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ryzh [129]
3 years ago
12

What are the solutions of 3x^2 + 14x + 16 = 0?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0
The solution is :
x= -8/3 , -2
Murrr4er [49]3 years ago
3 0

Answer:

The correct option is A) x = -8/3, –2.

Step-by-step explanation:

Consider the provided equation 3x^2 + 14x + 16 = 0

The above equation is in the form of ax^2 +bx + c = 0

The quadratic formula to find the root of the equation is:

{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }

By comparing the above equation with the general equation we can conclude that:

<em>a</em> = 3, <em>b</em> = 14, and <em>c</em> = 16

Substitute the respective values in the above formula:

{\displaystyle x={\frac {-14\pm {\sqrt {14^{2}-4(3)(16)}}}{2(3)}}\ \ }

{\displaystyle x={\frac {-14\pm {\sqrt {196-192}}}{6}}\ \ }

{\displaystyle x={\frac {-14\pm {\sqrt {4}}}{6}}\ \ }

{\displaystyle x={\frac {-14\pm2}{6}}\ \ }

{\displaystyle x={\frac {-14+2}{6}}\ \ } or\ {\displaystyle x={\frac {-14-2}{6}}\ \ }

{\displaystyle x={\frac {-12}{6}}\ \ } or\ {\displaystyle x={\frac {-16}{6}}\ \ }

{\displaystyle x=-2}\ \ } or\ {\displaystyle x={\frac {-8}{3}}\ \ }

Hence the solutions of the provided equation is {\displaystyle x=-2}\ \ } or\ {\displaystyle x={\frac {-8}{3}}\ \ }.

Thus, the correct option is A) x = -8/3, –2.

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The radius of the circle below intersects the unit circle at (Three-fifths, four-fifths). What is the approximate value of Theta
Fudgin [204]

The measured value of Theta is  53.1 degrees.

Given

The radius of the circle below intersects the unit circle at (3/5, 4/5).

<h3>What is tan theta?</h3>

The measure of the tan angle is defined as the ratio of perpendicular by the base.

The measure of the tan theta is;

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Where the value of x is 3/5 and y is 4/5.

Substitute all the values in the formula

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To know more about Trigonometric ratios click the link given below.

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Find the equation of the line using the point-slope formula. Write all the final equations
vivado [14]

Answer:

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Step-by-step explanation:

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Also you could just use \frac{y_2-y_1}{x_2-x_1}.  It is the same thing.

(  5  ,   5)

-(  1  ,   3)

--------------

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The point-slope form a line is

y-y_1=m(x-x_1) with a point on the line (x_1,y_1)=(1,3) given and with slope m=\frac{1}{2} given.

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We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form.  It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

y-3=\frac{1}{2}x-\frac{1}{2}

Add 3 on both sides:

y=\frac{1}{2}x-\frac{1}{2}+3

Simplify:

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4 0
3 years ago
Which statement illustrates the distributive property? <br> Please help
bogdanovich [222]
<span>It's letter C

Addition, you can have 6 + 107 = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
5 0
3 years ago
Read 2 more answers
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