Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
<u>-( 4x−18y=54)</u>
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Answer:
75°
Step-by-step explanation:
There are 180° in a triangle, so using the ratios and the 180° setup an equation. Solve for x.
5x + 9x + 10x = 180
24x = 180
24x/24 = 180/24
x = 7.5
To find the largest angle measure, use 10x since 10 is bigger than 5 and 9.
10x
10(7.5)
75°
Answer:
A
Step-by-step explanation:
Becuase It expands the (2+4)8=2*8+8*4=6*8=48
Answer:
320 miles
Step-by-step explanation:
c=178
subtract the base fee of 50 from c- you get 128
Divide 128 by the 0.40 rate to get m by itself
m then equals 320