MATHEMATICS HIGH SCHOOL

N^2-5n=3
Round to the nearest hundredth

Answers

Answer 1
Answer: Let's solve your equation step-by-step.n2−5n=3Step 1: Subtract 3 from both sides.n2−5n−3=3−3n2−5n−3=0Step 2: Use quadratic formula with a=1, b=-5, c=-3.n=−b±√b2−4ac2an=−(−5)±√(−5)2−4(1)(−3)2(1)n=5±√372n=52+12√37 or n=52+−12√37Answer:n=52+12√37 or n=52+−12√37

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Divide 7/15 by 3/5.
A. 75/21
B. 7/9
C. 7/25
D. 21/75

Answers

In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
                              = (7 * 5)/(15 * 3)
                               = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
                               = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.
If you would like to solve 7/15 / 3/5, you can calculate this using the following steps:

7/15 / 3/5 = 7/15 * 5/3 = 7/9

The correct result would be B. 7/9.

The famous irrational numbers

Answers

The most famous irrational number is pi because it pops up in so many different situations. Probably the next most famous one is 'e', the base of natural logarithms. The square root of 2 is also right up there.
Most famous would probably be pi because it goes on and on forever and it is most commonly used

Dayton is due north of Richmond, and Easton is 16 mi due east of Richmond. Dayton is 32 mi from Easton.How far apart are Dayton and Richmond? Round to the nearest tenth of a mile.


___ mi

Would you do 32^2-16^2 or 32^2+16^2

Answers

We need to use the Pythagorean Theorem, which states:

Hypotenuse^2 = (Leg_(1))^2 + (Leg_(2))^2

Look at the image I have attached.

Using what we know, we get:

32^2 = x^2 + 16^2\n\nx^2 = 32^2 - 16^2\n\nx^2 = 1024 - 256\n\nx^2 = 768\n\n\boxed{\bf{x=27.7~miles}}

You would have to do sqrt(32^2 - 16^2) to get the answer.

Your final answer is 27.7 miles.

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)
It is 32^2 - 16^2

Draw a triangle

Richmond is right above of Dayton (North). The distance between them is a side of  the right triangle. You do not know this distance , it is the unknown side.

Dayton is 16 mi to the east. It is the other side of the right triangle.

The other known length is the hypotenuse of the right triangle, which is the distance from Easton to Dayton. It is 32 mi.

As per Pythagorean theorem, (Side_1)^2 = (hypotenuse)^2 - (Side_2)^2

The sum of 2 positive numbers is 151 . The lesser number is 19 more than the square root of the greater number. What is the value of the greater number minus the lesser number? A. 19 B. 66 C. 85 D. 91 E. 121

Answers

Answer: E

Step-by-step explanation:

Can someone help me figure this out? The explanation gave me no idea on how to do this.

Answers

by solving both equations:
(x^4 + 5x^2 -36) = 0              (2x^2 +9x-5)=0
(x^2 -4) ( x^2 +9) = 0              (2x-1) ( x+5) = 0 
 (x-2) (x+2) (x^+9) = 0             (2x-1) (x+5) = 0
So from this w get : 
x = 2 , -2 
x= 1/2 
x = -5 
x= 3i , -3i 
and write them in the cells 

In an isosceles triangle , one angle measures 20 degrees. What are the measures of the other two angles.80 and 80 degrees
90 and 90 degrees
20 and 140 degrees
20 and 60 degrees

Answers

Answer:

Other two angles are 80 and 80 degrees

Step-by-step explanation:

In an isosceles triangle , one angle measures 20 degrees.

In an isosceles triangle two angles are equal

In a triangle , we have three angles

one angle is 20 degree. sum of angles in a triangle is 180 degree

other two angles is equal to 180 - 20 = 160

other two angles are of equal degree so we divide by 2

160/2= 80

Other two angles are 80 and 80 degrees
80+80=160+20=180

triangles should always equal 180
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