Answer:
honestly this is a very poorly worded question...
it can be interpreted in several different ways....
the cost of the house (for them to purchase it) was
$129,625 + $18,375 = $148,000
The total amount that they paid for the house (money spent)
was
$129,625 + $18,375 + $273,116 = $421,116
all being said I think that the $148,000 is the answer that the question
is trying for you to figure out
Step-by-step explanation:
9514 1404 393
Answer:
b = (-5, 2)
Step-by-step explanation:
b = 2m - a = 2(1, -1) -(7, -4) = (2-7, -2+4)
b = (-5, 2)
__
<em>About the formula</em>
The midpoint is given by the formula ...
m = (a+b)/2
Solving for b gives ...
b = 2m -a . . . as above
Prove we are to prove 4(coshx)^3 - 3(coshx) we are asked to prove 4(coshx)^3 - 3(coshx) to be equal to cosh 3x
= 4(e^x+e^(-x))^3/8 - 3(e^x+e^(-x))/2 = e^3x /2 +3e^x /2 + 3e^(-x) /2 + e^(-3x) /2 - 3(e^x+e^(-x))/2 = e^(3x) /2 + e^(-3x) /2 = cosh(3x) = LHS Since y = cosh x satisfies the equation if we replace the "2" with cosh3x, we require cosh 3x = 2 for the solution to work.
i.e. e^(3x)/2 + e^(-3x)/2 = 2
Setting e^(3x) = u, we have u^2 + 1 - 4u = 0
u = (4 + sqrt(12)) / 2 = 2 + sqrt(3), so x = ln((2+sqrt(3))/2) /3, Or u = (4 - sqrt(12)) / 2 = 2 - sqrt(3), so x = ln((2-sqrt(3))/2) /3,
Therefore, y = cosh x = e^(ln((2+sqrt(3))/2) /3) /2 + e^(-ln((2+sqrt(3))/2) /3) /2 = (2+sqrt(3))^(1/3) / 2 + (-2-sqrt(3))^(1/3) to be equ
= 4(e^x+e^(-x))^3/8 - 3(e^x+e^(-x))/2
= e^3x /2 +3e^x /2 + 3e^(-x) /2 + e^(-3x) /2 - 3(e^x+e^(-x))/2
= e^(3x) /2 + e^(-3x) /2
= cosh(3x)
= LHS
<span>Therefore, because y = cosh x satisfies the equation IF we replace the "2" with cosh3x, we require cosh 3x = 2 for the solution to work. </span>
i.e. e^(3x)/2 + e^(-3x)/2 = 2
Setting e^(3x) = u, we have u^2 + 1 - 4u = 0
u = (4 + sqrt(12)) / 2 = 2 + sqrt(3), so x = ln((2+sqrt(3))/2) /3,
Or u = (4 - sqrt(12)) / 2 = 2 - sqrt(3), so x = ln((2-sqrt(3))/2) /3,
Therefore, y = cosh x = e^(ln((2+sqrt(3))/2) /3) /2 + e^(-ln((2+sqrt(3))/2) /3) /2
= (2+sqrt(3))^(1/3) / 2 + (-2-sqrt(3))^(1/3)
Answer:
33.0
Step-by-step explanation:
Using the pythagoras theorem
tan theta = opposite/adjacent
tan 41 = x/38
x = 38tan41
x = 38(0.8693)
x = 33.03
Hence the value of x to nearest tenth is 33.0
The line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Four times the sum of 3.2 and a number is the number less than 1.4
Let the number be n.
It is given that the sum of 3.2 and number,
n + 3.2
Four times the sum, therefore,
4(n+3.2)
The total we got is the number less 1. 4. thus,
4(n+3.2) = n - 1.4
Hence, the line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
Learn more about Expression:
brainly.com/question/13947055
