Given:
One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are 
and 
.
According to the question,
(Additive inverse of is 
)
If and are roots of the quadratic equation 
then
We have,
Here, a =1, b=k and c=-98.
![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)
...(i)
Now,
Divide both sides by -2.
Taking square root on both sides.
Using (i), we get
Therefore, the value of k is either -1 or 1.
Option B:
The perimeter of the figure is 16 + 2π.
Solution:
The clear image of the question is attached below.
Diameter of the semicircle = 7 – 3 = 4
Radius of the semicircle = 4 ÷ 2 = 2
Perimeter of the semicircle = 
In figure, one side of the semicircle is merged with rectangle, so remove two radius from the perimeter of the semicircle.
Perimeter of the semicircle = 
= 2π units
Perimeter of the rectangle given = 3 + 7 + 3 + 3
= 16 units
Perimeter of the given figure = 2π + 16
= (16 + 2π) units
Hence the perimeter of the figure is 16 + 2π.
Option B is the correct answer.
Answer:
Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Step-by-step explanation:
HOPE THIS HELPS!
Answer:
A. 107
Step-by-step explanation:
Angles 107 and b are corresponding angles,
Corresponding angles are equal.
So,
b = 107
Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
