The length of all the sides is same, if u want to write it as an expression, you can write it as any variable, x,y or z
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
y = 23
x = -4.5
Step-by-step explanation:
Given:
Equation
8x + y = -13 ......eq1
8x + 2y = 10........eq2
Find:
Solution
Computation:
Eq2 - Eq1
y = 23
From eq1
8x + y = -13
8x + 23 = -13
8x = -36
x = -4.5
Is there anything else to this question
Hello,
Let's suppose f(x)=3x+7
f(a-1)=3(a-1)+7=3a-3+7=3x+4
Answer B with a sign "++++++++++++++++++++++++++++"
