Answer: part a.) c =2A/d
Part b.) d = 7
Part C The diagonals are each 8
Step-by-step explanation: part b:
35= 10d/2 70= 10d. 7 =d
Part c 32= 2c²
64 = c²
√64 = √c²
c = 8
You will have to take 3x common from both terms and your ans should look like this,
3x(9x^2-4)
Answer:
5
Step-by-step explanation:
5 158/559
= 5 + 158/559
= 5 + 0.28264758
= 5.28264758
= 5 (rounded to nearest whole number)
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).
Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the three consecutive even integers are represented by:
n, n + 2, n + 4
The first integer is two times the third, hence:
n = 2(n + 4)
2n + 8 = n
n = -8
Thus:
n = -8
n + 2 = -8 + 2 = -6
n + 4 = -8 + 4 = -4
The integers are -8, -6 and -4.
To learn more about system of equations, you can take a look at brainly.com/question/26650649
