Answer:
x=-6
Step-by-step explanation:
The axis of symmetry is the lowest (or highest) point. It is the line where it becomes the mirror image.
Looking at the graph, this is the line x=-6
x = -6
I believe its 80 but it could be 45 still
Answer:
The standard form of the equation is 2x + 5y = -1
Step-by-step explanation:
To find this equation in standard form, we first need to find the slope of the line. We can do that by using the slope formula with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -3)/(-3 - 7)
m = 4/-10
m = -2/5
Now that we have the slope, we can use that along with the point in point-slope form
y - y1 = m(x - x1)
y - 1 = -2/5(x + 3)
Now that we have that, we can solve for the constant and rationalize the denominators.
y - 1 = -2/5x - 6/5
2/5x + y - 1 = -6/5
2/5x + y = -1/5
2x + 5y = -1
Answer:
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
Answer: the father is 44 years old now
Step-by-step explanation:
Let Bob's present age be represented by x
Let his father's present age be represented by y
Bob's age is 15 years less than half his father's age. This means that
x = y/2 - 15
x + 15 = y/2
y = 2x + 30
y - 2x = 30 - - - - - - - - - -1
In six years his father's age will be eleven years more than triple Bob's age. This means that
y + 6 = 3(x + 6) + 11
y + 6 = 3x + 18 + 11
y - 3x = 18 + 11 - 6
y - 3x = 18 + 11 - 6
y - 3x = 23 - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
x = 7
y = 2x + 30
y = 2×7 + 30
y = 14 + 30
y = 44
