MATHEMATICS HIGH SCHOOL

I will upvoteWhat is the 12th term in the sequence?

Note: Use the explicit rule.

a_n=−16+2n

Enter your answer in the box.
a_12=

Answers

Answer 1
Answer: easy, sub 12 for n
a12=-16+2(12)
a12=-16+24
a12=8

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If f(x) = 5x 40, what is f(x) when x = –5?

Answers

5(-5)(40)=f(x) you just multiply everything together, so you would get -25*40, which is -1000

f(x)=5x*40 so we know that x=5 so f(5)=(5*5)40 so we have f(5)=25*40 and 25*40= 1000 so 1000/5=f and f is 200

Write 720 as a product of its prime factors

Answers

Prime factors are natural numbers that has no divisors except 1 and itself as 2,3,5,7 and many many more
so, you need to use this numbers to do a prime factorization.
So, the prime factorization of 720 is 2^4 * 3^2 * 5
Hope this Helps :D
720 = 2^4 * 3² * 5
does this help 

What is 5 and 1/2 divided by 1/2 step by step ?? It would mean a lot!

Answers

Answer:

11

Step-by-step explanation:

Use a calculator. Punch in 5.5, then use the divide symbol (÷) and finally put in 0.5, then you will get 11 as your final answer.

Hope this helps!

Explain how slope is used to determine if a triangle is a right triangle.

Answers

A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.
Do determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals. 

You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle. 

Let's say there's triangle ABC. 

If the slope of AB is 1/2
and the slope of BC is 2/5
and the slope of CA is -2/1
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The length of a rectangle is 2 more than twice the width. The perimeter is 76 feet. Find the length and width of the rectangle.

Answers

so we can set x= width
2x+2 = length
so 2(x)+2(2x+2)= 76
so that will give us 2x+4x+4=76
6x=72
x=12
so 12 is width and 26 is length

Which angles are alternate interior angles?

Answers

Answer:

THE ANSWER IS

<UTW and <XWY

THANKU

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