3 years ago

How any solutions for 9x+6y=3

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

Step-by-step explanation:

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the length of a rectangle is 2 cm less than five times the width. the area of the rectangle is 16 cm^2. find the length and widt

ahrayia [7]

<span>length = L
</span>width = w

L = (5w-2) cm

$w(5w-2)=16 \\ 5w^2-2w-16=0 \\ D=b^2-4ac=(-2)^2-4*5*(-16)=324 \\ w_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ w_1= \frac{2- \sqrt{324} }{2*5}= \frac{2-18}{10}=-1.6 \ \ \O \\ w_2= \frac{2+18}{10}=2 cm$

width = 2 cm
length = 5w-2 = 5*2-2 = 8 cm

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3 years ago

Complete the steps of the derivation of the quadratic formula step 1: (x+b/2a)^2-b^2-4ac/4a^2=0

CaHeK987 [17]

(x+b/2a)^2-(b^2-4ac)/2a=0
Step 2:
Re-write the expression:
(x+b/2a)^2=(b^2-4ac)/4a^2

Step 3:
get the square root of both sides:
x+b/2a=sqrt[(b^2-4ac)/4a^2]

Step 4:
Simplifying we get:
x+b/2a=sqrt[b^2-4ac]/2a

Step 5
Make x the subject:
x=-b/2a+/-sqrt[b^2-4ac]/2a

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timurjin [86]

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Step-by-step explanation: