Given the equation 2y = 5x - 3:
A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.
A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.
B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.
C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.
D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.
E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.
Therefore, the correct answer is Option D: (3, 6).
<span> Slope = 1.000/2.000 = 0.500 x-intercept = 5/-1 = -5.00000<span> y-intercept = 5/2 = 2.50000</span></span>
6. Answer: B
Length of 1 side is 6
Perimeter is 6×6 = 36
5 times larger
Length of one side 6×5 = 30
Perimeter is the 30×6 = 180
180/36 = 5 Perimeter is 5 times greater
7. Answer: H
Find the whole number of squares in the shape given - 22 squares
22 × 10ft = 220 feet
8. Answer: F
((12-3)×3) + (4×3) = (9×3) + 12
= 27 + 12
= 39 ft^2
9. Answer: C
(9x^4-13x^3-x-7)+(7x^3-2x+1)=
9x^4-13x^3-x-7+7x^3-2x+1=
9x^4+(-13+7)x^3+(-1-2)x-7+1=
9x^4+(-6)x^3+(-3)x-6=
9x^4-6x^3-3x-6
Answer: Option <span>D.)9x^4−6x^3−3x−6</span>