Area of a triangle = 1/2 ab sinC
In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures
270=2b + a
420=2a + 3c (you have to use trial and error for this)
B = 120
A = 30
C = 120
Just to check
270 = (2x120) + 30
420 = (2x30) + (3x120)
Answer:
y = 2x - 1 is the required equation
Step-by-step explanation:
slope(m) = (3-7)/(2-4)
m = -4/(-2)
so, m = 2
Now,
y = mx + b
or, y = 2x + b
so, 3 = 2*2 + b
or, 3 = 4 + b
so, b = -1
equation would be y = 2x - 1
Answer:
(<u>fg)(x) = 12x³ + 12x²</u>
Step-by-step explanation:
Given f(x) = 3x + 6 and g(x) = 2x²
To find (fg)(x), we multiply g(x) with f(x)
(fg)(x)
(3x + 6) *( 2x²)
(3x) ( 2x²) + 6*2x²
6x³ + 12x²
hence (<u>fg)(x) = 6x³ + 12x²</u>