Answer: Okay so find the area of the big shape.7x15=105Now find the area of the small one which is:5x13=65And now all you have to do is take away the area of the small box away from the big box. So...105-65=40... But remember to put in the right form which is cm but since we found the area of 2d shape it's going to be cm2. So.... 40cm2
Step-by-step explanation:
A. Sigma notation
The formula for finding the nth value of the geometric series
is given as:
an = a1 * r^n
Where,
an = nth value of the series
<span>a1 = 1st value in the geometric series = 940</span>
r = common ratio = 1/5
n = nth order
The sigma notation for the sum of this infinite geometric
series is therefore,
(see attached photo)
B. Sum of the infinite geometric series
The formula for calculating the sum of an infinite
geometric series is given as:
<span>S = a1 / (1 – r)</span>
Substituting the given values:
S = 940 / (1 – 1/5)
<span>S = 1,175</span>
Answer: (-6,-5)
Step-by-step explanation:
2x - 2y = -2 ............ equation 1
3x - y = -13 ................ equation 2
solving by substitution method
from equation 2 , make y the subject of the formula, we have
y = 3x + 13 .............. equation 3
substitute equation 3 into equation 1 , we have
2x - 2 (3x + 13 ) = -2
2x - 6x - 26 = -2
-4x - 26 = -2
-4x = -2 +26
-4x = 24
x = 24/-4
x = -6
substitute x = -6 into equation 3 to get the value of y , we have
y = 3(-6) + 13
y = -18 +13
y = -5