N=55
A^2 + B^2 = C^2
48^2 + B^2 = 73^2
2304 + B^2 = 5329
-2304 -2304
B^2 = 3025
Sqrt B^2= sqrt 3025
B= 55
Answer:
x-intercepts: -2; 1; 5
Average rate of change: 1.8
Step-by-step explanation:
<u>x- intercepts as per graph are:</u>
<u>Average rate of change over the interval (-1, 4) is:</u>
- Δy/Δx = (y(4) - y(-1))/(4 - (-1)) = (3 - (-6))/5 = 9/5 = 1.8
<h3>Geometric Sequence: a(r)ⁿ⁻¹</h3>
1) a₁ = 2, r = 3
a) First five terms: 2, 6, 18, 54, 162
b) nth term: 2(3)ⁿ⁻¹
c) The 10th term: 2(3)¹⁰⁻¹ = 39366
2) a₁ = 243, r = 1/3
a) First five terms: 243, 81, 27, 9, 3
b) nth term: 243(1/3)ⁿ⁻¹
c) The 10th term: 1/81
3) a₁ = 6, r = 2
a) First five terms: 6, 12, 24, 48, 96
b) nth term: 6(2)ⁿ⁻¹
c) The 10th term: 3072
4) a₁ = 5, r = -1/10
a) First five terms: 5, -1/2, 1/20, -1/200, 1/2000
b) nth term: 5(-1/10)ⁿ⁻¹
c) The 10th term: -5 × 10⁻⁹
Answer:
35 cm.
Step-by-step explanation:
Let x% of 2 metres is 35 cm.
Then
100
200x
=35 [Since 2 m = 200 cm]
or, x = 17.5
So 17.5% of 2 metres is 35 cm.
Answer:
She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )
Step-by-step explanation:
( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21
( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21