Answer:
C: (1,3)
Step-by-step explanation:
If we count 1 to the right on the x-axis and count 3 up on the y-axis, we will end up at the point of intersection which is (1,3).
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
Answer:
67.5°
Step-by-step explanation:
180 -45 = 135
135 / 2
k= 67.5
We know that the true value for pi is given as 3.14156.
Now, we have been given that the approximate value for pi is 3.141
We know the formula
Absolute error, 
Relative error is given by
![\text{Relative error }= \frac{\Delta x}{\text{true value} }\\ \\ \text{Relative error }=\frac{0.00056}{3.14156} \\ \\ [tex]\text{Relative error }=0.000178](https://tex.z-dn.net/?f=%5Ctext%7BRelative%20error%20%7D%3D%20%5Cfrac%7B%5CDelta%20x%7D%7B%5Ctext%7Btrue%20value%7D%20%7D%5C%5C%0A%5C%5C%0A%5Ctext%7BRelative%20error%20%7D%3D%5Cfrac%7B0.00056%7D%7B3.14156%7D%20%5C%5C%0A%5C%5C%0A%5Btex%5D%5Ctext%7BRelative%20error%20%7D%3D0.000178)
The percentage error is given by

Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)