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Gelneren [198K]
2 years ago
10

Please help !!! I’m stuck

Mathematics
1 answer:
Kruka [31]2 years ago
4 0

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

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Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant b^2-4ac applies to quadratic equations when they are organised in standard form: ax^2+bx+c=0.

All quadratic equations can be solved with the quadratic formula: x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}.

When b^2-4ac is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

<u />3x^2+5x=-1<u />

We're given the above equation. It hasn't been organised completely in ax^2+bx+c=0, but we can change that by adding 1 to both sides to make the right side equal to 0:

3x^2+5x+1=0<u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0
3 years ago
If I have been on the computer since 4:14pm and I finished at 6:29pm how long have I been on the computer?
asambeis [7]
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John buys a billiard table from a nearby store. The width of the table is 38 inches. What is the
sergij07 [2.7K]

Answer:

76 inches

Step-by-step explanation:

38 multiplied by 2 is 72... since the width(38) is half the length

8 0
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fredd [130]
Y= -2.5
the midline is basically the line where the distance is the same to the line from the max and the min 
7 0
3 years ago
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Solve the equation d − 5 9 = 3 9
Allushta [10]

Answer:

D = 98

Step-by-step explanation:

if you add up 59 + 39 you get 98 meaning D is 98

4 0
3 years ago
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