MATHEMATICS HIGH SCHOOL

Solve for x
logx+log(x-4)=2log5

Answers

Answer 1
Answer: \log{x} + \log{(x-4)} = 2 \log{5}\n\n\log{\big(x(x-4)\big)} = \log{5^2}\n\n\log{(x^2-4x)} = \log{25} \n\nx^2-4x = 25\n\nx^2-4x-25=0 \n\nx = (4 \pm√(16+100))/(2) \n\nx = (4\pm2√(29))/(2) \n\nx = 2 \pm √(29) \n\n\text{But } x > 0 \implies x = 2 + √(29)
Answer 2
Answer: D:x>0\wedge x>4\nD:x>4\n\n\log x+\log(x-4)=2\log5\n\log x(x-4)=\log25\nx(x-4)=25\nx^2-4x-25=0\nx^2-4x+4-29=0\n(x-2)^2=29\nx-2=√(29) \vee x-2=-√(29)\nx=2+√(29) \vee x=2-√(29)\n2-√(29)\not>4\n\Downarrow\n\boxed{x=2+√(49)}

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Hey please help me dude I cant do this anymore. My brain is not functioning anymore.

Answers

Answer:

Step-by-step explanation:

ms+mv=r --> m(s+v)=r --> m= r/(s+v)

Answer:

Step-by-step explanation:

r=−mv, s

=0, M=−

s

mv

​

, m∈R, v∈R

r=0, s=0, M∈R, m=0, v∈R

r=0, s=0, M∈R, m∈R, v=0

Which angle measure below is not a possible measure of an exterior angle of a regular polygon?45°
36°
40°
54°

Answers

All exterior angles of a regular polygon would equal 360 degrees. SO... based on that, one exterior angle would have to multiplied by whatever sum (whole number) to equal 360 degrees to find the number of sides. Here you divide 360 by one of the exterior angles, if it does not equal a whole number then it would be inaccurate.
In this case only 54 degrees would not fit into one of the exterior angles.

Evaluate m0 - n2 for m = 2 and n = -1.

Answers

Given:

m = 2 & n = -1

so, m0 - n2

= 2*0 - (-1)*2

= 0 - (-2)

= 0 + 2

= 2

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

What is variable?

A variable is a symbolic name for (or reference to) information. The variable's name represents what information the variable contains. They are called variables because the represented information can change but the operations on the variable remain the same.

Learn more about Algebra & Variables here

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this is simply a plug n' chug method. you plug in the values and solve

m=2
n= -1

(2)0 - (-1)2 (Plug)
0 - (-2) (solve)
0+2 (simplify)
2 (answer)

HELP AND I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Alana is 4 years older than her brother Ernie. Ernie is 2 years older than their sister Amelia. Amelia is 10 years younger than their brother Mazo. If Mazo is 17 years old, how old is Alana?

Answers

if mazo is 17, and amelia is 10 years younger, than she is 7. ( 17-10=7)  if ernie is 2 years older than amelia, than ernie is 9. (7+2=9) if alana is 4 years older than ernie, alana is 13. (4+9=13)

How many revolution will a car wheel of diameter 30in make as the car travels a distance of one mile.

Answers

Circumference = (pi) x (diameter) = 30 pi inches.

1 foot = 12 inches
1 mile = 5,280 feet = 63,360 inches

Number of revolutions in 1 mile = (63,360) / (30 pi) = 672.27... revs (rounded)
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