Answer:
x=5/2
Step-by-step explanation:
1. 13=6x-2 (add 2 to each side)
2.15=6x (divide each side by 6)
3.15/6=x (simplify the fraction by dividing by 3)
4.5/2=x (answer)
Answer:
= - 21
+ 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
(a
) = na
Given
y = - 3
+ 2x³ + x , then
= (7 × - 3 )
+ (3 × 2)x² + (1 × 1 )
= - 21
+ 6x² + 1
Answer:
Step-by-step explanation:
P1 = (2000, 1000) in the form (x1,y1)
P2 = (2012, 3400) in the form (x2,y2)
m = (y2-y1 / x2-x1)
m = ( 3400-1000 ) / (2012 - 2000)
m = 2400 / 12
m = 200
y = 200x + 800
The blank is equal to 3/14
Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.