Answer:
linear and y = 2x + 19
Step-by-step explanation:
the x- values increment by 2 and the values of y increment by 4
This indicates a linear relationship exists in the form
y = mx + c ( m is the slope and c the y-intercept )
m =
=
= 2
y = 2x + c ← is the partial equation
to find c use any ordered pair from the table
using (- 5, 9 ), then
9 = - 10 + c ⇒ c = 9 + 10 = 19
y = 2x + 19 ← linear equation
As a check
x = - 7 : y = - 14 + 19 = 5 ← correct value of y
x = - 5 : y = - 10 + 19 = 9 ← correct value of y
x = - 3 : y = - 6 + 19 = 13 ← correct value of y
x = - 1 : y = - 2 + 19 = 17 ← correct value of y
I think it is. Dont take my word for it tho
Answer:
n = 6![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2n = 12
( divide both sides by 2 )
n = 6![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Answer:
27π cm²
Step-by-step explanation:
step 1
Find the area of the complete circle
The area of the circle is equal to
A=πr²
we have
r=9 cm
substitute
A=π(9)²=81π cm²
step 2
Remember that the area of complete circle subtends a central angle of 360°
so
using proportion
Find the area of a sector formed by a central angle that measures 120°
81π/360°=x/120°
x=120°*81π/360°
x=27π cm²