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3 years ago

Solve this equations for all real solutions 3t^2+4t+8=-6t

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

Answer:

t= -1.33 recurring and -2

Step-by-step explanation:

3t²+4t+8=-6t

3t²+4t+6t+8

3t²+10t+8

This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.

-b±√(b²-4ac)/2a

Where a=3, b= 10 and c=8

-10±√(10²-4(3)(8))/2(3)

-10±√(100-96)/6

(-10±√4)/6

(-10±2)/6

-10+2/6 or -10-2/6

-8/6 or -12/6

-1.3333 recurring or -2

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Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Svetach [21]

Answer:

128°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$

6 0

1 year ago

Whould anyone mind helping please. The first box says 6.25x+12x=30.75 the second box says 6.25x+12=30.75 3rd box says 6.25x+30.7

Snowcat [4.5K]

Answer:

The correct equation is: 6x+12 = 30.75

And 3 people went to the movies

Step-by-step explanation:

We will write the equation to represent this scenario.

Let x be the number of people who went for movies.

Then the price of ticket for x people will be: 6.25x

They spent $12 on refreshments and a total of $30.75 so the equation will be:

$6.25x+12=30.75$

solving the equation will give us total number of people

So,

$6.25x+12 = 30.75\\6.25x = 30.75-12\\6.25x = 18.75\\\frac{6.25x}{6.25} =\frac{18.75}{6.25}\\x = 3$

Hence,

The correct equation is: 6x+12 = 30.75

And 3 people went to the movies

7 0

2 years ago

“There shall be a firm and perpetual Peace between his Brittanic Majesty and the said States… all Hostilities both by Sea and La

icang [17]

Answer:

Treaty of Paris (1783

Step-by-step explanation:

Some of the treaty key points are;

The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"

1) The acknowledgement of the United States as a sovereign state

2) The United States boundary establishment

3) The right to fish granted to the United States fishermen

4) Debt settlement of lawful contracts on either side

5) Prisoners of war are to be released

6) Protection of property of Loyalists by the United States.

4 0

3 years ago

Explain why a positive times a negative is a negative number.

prohojiy [21]

Explanation:

This can be explained by thinking numbers on the number line as:

Lets take we have to multiply a positive number (say, 2) with a negative number say (-3)

2×(-3)

Suppose someone is standing at 0 on the number line and to go to cover -3 , the person moves 3 units in the left hand side. Since, we have to compute for 2×(-3), The person has to cover the same distance twice. At last, he will be standing at -6, which is a negative number.

A image is shown below to represent the same.

Thus, a positive times a negative is a negative number.