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3 years ago

Two of the steps in the derivation of the quadratic formula are shown below.

Mathematics

2 answers:

Helen [10]3 years ago

7 0

Answer:

taking the square root of both sides of the equation

Step-by-step explanation:

I didnt do it sorry

icang [17]3 years ago

7 0

Answer:

the right answer is: taking the square root of both sides of the equation

Step-by-step explanation:

You might be interested in

Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

3 years ago

lorasvet [3.4K]

Answer:

Step-by-step explanation:

Bill's answer is wrong because timesing 150 by 1.3 is increasing the number by 30%, not 3%

If he wanted to use this method, he would have ti times 150 by 1.03

3 0

3 years ago

Read 2 more answers

5(12-4)=5(12)-5(4) what is this property

kherson [118]

Answer:

distributive property

Step-by-step explanation:

The distributive property is described as

a(b + c) = ab + ac

5(12 - 4) = 5(12) - 5(4) ← is obtained using the distributive property

6 0

2 years ago

Simplify the following; 8v + w + 7 - 8v + 2w 4c² + 6c - 3c² - 2c - 3 Thanks!

Dominik [7]

Answer:

3w+7

c^2 + 4c - 3

Step-by-step explanation:

8v+w+7-8v+2w

8v-8v +w+2w +7

0+3w+7

3w+7

4c^2+6c-3c^2-2c-3

4c^2-3c^2 + 6c-2c -3

c^2+4c-3

3 0

3 years ago

Natalie has 300 cookies for a bake sale. She makes 8 more batches with 12 cookies in each batch. She sells 6 bags of cookies wit

vitfil [10]

Answer:

I would say it's not reasonable. the answer would be the first one

Step-by-step explanation:

6 0

2 years ago