X^2-6x=13
(x-3)^2-9=13
(x-3)^2=22
(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3
Answer:
k = 2/3 x
y = 2/3.
Step-by-step explanation:
y = kx where k is a constant
y = 2 when x = 3 so:
2 =k*3
k = 2/3.
The equation is y = 2/3 x.
When x = 1
y = 2/3 * 1 = 2/3.
Answer: 1/3
Step-by-step explanation:
The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12
Thats a 4/12 chance which simplifies to 1/3
Answer:
Area of ABCD = 45.1 cm²
Step-by-step explanation:
From the figure attached,
Area of ABCD = Area of ΔBCD + Area of ΔABD
Area of ΔABD =
sin(55°) =
sin(55°) =
AB = 10sin(55°)
AB = 8.19 cm
cos(55°) =
=
AD = 10cos(55°)
AD = 5.74cm
Area of ΔABD =
= 23.51 cm²
Area of ΔBCD =
=
tan(38°) =
BE =
Similarly, DE =
Since, BE + DE = 10 cm
CE(1.28 + 1.04) = 10
CE(2.32) = 10
CE = 4.31 cm
Area of ΔBCD =
= 21.55 cm²
Area of ABCD = Area of ΔBCD + Area of ΔABD
= 21.55 + 23.51
= 45.06
≈ 45.1 cm²