Answer:
b. y = -9
Step-by-step explanation:
A line with zero slope has no dependence on x. It is simply ...
... y = constant
The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...
... y = -9
Answer : C. 40
In a right triangle, the acute angles measure x + 15 and 2x degrees
We know right angle is 90 degree.
In right angle triangle , one angle is 90 and other two angles are x+15 and 2x
WE know sum of angles in a triangle = 180
90 + x+15 + 2x = 180 (combine like terms)
105 + 3x = 180
Subtract 105 on both sides
3x = 75 (Divide by 3 on both sides)
x= 25
In right angle triangle , one angle is 90 and other two angles are x+15 and 2x
Replace x with 25
So angles of the right triangle are 40, 50 , 90 degrees
Smallest angle of the triangle= 40
Answer:
B. 36
Step-by-step explanation:
The shaded quadrilateral has a shape of a trapezium.
Area of a trapezium = (a + b)h
where: a is the side length parallel to the base, b is the base and h is the height.
The height of the figure = 11 - (4 + 1)
= 11 - 5
= 6
The height of the figure is 6 cm.
The length of its base = 11 - (1 + 2)
= 11 - 3
= 8
The length of its base is 8 cm.
The length of the side parallel to base = 11 - (4 + 3)
= 11 - 7
= 4
The parallel side length to base is 4 cm.
Area of quadrilateral = (a + b)h
= (4 + 8)6
= 12 x 3
= 36
Area of quadrilateral = 36
In some instances of bivariate data, it is determined that one variable influences or determines the second variable, and the terms dependent and independent variables are used to distinguish between the two types of variables. In the above example, the length of a person's legs is the independent variable.
Answer:
2x^2+x-36=0
(4,0)
2*4^2+4-15=21
Step-by-step explanation: