Answer:
find the value of x that makes the denominator zero: x = 7
Step-by-step explanation:
A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).
To find the value of x at the vertical asymptote, solve the equation ...
denominator = 0
x - 7 = 0
x = 7 . . . . . . . add 7 to both sides
Answer:
x = 122
Step-by-step explanation:
x = 122 because of alternate interior angles
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
Answer:
6.5 cm
Step-by-step explanation:
From Pythagoras theorem
C^2= a^2 + b^2
Where a, b are the sides of the triangle
C= hypotenus sides of the triangle
two sides are given as 1.6 cm and 6.3cm respectively.
C^2= 1.6^2 + 6.3^2
C^2= 2.56 + 39.69
C^2 = 42.25
C= √42.25
C=6.5 cm
Hence, the length of the hypotenuse is 6.5 cm
