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sp2606 [1]
3 years ago
11

What is the maximum answer of the equation

20%3D%200" id="TexFormula1" title="6 {x}^{2} + 11x + 3 = 0" alt="6 {x}^{2} + 11x + 3 = 0" align="absmiddle" class="latex-formula">
?​
Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

-(1/3)

Step-by-step explanation:

6x² + 11x + 3 = 0

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4*6*3}}{2*6\\}\\x_{1} = -\frac{1}{3} \\\\x_{2} = -\frac{3}{2} \\\\-\frac{1}{3} >-\frac{3}{2}

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Bonus: In Triangle STP, the measure of <T is twice the measure of <S and the
olganol [36]

Answer:

m∠S=30°

m∠T=60°

m∠P=90°

Step-by-step explanation:

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In the triangle STP

m∠S+m∠T+m∠P=180° ----> equation A

m∠T=2(m∠S) ----> equation B

m∠P=3(m∠S) ----> equation C

Solve the system of equations by substitution

Substitute equation B and equation C in equation A

m∠S+2(m∠S)+3(m∠S)=180°

Solve for m∠S

6m∠S=180°

m∠S=30°

<em>Find m∠T</em>

m∠T=2(m∠S)

m∠T=2(30°)=60°

<em>Find m∠P</em>

m∠P=3(m∠S)

m∠P=3(30°)=90°

3 0
3 years ago
Hey guys stuck on three questions, can you help out a bit? Thanks!
alexandr1967 [171]

Answer:

D

Step-by-step explanation:

Because the numbers do not comply with the like 11+6+18+21= no answer and multiplying them all didn't matter either so its none of the above

7 0
3 years ago
Given that a = 10cm and b = 27cm work out theta rounded to one decimal place?
klemol [59]

Answer:

28.8

Step-by-step explanation:

A squared plus b squared equals c squared.

3 0
3 years ago
Can someone explain how you would write this in a equation?
Rom4ik [11]
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3 years ago
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Square pyramid is the answer to your question
6 0
2 years ago
Read 2 more answers
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