The roots of a quadratic equation depends on the discriminant .
- If , the quadratic equation has two real distinct roots, and it crosses the x-axis twice.
- If , the quadratic equation has one real root, and it touches the x-axis.
- If , the quadratic equation has two complex roots, and it neither crosses nor touches the x-axis.
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A quadratic equation has the following format:
It's roots are:
Thus
They are given by:
The discriminant is .
- If it is positive, , and thus, the quadratic equation has two real distinct roots, and it crosses the x-axis twice.
- If it is zero, , and thus, it has one real root, and touching the x-axis.
- If it is negative, is a complex number, and thus, the roots will be complex and will not touch the x-axis.
A similar problem is given at brainly.com/question/19776811
Answer:
i got Angle K is congruent to itself , due to reflexive property
Step-by-step explanation:
it doesnt matter
The common denominator would be 15 since 5 times 3=15.
Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
Answer:
The surface area is
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
where
-----> the slant height
substitute the values