Answer: For lines to be parallel, the slope has to be the same.
For lines to be perpendicular, the slope has to be the negative reciprocal. 4
x
+
2
y
=
7
2
y
=
−
4
x
+
7
y
=
−
2
x
+
7
/2
Compared to
: y
=
2
x
−
3
Step-by-step explanation: Just a good guess.
The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
429
Step-by-step explanation:
y=3+6×(n-1)
n=72
y=3+6×(72-1) = 429
Answer:
Step-by-step explanation:
Answer:
5 folders and 5 pens = yes
6 pens and 6 erasers = yes
1 pen and 4 notebooks = no
3 folders and 7 erasers = no
4 folders and 2 notebooks = yes
Step-by-step explanation:
Max total = $10
(5 folders x 1.29) + (5 pens x 0.70)
6.45 + 3.50 = 9.95
(6 pens x 0.70) + (6 erasers x 0.89)
4.20 + 5.34 = 9.54
(1 pen × 0.70) + (4 notebooks × 2.35)
0.70 + 9.40 = 10.10
(3 folders × 1.29) + (7 erasers × 0.89)
3.98 + 6.23 = 10.21
(4 folders × 1.29) + (2 notebooks × 2.35)
5.16 + 4.70 = 9.86
