Answer:
y=x^2 is not a linear function
Step-by-step explanation:
Answer:
c. This quadratic equation has two complex solutions.
Step-by-step explanation:
Of the choices ...
a. This quadratic equation has exactly one real solution.
b. This quadratic equation has two real solutions.
c. This quadratic equation has two complex solutions.
d. This quadratic equation has no solutions.
The one that is true is <em>c: two complex solutions</em>.
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The discriminant of quadratic ax^2 +bx +c = 0 is ...
d = b^2 -4ac
For this quadratic, the value is 6^2 -4·5·2 = -4.
When the discriminant is positive, there are two distinct real solutions.
When the discriminant is zero, there is one real solution.
When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.
<h3><u>The value of c is greater than or equal to the value 9.5</u></h3>
2c ≥ 19
We can treat this inequality like a standard algebraic equation.
<em><u>Divide both sides by 2.</u></em>
c ≥ 9.5
Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
Answer:
2 x 2 x 11
Step-by-step explanation:
Note that prime factors are numbers that cannot be reduced anymore, and, when multiplied together, would equal the original number.
44/2 = 22/2 = 11
2 x 2 x 11 = 44 ∴ 2 , 2, 11 are your answers.
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