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3 years ago

What is the distance between the two points (-2 ,1 )and (4, 3)

Mathematics

1 answer:

kirill [66]3 years ago

3 0

Solution:

Distance between two points = √(3−4)^2+(−2−3)^2

= √(−1)^2+(−5)^2

= √1+25

= √26

= 5.099

Distance between points (4, 3) and (3, -2) is 5.099.

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Rectangle pqrs had vertices p(-4,3),q(-2,5),r(3,0) and s(1,-2). the diagonals of the rectangle bisect eachother. atwhich point d

olganol [36]

Answer:

Step-by-step explanation:

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2 years ago

Is negative 108.8 rational?

lord [1]

The number -108.8 is a rational number

<h3>How to determine if the number is rational?</h3>

The number is given as:

negative 108.8

Rewrite properly as:

-108.8

Rational number have terminating decimals, and they can be represented as fractions.

The fraction equivalent of -108.8 is -1088/10

Hence, the number -108.8 is a rational number

Read more about rational numbers at:

brainly.com/question/1535013

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2 years ago

This week Kent worked 15 hours at $12.50 an hour. His paycheck, including his commission, was $263.85. Ken wants to

EastWind [94]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

a milk tank at a a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of it

AURORKA [14]

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5 Given

W = 5/7 * 3.5 Divide by 7

W = 5 * 0.5 Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1 Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

7 0

3 years ago

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y

jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0

3 years ago