Answer:
Ellipses (special case is called a circle), hyperbolas, parabolas.
Step-by-step explanation:
These are all conic sections.
A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.
The illustration below gives more insight into the question.
I hope this helps.
5 and 8
Step-by-step explanation:
area= base x altura= 5x8=40
perimetro= base+base+altura+altura = 5+5+8+8=26
Answer:
<h3>1/4 and -1</h3>
Step-by-step explanation:
For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.
Discriminant D = b² - 4ac = 0
Given the equation
x^2 − 2(2k + 1)x + (k + 2) = 0
From the equation, a = 1, b = -2(2k+1), c = k+2
a = 1, b = -4k - 2, c = k+2
Substitute into the discriminant formula;
Recall that: b² - 4ac = 0
(-4k - 2)²-4(1)(k+2) = 0
16k²+16k + 4 - 4k - 8 =0
16k²+12k - 4 = 0
16k²+16k - 4k - 4 = 0
16k(k+1)-4(k+1) = 0
16k - 4 = 0 and k+1 = 0
16k = 4 and k = -1
k = 4/16 and k = -1
k = 1/4 and -1
<em>Hence the required value of k is 1/4 and -1</em>
2/3x - 11 = x + 4
2/3x - x = 4 + 11
2/3x - 3/3x = 15
-1/3x = 15
x = 15 * -3
x = -45 <== ur number
Answer:
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