Answer:
3x + 9 + 4x + x = 8x + 9
Step-by-step explanation:
combine like terms
The area is (27 x 3) + (15 x 7) = 186
Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
If Michael is bike riding at a speed of 4 miles an hour you would multiply 4 miles by the hour
So it would be x times y
0x4=0
1x4=4
2x4=8
3x4=12
4x4=16
5x4=20
9x4=36
1/2x4=2
Answer:
2X-3Y = -1
Step-by-step explanation:
given equation is 3X +2Y = -7
FIRST BRING THIS IN SLOPE INTERCEPT FORM
2Y = -3X -7
DIVIDING EACH TERM BY 2
Y = (-3/2)X -7/2
SLOPE OF GIVEN EQUATION IS -3/2
SLOPE OF LINE PERPENDICULAR TO THIS IS NEGATIVE RECIPROCAL HENCE SLOPE OF REQUIRED EQUATION IS 2/3
EQUATION OF STRAIGHT LINE IN POINT SLOPE FORM IS
Y-Y1 = m(X-X1)
Y-1 = (2/3)(X-1)
MULTIPLYING ALL TERMS BY 3
3(Y-1) = 2(X-1)
3Y-3 = 2X -2
2X-2 = 3Y-3
2X-3Y =-3+2
2X-3Y = -1
