9514 1404 393
Answer:
(x, y) ⇒ (x -m, y -n)
Step-by-step explanation:
Reverse the arrow and solve for the x and y on the left:
(x +m, y +n) ⇒ (x, y)
This resolves to two relations:
x + m ⇒ x
x ⇒ x - m . . . . . subtract m
and
y + n ⇒ y
y ⇒ y - n . . . . . . subtract n
Putting these back together, we have ...
(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ
_____
The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.
Answer:
f(3) = 36
Step-by-step explanation:
ƒ(x) = 5x^2 − 9x + 18
Let x =3
ƒ(3) = 5(3)^2 − 9(3) + 18
= 5*9 -27 +18
= 45 -27+18
=36
The probability of picking a green grape is 1/2.
<h3>What is probability?</h3>
Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .
The probability of green grape will be the division. This will be:
= P(R and G) / P(R)
= 1/8 ÷ 1/4
= 1/8 × 4/1
= 1/2
The probability is 1/2.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Answer:
924m^3 is the volume of the rectangular prism
Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.
Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :
1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.
2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.
3) When two lines intersect each other at one point we say the system of equation has one solution.
Part A:
The given lines are intersecting at one point so we have one solution.
Part B:
The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)
Solution is (4,4)
