Step-by-step explanation:
first collect terms, while the < remains unchange
<u>P</u><u> </u><u> </u>< 1-2
9
cross examine and get the answer
<u>P</u><u> </u>< <u>-</u><u>1</u>
9 1
<em>P</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em>
your answer will be 2 inch for the first piece 4 inch for the second piece 20 inch for the last piece
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117
Answer:
y = 1x - 3
Step-by-step explanation:
Note that the given line has slope +1.
Any line parallel to this line must also have slope +1.
Apply the slope-intercept form y = mx + b:
Inserting -3 for y, 0 for x and 1 for m, we get the y-intercept
-3 = 1(0) + b, which tells us that b = -3 and that the desired equation is
y = 1x - 3
Answer:
84 square units.
Step-by-step explanation:
<h2>Area of scalene triangle:</h2>

Here, a, b and c are the sides of the triangle. s is the semi perimeter.
a = 13
b = 14
c = 15

s -a = 21 - 13 = 8
s -b = 21 - 14 = 7
s - c = 21 - 15 = 6
