Let
x-------------> t<span>he width of each postcard
y-------------> the </span>the length of each postcard
we know that
A=12 in²
A=x*y-------> 12=x*y-------> equation 1
y=x+4-----> equation 2
<span>I substitute 2 in 1
</span>12=x*y----------> 12=x*[x+4]------> 12=x²+4x------> x²+4x-12=0
x²+4x-12=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=-6----> is not solution
x=2 in
y=x+4----> y=2+4-----> y=6 in
the answer isthe length of each postcard is 6 inthe width of each postcard is 2 in
By answering the question and reading the question
For this case we can use the Pythagorean theorem to solve the problem.
We have then for the following complex number:
![-3 + 4i ](https://tex.z-dn.net/?f=-3%20%2B%204i%0A)
Using the Pythagorean theorem:
![\sqrt{(-3)^2+(4)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28-3%29%5E2%2B%284%29%5E2%7D%20)
Rewriting we have:
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i
Answer:
a. 75°
Step-by-step explanation:
Answer:
larger number=29;smaller number=18
Step-by-step explanation:
let assume the two numbers are X and Y
where X is the larger number and Y is the smaller number.
From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;
X=2Y - 7→→→→→→ equation 1
Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;
X + Y = 47→→→→→→ equation 2
Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.
collecting like terms we have
2Y + Y = 47 + 7
solving arithmetically we have;
3Y = 54
divide both sides by 3 we have;
Y = 18.
Now if you recall from equation 1;
X = 2Y - 7;
since we now know Y as 18 we substitute Y as 18 in equation one then we have;
X = 2(18) - 7;
X =36 - 7
X = 29.