Answer is Provided in the image attached.
This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplifie
d form in the box.
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = , thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² +
x + 4 - 1
= x² +
x + 3 ← in standard form
Answer:
318
Step-by-step explanation:
318 is the required answer
I hope it helped you
So given Figure we need to find total surface area
=Area(ABCD)+Area(BCRQ)+Area(QRSP)+Area(ADSP)+Area(ABQP)+Area(DCRS)
=(AB×BC)+(BC×CR)+(QR×RS)+(AD×DS)+(AB×BQ)+(DC×CR)
From figure,
AB=DC=PQ=SR=9 cm
BQ=CR=AP=DS=11 cm
BC=AD=QR=SP=3 cm
On substituting these values We get
Surface Area=(9×3)+(3×11)+(9×3)+(11×3)+(9×11)+(9×11)
=27+33+27+33+99+99=318
I hope it helped you
