Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
Answer:
a) )12,6)
b) (12,2)
c) (4,-7)
d) (9,-7)
Step-by-step explanation:
a) Dilation
When we dilate, we multiply the given scale factor by each of the coordinates
We have this as follows;
(20 * 3/5, 10 * 3/5) = (12, 6)
2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value
We have this as;
(7+ 5, 8-6) = (12,2)
3. By reflecting across the x-axis
we have (x,y) changing to (x,-y)
so we have ;
(4,7) becomes (4,-7)
4. Rotation by 270 degrees (7,9)
If clockwise;
(x,y) becomes (y,-x)
so we have
(7,9) becoming (9,-7)
The CEO determine which two sets execute
Answer:
Ф = 39.4 degrees
Step-by-step explanation:
The ratio 5.75 / 7 is the tangent of the angle of elevation. Using the inverse tangent function on a calculator returns Ф = 39.4 degrees.
Answer:
it would have snowed 1 2/5 feet more the previous day than the current day.
