MATHEMATICS HIGH SCHOOL

MATH HELP MIDPOINT…..

Answers

Answer 1

Answer:

Answer:

U (1, 16 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ), then the midpoint M is

M = ( $(x_(1)+x_(2) )/(2)$ , $(y_(1)+y_(2) )/(2)$ ) ← midpoint formula

let (x₁, x₂ ) = U (x, y ) and (x₂, y₂ ) = V (13, 8 )

substitute these values into the midpoint formula and equate to the corresponding coordinates of M (7, 12 )

$(x+13)/(2)$ = 7 ( multiply both sides by 2 )

x + 13 = 2 × 7 = 14 ( subtract 13 from both sides )

x = 1

and

$(y+8)/(2)$ = 12 ( multiply both sides by 2 )

y + 8 = 2 × 12 = 24 ( subtract 8 from both sides )

y = 16

coordinates of U = (1, 16 )

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Answers

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What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x plus 4, all over the quantity of x plus 3?

Answers

Answer: $(4x^2+24x+31)/(3x^2+13x+12)$

Step-by-step explanation:

Since the given expression ,

$(x+5)/(3x+4) + (x+4)/(x+3)$

= $((x+5)(x+3)+(x+4)(3x+4))/((3x+4)(x+3))$ ( by taking the LCM for solving the fraction)

= $(x^2+5x+3x+15+3x^2+12x+4x+16)/(3x^2+9x+4x+12)$ ( By multiplying)

= $(x^2+8x+15+3x^2+16x+16)/(3x^2+13x+12)$

= $(4x^2+24x+31)/(3x^2+13x+12)$ ( by adding the like terms)

$(x + 5)/(3x + 4) + (x + 4)/(x + 3) = ((x + 5)(x + 3))/((3x + 4)(x + 3)) + ((x + 4)(3x + 4))/((3x + 4)(x + 3)) = (x(x + 3) + 5(x + 3))/((3x(x + 3) + 4(x + 3)) + (x(3x + 4) + 4(3x + 4))/(3x(x + 3) + 4(x + 3)) = (x(x) + x(3) + 5(x) + 5(3))/(3x(x) + 3x(3) + 4(x) + 4(3)) + (x(3x) + x(4) + 4(3x) + 4(4))/(3x(x) + 3x(3) + 4(x) + 4(3)) = (x^(2) + 3x + 5x + 15)/(3x^(2) + 9x + 4x + 12) + (3x^(2) + 4x + 12x + 16)/(3x^(2) + 9x + 4x + 12) = (x^(2) + 8x + 15)/(3x^(2) + 13x + 12) + (3x^(2) + 16x + 16)/(3x^(2) + 13x + 12) = ((x^(2) + 8x + 15) + (3x^(2) + 16x + 16))/(3x^(2) + 13x + 12) = ((x^(2) + 3x^(2)) + (8x + 16x) + (15 + 16))/(3x^(2) + 13x + 12) = (4x^(2) + 24x + 31)/(3x^(2) + 13x + 12)$

Milli plans to rent a room for her birthday party for $40. The catering charge is $12 per person but there is no charge for Milli's meal since she is the guest of honor. If Milli has $100 to spend on her birthday party, how many guests can she invite?

Answers

Since Milli has $100 to spend on her birthday party and she will pay $40 so the remaining money left for her party is $60. For the $60 left she will then pay $12 for each guest for catering. Divide $60 by $12, the answer is 5. Therefore Milli will have 5 guests for her birthday.

Answer:

Step-by-step explanation:

proof in the picture.

Solve by factoring.. m^2 + 8m + 7 = 0

Answers

In order to solve an equation by factoring, it should be that the equation is equal to zero.
m^2 + 8m + 7 = 0
For this case we have, to do completing the square in order to factor this equation.

m^2 + 8m = -7
m^2 + 8m + 16 = -7 +16
(m+4) (m+4) = 9
(m+4)^2 = 9

Take the square root of both sides,
m+4 = 3
m = -1

Why would a money market account require a minimum balance?

Answers

Money market requires a minimum balance because the money is treated as part of your investment wherein it yields higher interest income that the basic saving account. The minimum balance is the one that is use by the bank for loans and lending it to borrowers.

Solve For a please and thanks

Answers

I hope this helps you