9514 1404 393
Answer:
y +3 = 1/2(x +4)
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The point-slope form of the equation for a line is ...
y -y1 = m(x -x1)
Filling in the known values, this is ...
y -(-3) = 1/2(x -(-4))
y +3 = 1/2(x +4)
Answer:
x=2 , y = 1
Step-by-step explanation:
x + 2(2x-3) = 4
x+4x-6=4
5x-6=4
5x= 10
x=10/5
x=2
subs x=2 into x +2y=4
2+2y=4
2y=2
y=2/2
y=1
Answer:
S= 5, L= 12
Step-by-step explanation:
To find the value of L and S, we need to first label the 2 equations.
L +S= 17 -----(1)
3L +2S= 46 -----(2)
From (1):
L= 17 -S -----(3) <em>(</em><em>-S</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
Subst. (3) into (2):
3(17-S) +2S= 46
3(17) -3S +2S= 46 <em> </em><em>(</em><em>expand</em><em>)</em>
51 -S= 46
-S= 46 -51 <em>(</em><em>-51</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
-S= -5
S= 5 <em>(</em><em>divide</em><em> </em><em>by</em><em> </em><em>-1</em><em> </em><em>throughout</em><em>)</em>
Subst. S=5 into (3):
L= 17 -5
L= 12
The answer is 81 blue cars and
54 red ones
Comment
If you can assume That COA has 3 point on the same straight line and that BOE are three points on the same straight line then <AOE = <COB because they are vertically opposite.
Step One
Find angle BOA
<BOC + <COD + <DOE + <EOA + BOA = 360o Substitute values for angles
57 + 95 + 28 + 57 + BOA = 360 Add the left side
237 + <BOA= 360 Subtract 237
<BOA = 360 - 237
<BOA = 123
Step Two
Determine Arc BDA
These angles are all central angles. They will add to the desired arc.
BDA + BOA = 360
BDA + 123 = 360 Subtract 123 from both sides.
BDA = 360 - 123
BDA = 237 <<<<<<<<<<<< Answer