Answer:
the second one
Step-by-step explanation:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
Let's just choose "x" as our variable for the length of a side of the triangle.
Two sides of a triangle are equal in length and double the length of the shortest side.
A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x
The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.
x + 2x + 2x = 35
5x = 35
x = 7
So the smallest side is 7, and the other two sides are 14.
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)