Answer:
The equation of the line we want to write is 4y = -x + 22
Step-by-step explanation:
Here, we want to write the equation of a line
.
The standard equation of a straight line is given as:
y = mx + c
where m is the slope and c represents the y-intercept
Now, let’s look at the line y = 4x + 16
The slope of this line is 4
Now, the equation of the line we want to write is perpendicular to this line
When two lines are perpendicular, the product of their slopes = -1
Hence;
m * 4 = -1
m = -1/4
So the slope of the line we want to write is -1/4
Now, using the point-slope form for the new equation;
y-y1/x-x1 = m
From the point given (x1,y1) = (10,3)
Thus;
y-3/x-10 = -1/4
4(y-3) = -1(x - 10)
4y - 12 = -x + 10
4y = - x + 10 + 12
4y = -x + 22
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
Answer:
188.27
Step-by-step explanation:
divide the starting number (1500) by 100 to get 1% then times by 3 to get the new number for tje start of tje next year.
After 1st- 1545
after 2nd year = 1591.35
After 3rd = 1639.1005
After 4th= 1688.273515
what he gained is 1688.273515-1500= 188.273515.
now round to 2 decimals = 188.27
Keep in mind that, the directrix is "p" distance units away from the vertex, and the focus point is also "p" distance units from the vertex but in the opposite direction, so in short the vertex is half-way between both of them.
in this case the vertex is at the origin, and the directrix 5 units above it, so that means the parabola is vertical and opening downwards, like the one in the picture below, and the focus point is 5 units the other way.
