9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
Answer:
Angles T and V
Step-by-step explanation:
Answer:
The rational numbers are 
and the irrational functions are 
.
Step-by-step explanation:
A rational number can be expressed in the form of 
, where p and q are integers and q is not equal to 0. For example 
.
An irrational function can not be expressed in the form of , where p and q are integers and q is not equal to 0. For example 
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number 
is a rational number.
Therefore 
is an irrational number.
Therefore 6.25 is a rational number.
Therefore 0.01045 is a rational number.
The number 
is a rational number.
The number 
is an irrational number.
Therefore 
is an irrational number. The numbers with recursive bar are always rational numbers.
Answer:
The area of the given rectangle is 51
Step-by-step explanation:
First we have to find the coordinates of the vertices of the rectangle.
Then the length and breadth of it using distance formula.
The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by
Finally calculate the area of rectangle using the formula,
Area of rectangle = Length * Breadth
From the given graph, we get the coordinates of the rectangle as
A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)
Breadth, AB = 
Length, BC = 
Now, Area of rectangle = Length * Breadth = AB * BC = √17 * 3√17 = 3 *17 = 51
∴ The area of the given rectangle is 51
Answer:
its b
Step-by-step explanation:
