Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
Step-by-step explanation:
a) D=(-1,5) E=(-3,1)
b) you do it by adding B coordinates with each other and C coordinates with each other then comparing how its related to D coordinates and E coordinates. B=2+6=8
C= -2-2= -4 D= -1+5= -4 E=-3+1= -2.
or tou can try another method which is knowing the length of each line.
Answer:
#1: $36.94
#2: 4.9 continuous
#3?
#4 $18
#5 64in squared
Step-by-step explanation:
#1 2x9.95+19.9
$19.90+$14.95=34.85
6% of 34.85=2.09
$34.85+$2.09=
$36.94
#4 8 yards = 24 feet
432/24=
18
#5 4x2=8
8x8=64
remember to make sure it is squared because it is area
5x + 2/2 = 2x - 1
2/2 is basically 1 so
5x + 1 = 2x - 1
isolate the variable
5x + 1 = 2x - 1
-1 -1
5x = 2x -2
-2x -2x
3x = -2
solve
3x/3=-2/3
x=-2/3
Answer:
x < -9 or x ≥ 6
Step-by-step explanation:
6 – x > 15 or 2x – 9 ≥ 3
Solve each inequality
6-x > 15
Subtract 6 from each side
6-x-6 > 15-6
-x > 9
Multiply by -1 remembering to flip the inequality
x < -9
Then the other inequality
2x – 9 ≥ 3
Add 9 to each side
2x -9+9≥ 3 +9
2x≥ 12
Divide by 2
2x/2 ≥ 12/2
x ≥ 6
Put back together
x < -9 or x ≥ 6
