[/tex]

First angle is 15 less than twice the measure of the second angle.

So, it becomes,

[tex]a=2b-15-------------(2)[/tex]

Put the equation (2) in equation (1), we get

[tex]a+b=90^\circ\\\\2b-15+b=90^\circ\\\\3b+15=90^\circ\\\\b=90-15\\\\3b=75^\circ\\\\b=\dfrac{75}{3}\\\\b=25^\circ[/tex]

Hence, the measure of angle a is 90-25=65° and the measure of angle be is 25°

Scott and Teri read mystery novels. Teri has read 3 less than 5 times as many as Scott. She has read 17. How many has Scott read?

Answers

Scott read 4. Put it this way: x=4. If = 4, then put it into an equation. 5x-3= 17. So, you add three to both sides, then it comes out as this: 5x= 20. Divide by five, and you get x= 4.

Setup an equations:
S = # Scott has read
T = # Teri has read

T = 5S - 3 (3 less than means subtraction but switch term order)
17 = 5S - 3 ( substitute 17 for T because Teri read 17)
4 = S (when you solve the equation)
Therefore, Scott read 4 books.

Jane has read 108 pages of her book. Kevin is reading the same book and has 80 pages left to read. If there are 200 pages in the book by how much percent is the number of pages left for Jane greater then Kevin

Answers

6% because you have to subtract 108 from 200 (92) and subtract 80 from that (12) and because there is 200 pages and the percent is out of 100, you have to divide 2 by 12 and you get 6

A motor racing circuit has the length of 5 5/6 milesa straight section of the circuit has the length 1 1/4 mileswhat fraction of the circuit is the straight section?

Answers

The straight section is 3/14 of the total circuit. This is mostly a problem of adjusting fractions to have common denominators. The fraction of the total circuit is ( length of straight section ) / ( length of total racing circuit ) = ( 1 1/4 ) / ( 5 5/6 ) first, convert the integer parts to a fractions with the same denominator as the fractional part: = ( (1x4)/4 + 1/4 ) / ( (5x6 / 6) + 5/6 ) combine the fractions to make a single fraction in numerator & denominator: = ( 4/4 + 1/4 ) / ( 30/6 + 5/6 ) = ( 5/4) / ( 35/6 ) the division by 35/6 can be done by instead multiplying by the inverse of 35/6: = 5/4 x 6/35 which is done by multiplying the numerators and denominators, and then simplifying by factoring out common divisors from top and bottom: = ( 5 x 6 ) / ( 4 x 35 ) = 30 /140 = 6 / 28 = 3/14

Answer:

3/14

Step-by-step explanation:

What's the missing side

Answers

x = 35/sin(40) = 54.4503

round answer as needed.

The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find the side lengths of the triangle

Answers

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

Final answer:

To find the side lengths of the right triangle, we let the shorter leg be x cm, resulting in the longer leg and hypotenuse being (x + 4) cm and (x + 8) cm, respectively. Using the Pythagorean theorem, we establish the equation x² + (x + 4)² = (x + 8)², then solve for x to determine the side lengths.

Explanation:

The problem involves solving for the lengths of the sides of a right triangle using the Pythagorean theorem. Let the shorter leg of the triangle be x cm. According to the problem statement, the longer leg would then be x + 4 cm, and the hypotenuse would be x + 8 cm. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Using the theorem we can set up the equation:

x² + (x + 4)² = (x + 8)²

Solving for x will give us the lengths of the sides of the triangle:

Shorter leg: x cmLonger leg: x + 4 cmHypotenuse: x + 8 cm

Six times a number , less 11 is 49

Answers

6x - 11 = 49
+ 11 + 11
6x = 60
/6 /6
x = 10

The answer is 10.

I need to find the answer to 2/3 - 1/5. What is it?

Answers

2/3 - 1/5

make a common denominator

10/15 - 3/15

simplify

7/15 is your answer

hope this helps

Which of the following is rational?
A. 3 x pie
B. 2/3 + 9.26
C. root 45 + root 36
D. 14.333... + 5.78765239...

Answers

The correct answer is B
2/3 is a rational number + 9.26 (also rational) = rational answer

In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?

