MATHEMATICS HIGH SCHOOL

'Solve using perfect square factoring patterns.
x^2 – 12x + 36 = 4'

Answers

Answer 1
Answer: x^2-12x + 36 = 4 \n \nx^2-12x + 36 - 4 =0\n \nx^2-12x + 32 =0 \n \na=1 , \ b=-12, \ c =32\n \n \Delta =b^2-4ac = (-12)^2 -4\cdot1\cdot 32 = 144-128 =16\n \nx_(1)=(-b-√(\Delta) )/(2a)=(12-√(16))/(2 )=( 12-4)/(2)=(8)/(2)= 4

x_(2)=(-b+√(\Delta) )/(2a)=(12+√(16))/(2 )=( 12+4)/(2)=(16)/(2)= 8

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How can i evaluate (-7/10+0.15)÷(-0.125) please help

Answers

You can evaluate his by first converting -7/10 into a decimal which would be -0.7 From there, you add -0.7 and 0.15 and divide that by -0.125.
First change all fractions into decimals. Then you PEMDAS to solve. PEMDAS is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.So you add the two decimals together and divide it by the other decimal. 

A rectangular stage set up in a theater has an area of (15x^2+3x-12) square feet. Factor the polynomial completely.

Answers

15x²+3x-12
=3(5x²+x-4)
=3(x²+x-20)
=3(x+5)(x-4)
=3(5x+5)(5x-4)
=3(x+1)(5x-4)

How to solve this problem?

Answers

the exact answer is 336

4v = 20
Help please

Answers

Answer:

v=5

Step-by-step explanation:

you are trying to make 4v into v right ?

so simply divide it by 4 - the same if it was 4a or 7a or 9k, always start by dividing by the number

then you need to balance the two sides - so whatever number you divide the letter by (which is the 4 in this case) , you do the same with the other side , so whatever number is after the equal sign , divide it by 4

PART ONE                                      ↓ 4v  =   20  

           DIVIDE BY 4                       →  v   =    20

PART TWO                                          v   =   20 ↓

                                                            v   =     5 ←           DIVIDE BY 4

An arithmetic sequence is given below.-4, -10, -16, -22, ...
write an explicit formula for the Nth term aN.

Answers

Answer:

an​=−6n+2

Step-by-step explanation:

First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.

Next, you need to use the standard explicit formula for an arithmetic sequence, which is:

an​=a1​+d(n−1)

where an​ is the Nth term, a1​ is the first term, d is the common difference, and n is any term number.

Finally, you need to substitute the values of a1​ and d that you found in the first step into the formula. This gives:

an​=−4+(−6)(n−1)

This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:

an​=−4−6n+6

an​=−6n+2

The perimeter of a regular heptagon with each side 4.5 cm is ____

Answers

Answer:

31.5 cm

Step-by-step explanation:

Heptagon = 7 sides

4.5 x 7 = 31.5

Hope this helps!

If it is correct, please give me brainliest :)

Answer:

31.5cm

Step-by-step explanation:

7x4.5 is 31.5
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