Answer:
y=3x+28
Step-by-step explanation:
so a line perpendicular to one with a slope of 1/3 would have a slope of 3/1 which is just 3
so your line would be y=3x+b
to find b you just plug in the coordinates of the point that you want it to pass through into x and y. Remember that points are written as (x,y)
10=3x-6+b
10=-18+b
28= b
the equation is y=3x+28
Answer:
x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))
Step-by-step explanation:
Firstly let us split this up, we need to first work out what g(h(x)) is:
h(x) = Sqrt(x) so g(h(x)) = g(sqrt(x)) = sqrt(x) - 2
Now to work out f(g(h(x))) = f(sqrt(x) - 2) = (sqrt(x) - 2)^4 + 6
= (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) - 6
= (x - 2 * sqrt(x) + 4) * (x - 2 * sqrt(x) + 4) - 6
= x^2 - 2x * sqrt(x) + 4x - 2x * sqrt(x) + 4x - 8 * sqrt(x) + 4x - 8 * sqrt(x) + 16 - 6
= x^2 - 4x * sqrt(x) + 12x - 16 * sqrt(x) + 10
= x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))
1. The answer is A.
Based on the line plot, we can see that Sandy drank 12 juice boxes on October 12th. Each X on the plot represents 2 juice boxes, and there are 6 of them, meaning she drank 12. October 2nd has 1 X, meaning she drank 2 that day.
2. The answer is A.
On a graph, the point (1, 3) would mean that 1 is on the x-axis, and 3 is on the y-axis. Therefore, point B is correct because it is 1 space to the right, and 3 spaces up from the origin.
3. The answer is C.
If the coordinate we're looking for is (4, 0) then on a graph you would move 4 spaces to the right, and 0 spaces up or down. Therefore, point B is the correct choice.
Answer:
x = 50°
2x = 100°
Step-by-step explanation:
Chords AB and DC are equidistant (3 units) from the center E of the circle.
Since, the chords equidistant from the center of the circle are congruent.
Congruent chords intercepts congruent arcs.
Hence, x = 50°
2x = 2*50° = 100°