A. 10 units
B. 10 + 2√10 units
C. 20 units
D. 20 + 2√10 units

Answers

Answer:

D. 20 + 2√10 units

Step-by-step explanation:

Perimeter is the distance all round a figure.

AB = 10. This is given in the question

AC = √((3-5)²+(4--2)²

= √(4+36)

=√40 = 6.32 units

BC = 5 - -5 = 10 units

Perimeter = AB+AC+BC

= 10+6.32+10

= 26.32 units

how do you work out px+py=a?

Answers

[tex]\bf px+py=a\implies \stackrel{\textit{common factor}}{p}(x+y)=a\implies p=\cfrac{a}{x+y}[/tex]

___ L = 240 kL ?

A. 24,000
B. 240,000
C. 0.240
D. 2.4

Answers

Answer: B.240,000
240 Kiloliter =240,000 Liter

Ray divides ∠COA into two angles of what measure?
20
30
40
35

Answers

The answer to ur question is 20 degree angles cause each dot is 5 degrees so that would equal 20 after you split them up

Answer:

Step-by-step explanation:

How do you know that 6:14 is equivalent to 15:35 using a multiplication table?

Answers

Answer:Sample answer: Using a multiplication table, you would see that 6 and 15 are multiples of 3 by factors 2 and 5. You would also see that 14 and 35 are multiples of 7 by factors 2 and 5.

The required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.

Given that,
To determine that 6:14 is equivalent to 15:35 using a multiplication table.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
the given ratios are,
1) 6 : 4 = 6/4 = 2* 3/ 2 *7
2) 15:35= 15 / 35 = 5 * 3 / 5 * 7

Implies both the ratios are equivalent, by
6 : 14 = 15 : 35
2[ 3 : 7] = 5 [ 3 : 7 ]

Thus, the required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.

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please help fast and show all work thanks

Answers

(-1-16^)^2+(14-16)^2
(-7)^2+(-2)^2
49+4
53= 7.3
So 7.3 is your answer

Write the slope-intercept form of the equation for the line

Answers

y= 2x -1. I hope this helps love! :)

A fourth degree polynomial with five terms could have, at most, how many different linear factors?

Answers

Given that a linear factor is of the type (x - k) where the value k is called a "root" (or a zero) of the polynomial, then you can easily imagine that H(x - a)(a - b)(x - c)(x - d) has no choice but to end up as a polynomial that begins with a term in x^4. (H is just a scalar = normal number that becomes the "leading coefficient" of the polynomial, once you perform the multiplication that rebuilds the polynomial) The number of terms in the polynomial does not really matter. for example, something like (x+1)(x-1)(x+2)(x-2) = x^4 - 5x^2 + 4 It is still a "fourth degree" polynomial; It is still a "real" polynomial (the coefficients 1, -5 and 4 are all real numbers) If you imagine throwing in a 5th linear factor, as in (x - a)(x - b)(x - c)(x - d)(x - e) there is no way to avoid ending up with an x^5 It is no longer a "fourth degree" polynomial. Therefore, a fourth degree polynomial CANNOT have more than 4 linear factors. Does not matter how many terms it has.

The correct answer is: c. 4. In some cases, a fourth-degree polynomial with five terms could have at most 4 different linear factors.

To understand how many different linear factors a fourth-degree polynomial with five terms could have at most, let's consider the Fundamental Theorem of Algebra, which states that a polynomial of degree (n) has exactly (n) complex roots, counting multiplicity. For a fourth-degree polynomial, this means it can have at most 4 linear factors, as each linear factor corresponds to a root.

However, the polynomial could have repeated roots, reducing the number of distinct linear factors. If all four roots are distinct, then there will be 4 different linear factors. But if one or more roots are repeated, the number of different linear factors will decrease. The polynomial could have fewer than 4 distinct linear factors if it has repeated roots.

Complete Question:

A fourth degree polynomial with five terms could have, at most, how many different linear factors?

a. 3

b. 2

c. 4

d. 5

Any nonzero number to the power of zero is equivalent to _____.

Answers

the answer to this question is 0

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