MATHEMATICS HIGH SCHOOL

Somebody please help !!

Answers

Answer 1

Answer:

Answer:

A'(6,8)

B'(6,2)

C'(2,2)

Step-by-step explanation:

You can find the vertices by finding the X and Y coordinates in the plane, after rotating it 180 degrees.

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Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1).

Answers

The value of f(-1) is -6

what is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given:

f(x) = 12/ (4x +2)

for x=-1

then,

f(-1) = 12/ ( 4(-1) + 2)

f(-1) = 12/ (-4 + 2)

f(-1) = 12/(-2)

f(-1) = -12/2

f(-1) = -6

Hence, the value of f(-1) is -6

Learn more about function here:

brainly.com/question/23712366

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f(x)= 12 / (4x+2 )
f(-1) mean to replace x by (-1)
so, f(-1) = 12 /(-4+2)
f(-1)= 12/-2
f(-1) = -6

M(–3, –1) is the midpoint of . If S has coordinates (4, 6), what are the coordinates of R?

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It would be (-10,-8)

Identify whether these series are divergent or convergent geometric series and find the sum, if possible.

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A geometric series:
$\sum^(\infty)_(i=1)=a_1 * r^(i-1)$
It's convergent if |r|<1.
It's divergent if |r|≥1.
The sum can be found if it's a convergent series; it's equal to $(a_1)/(1-r)$ .

3.
$\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1) \n \na_1=12 \nr=(3)/(5) \n \n|r|<1 \hbox{ so it's convergent} \n \n\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1)=(12)/(1-(3)/(5))=(12)/((5)/(5)-(3)/(5))=(12)/((2)/(5))=12 * (5)/(2)=6 * 5=30$

The answer is: This is a convergent geometric series. The sum is 30.

4.
$\sum^(\infty)_(i=1) 15(4)^(i-1) \n \n a_1=15 \n r=4 \n \n |r| \geq 1 \hbox{ so it's divergent}$

The answer is: This is a divergent geometric series. The sum cannot be found.

Factorization of 1260

Answers

The prime factorization of a number is when you break it down into the very basic prime numbers that, when multiplied together, will equal that final number.
Right off the bat, we can see that 1260 is an even number, so we will start by dividing by 2, since all even numbers are divisible by 2

1260 / 2 = 630

Again, the number is obviously divisible by 2, so we will do it again

630 / 2 = 315

315 is not divisible by 2, so let us check if it is divisible by 3.
A proven way to do this is to add the individual numbers in the bigger number, and if that number is divisible by 3, then the bigger number is also divisible by 3.

3 + 1 + 5 = 9

9 is divisible by 3, so we know that 315 is also divisible by 3.

315 / 3 = 105

If any number (except 0) ends with a 5 or a 0, then it is divisible by 5.

105 / 5 = 21

21 is again divisible by 3

21 / 3 = 7

So there are our prime factor numbers.

The prime factorization of 1260 is as follows:

2 * 2 * 3 * 3 * 5 * 7

Hope that helped =)

What is the length of side s of the square shown below?