Step-by-step explanation:
let
(-7,-8) =(x1, y1)
and (-6,7)=(x2, y2)
by the formula
d=√(y2-y1) ²+(x2-x1) ²
=√(7+8)²+(-6+7)²
=√15²+1²
= √225+1
= √226
Answer:
48,58
Step-by-step explanation:
Let The speed of the west bound train be x
Let the east bound train be x+10
The speeds can be calculated as follows
2(2x+10)= 232
4x + 40= 232
4x= 232-40
4x= 192
x= 192/4
= 48
Hence the speedof the west bound train is 48
The speed of the east bound train is 48+10
= 58
Given side length "a" and angle "A", calculate the diagonals<span><span>
p = square root [( 2a^2 - 2a^2 cos(A) )]
</span>q = </span><span>square root [( 2a^2+ 2a^2 cos(A) )]</span>
http://www.calculatorsoup.com/calculators/geometry-plane/rhombus.php
side = 36
cos (32) = 0.84805
p = <span>small diagonal = </span>
<span>
<span>
<span>
19.8457652914
</span>
</span>
</span>
<span><span>
</span>
</span>
q =
large diagonal =
<span>
<span>
<span>
69.2108777578
</span>
</span>
</span>
Answer:
3y = 2x + 24
Step-by-step explanation:
The correct question is as follows;
Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3
Solution
Here, we have a point and a slope, and we want to write the equation of the line
The method we shall use here is the point slope method
Mathematically, that will be;
y-y1 = m(x-x1)
(x1,y1) = (6,12)
m = 2/3
y-12 = 2/3(x-6)
3(y-12) = 2(x-6)
3y-36 = 2x - 12
3y = 2x -12 + 36
3y = 2x + 24