We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
9
is the correct answer when multiplying exponents with the same base, you keep the base add the exponents.
This can be
solved by solving the slope of the line. First let y be the rating of the test
and x be the number of incorrect answers. Slope can be solved using the formula:
M = ( y2 –
y1 ) / ( x2 – x1)
M = ( 90 –
98) / ( 5 -1 )
M = -2
<span>So the model
has a negative slope</span>
Find the solutions to the system; y=x^2-3x-1 and y=8x-1