MATHEMATICS HIGH SCHOOL

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (2, 5), (6, 1), (4, –1)

A.
(0, 2)

B.
(0, 3)

C.
(1, 3)

D.
(1, 4)

Answers

Answer 1
Answer: The distance between (2,5) and (6,1) is:

\sf Distance = √(\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2) \n\n =√( 16 + 16) \n \n = \boxed{\bf{4 √( 2 ) }}

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

\sf Distance = √(\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2) \n \n= √( 16 + 16) \n \n = \boxed{\bf{4 √( 2 ) }}

Your final answer is B. (0,3)

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In which number system does the equation have a solution? x^2=20 integers natural numbers C) rational numbers irrational numbers

Answers

D, irrational numbers. The opposite of squaring something is to find the square root and the square root of 20 is 4.4... 4.4 is an irrational number, therefore that is your answer. It wouldn't be rational because you can t write it as a fraction, 4.4 isn't a whole number so its not natural, and its not an integer because if you have anything right of the decimal point that is not zero, it's not an integer.

Fill in the common equivalents. 1.) 66 2/3%
= ?/?

Answers

well 66 is 66 and 2/3 is 66.6 repeating so 66 

Voluntary deductions include ____. (1 point)

Answers

Answer:

B

A

D

C

Extra:

1. Salaried employees are _____. (1 point)

B) (1pt) paid a set amount for a set number of work hours

2. Voluntary deductions include ____. (1 point)

A) (1pt) health insurance premiums

3. You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?(1 point)

D) (1pt) $15.00/hour and a $2,000 bonus at the end of the year

4. You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?(1 point)

C) (1pt) $30,000/year with a 10% bonus
Voluntary deductions include, payroll, benefits, parking, IMA, Husky Card, and gift account offices.

Please help solve x^2-2x-4=0

Answers

Simple....

you have x^(2) -2x-4=0

To solve...you must complete the square...

use ( (b)/(2) ) ^(2) to create a new term...

x=1(+/-)√(5)

Thus, your answer.

(Or, x≈3.23606797, -1.236067967)

Help meee pleaseeeeeeeee

Answers

The first on and the last two ones are correct
the first and last one

How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal.  If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle,    A² + B² = C²

But  A = B  and  C = 24 .

2A² = (24)²

A² = (24)² / 2

But since  A=B,  A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 . 


45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.
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