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solniwko [45]
3 years ago
5

Which of the following are solutions to the equation below?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
Both A and C would be solutions to the equation.

In order to solve for this you must first get the equation equal to 0. 

2x^2+5x+8=6 ----> subtract 6 from both sides
2x^2 + 5x + 2 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c. 

a = 2 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 2 (because it is the end number)

Now we can plug these values into the quadratic equation. 

\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}

\frac{-5 +/- \sqrt{5^{2} - 4(2)(2) } }{2(2)}

\frac{-5 +/- \sqrt{9} }{4}

\frac{-5 +/- 3 }{4}

\frac{-5 + 3 }{4} or -1/2 for the first answer

\frac{-5 - 3 }{4} or -2 for the second answer

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A coordinate grid is placed over a college Station map. Tiger Stadium is located at (-3,2)
Olin [163]

Answer:

4.61\ units

Step-by-step explanation:

<em><u>The complete question is</u></em>

A coordinate grid is placed over a  College Station map.  Tiger Stadium is         located at (-3, 2) and Kyle Field is located at (4, 8).  If a shuttle bus stop is         at the midpoint between Tiger Field  and Kyle Field, which is the closest to         the distance in coordinate units from  Tiger Field to the shuttle bus stop?

<u><em>Options</em></u>

4.61 units

6.52 units  

9.22 units  

21.25 units

step 1

Find the midpoint between Tiger Field  and Kyle Field ( shuttle bus stop)

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have the points

(-3, 2) and (4, 8)

substitute in the formula

M=(\frac{-3+4}{2},\frac{2+8}{2})

M=(0.5,5)

step 2

Find the distance from  Tiger Field to the shuttle bus stop

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the points

(-3,2) and (0.5,5)

substitute in the formula

d=\sqrt{(5-2)^{2}+(0.5+3)^{2}}

d=\sqrt{(3)^{2}+(3.5)^{2}}

d=\sqrt{21.25}\ units

d=4.61\ units

6 0
3 years ago
Please help, thank you!!
gizmo_the_mogwai [7]

Answer:

the answer would be 2

Step-by-step explanation:

you'll get the answer by  dividing

6 0
2 years ago
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