Answer:
10
Step-by-step explanation:
We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.
The formula for Pythagoras Theorem =
c² = a² + b²
c = √a² + b²
Where c is the longest side
From the above diagram, we are looking for c
c = ?
a = 6
b = 8
Hence,
c = √6² + 8²
c = √36 + 64
c = √100
c = 10
Therefore, side c = 10
40 + 5x = y
X is how many weeks she saves
Y is the total savings after 12 weeks
Plug in 12 into the x
40+5(12) = y
40 + 60 = y
100 = y
She will have saved $100 after 12 weeks
Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
The value of x=1
Step-by-step explanation:
Given the equations as :
-2x + y= 8
5x - y= -5 ------adding the equations
---------------------
3x = 3 -------dividing both sides by 3
x = 1
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Simultaneous equations : brainly.com/question/12318095
Keywords : equations, system, value
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