Answer:
y=5(x-3)^2+2
Step-by-step explanation:
You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.
Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km
Answer:
Step-by-step explanation:
a). There are 8 points in the figure attached.
b). There are 9 lines in the given figure.
c). There are 5 planes in the figure attached.
d). Three collinear points are D,G and F.
e). Four co-planar points are G, F, H and C.
f). Intersection of planes ABC and ABE is the common line AB.
g). Intersection of planes BCH and DEF is the common line EF.
h). Intersection of AD and DF is a point D.
Answer:
<u>y = -3x - 0.25</u>
Step-by-step explanation:
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
We'll use the point-slope form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
We are told the slope, m, is -3.
y = -3x + b
We need to find a value for b that will cause the line to go through point (1.25,-4), We can do that by entering this point in the equation we have this far:
y = -3x + b
-4 = -3(1.25) + b
-4 = -3.75 + b
-0.25 = b
<u>The equation is: y = -3x - 0.25</u>
<u></u>
See attached graph.
