PLEASE HELP 100 POINTS
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The solutions of the equations are -1.3 and -7.7
Step-by-step explanation:
The quadratic formula of solving the quadratic equation
ax² + bx + c = 0, where a, b and c are constant is:
To solve the quadratic equation by using the quadratic formula
1. Find the values of a , b and c from the equation
2. Substitute the values of a , b and c in the quadratic formula
3. Find the two values of x
∵ x² + 9x + 10 = 0
∴ a = 1 , b = 9 and c = 10
∵
∴
∴
∴ x = -1.3
∵
∴
∴
∴ x = -7.7
The solutions of the equations are -1.3 and -7.7
Learn more:
You can learn more about quadratic equation in brainly.com/question/8196933
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The answer is 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.