Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
Answer:
x = 125
Step-by-step explanation:
4 hrs : 200 mi
2.5 hrs : x mi
4/2.5 = 1.6 hrs
200/1.6 = 125 mi
x = 125 mi
Answer:
72 dollars
Step-by-step explanation:
Rate rate is 
or 2.4 dollars per minute
2.4 x 30 = 72
Answer: A
Step-by-step explanation:
volume of a rectangular prism is l*w*h
the values for l,w, and h are given
l = 4 1/3, or 13/3
w = 3 1/3 or 10/3
h = 4
now multiply all three values together
13/3 * 10/3 * 4 = (13*10*4)/(3*3) =520/9
= 57 7/9
We know that
<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity
</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105
then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105
the answer is
cos (105°)
