Answer:
The translation is 3 units left and 2 units down
Step-by-step explanation:
we know that
Point A is located at (1,5) and point A’ is located at (-2,3)
so
The rule of the translation is
(x,y) -----> (x+a,y+b)
(1,5) ----> (-2,3)
Find the values of a and b
1+a=-2 ----> a=-2-1 ----> a=-3
5+b=3 ----> b=3-5 ----> b=-2
so
The rule of the translation is
(x,y) -----> (x-3,y-2)
That means -----> The translation is 3 units left and 2 units down
To graph the line we need two points; we already have one the point (4,2) now we need to find another one; to do this we get the equation of the line given by:
where m is the slope and (x1,y1) are a point throught the line. Plugging the values given we have:
Now we give a value to x and find the corresponding y. If x=0, then:
hence we have the point (0,-2).
Now that we have two points (0,-2) and (4,2) we graph them on the plane and join them with a straight line, hence the graph is:
Hi there!
To solve this problem, first we need to convert everything into feet.
1.5 mi = 7920 ft
Since
7920 is greater than 3520,
Ashley lives closer to the school.
Hope this helps!
Answer:
MQ and QP are equal, MO and OP are equal, x=2
Step-by-step explanation:
QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!
Answer:
The coordinates of point c: (7,5)
The coordinates of point D:(8,1)
