Answer:
Love vines!
Step-by-step explanation:
But vine left us while getting milk. And tick tock is like our step father that we've grew to love :)
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle =
= 51.43°
Now,
Central angle / 2 =
= 25.71°
And
height =
= 1.038
Now,
Inner area of gazebo = 7·
·1·(1.038) = 3.634 unit²
Outer area of gazebo = (
)²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
The problem is simply asking as to convert the measurement from the smaller scale to the actual scale. For this, we simply multiply the factor to the smaller measurement. We do as follows:
Length = 1 1/8 x 8 = 9 ft
Hope this helps.