Which of these is a simplified form of the equation 9p + 3 = − p + 7 + 2p + 3p?

5p = 4

15p = 10

9 = 4

12 = 13

Option (a) is correct.

5p = 4

Step-by-step explanation:

Given : equation 9p + 3 = − p + 7 + 2p + 3p

We have to simplify the given equation 9p + 3 = − p + 7 + 2p + 3p.

Consider the given equation 9p + 3 = − p + 7 + 2p + 3p

Like terms are terms having same variable with same power.

Adding like terms, we get,

9p + 3 = 7 + 4p

Subtract 4p both isde, we have,

9p - 4p + 3 = 7 + 4p -4p

Simplify, we get,

5p + 3 = 7

Subtratc 3 both isde, we have,

5p = 4

Thus, option (a) is correct.

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²