Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
Answer:
the last one is true
Step-by-step explanation:
sin R=PQ/PR=TS/TR
Y - 5 = -2x - 4
Add 5 on both sides.
y = -2x + 1
y = -2x + 1 is in simplest form.
Answer:
38.13 m^2
Step-by-step explanation:
the area of a triangle =b*h/2
b=base
h=height
area triangle=(4m*3m)/2=(12m^2)/2=6m^2
the area of a rectangle =b*h
b=base
h=height
area of a rectangle=6m*3m=18m^2
area of a semi circle=(pi*r^2)/2
r=radius
area of a semi circle==(3.14*(3m)^2)/2=14.13m^2
area of the figure=6m^2+18m^2+14.13m^2=38.13m^2
the answer is 38.13m^2
Since we are to express the given conditions as a joint variation, we employ the use of k as our constant proportionality which we will denote in this item as k.
From the sentence,
F = kM₁M₂/d²
as we can see those in the denominator as those that vary inversely to the given parameter.
