So we are looking for the GCF which is the largest factor that the two numbers have in common, so you would want to circle all of the number that the two have in common. So it would be 2 twos and 2 X's (2,2,x,x). Which is the most numbers that the two have in common.
The relationships that could have a negative correlation are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
<h3>What is negative correlation?</h3>
Correlation between two variables shows the relationship between the two variables.
A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.
However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.
Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
Learn more about correlation at: brainly.com/question/6563788
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your answer would be 9 fish are left in the tank
M` = ( 0.8 * 2, 0.8 *4 ) = 0.8 * ( 2, 4 );
N` = ( 0.8 * 3, 0.8 * 5 ) = 0.8 * ( 3 , 5 ).
The slope of line M`N` ( after dilation ):
m = Rise / Run = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= 0.8 * ( 5 - 4 ) / ( 0.8 ( 3 - 2 ) = 0.8 / 0.8 = 1
m = 1
Answer:
The slope of line M`N` is : B ) 1
Length of segment of the hypotenuse adjacent to the shorter leg is 5 inches and the length of the altitude is 3 inches.
Step-by-step explanation:
Step 1: Let the triangle be ΔABC with right angle at B. The altitude drawn from B intersects the hypotenuse AC at D. So 2 new right angled triangles are formed, ΔADB and ΔCDB.
Step 2: According to a theorem in similarity of triangles, when an altitude is drawn from any angle to the hypotenuse of a right triangle, the 2 newly formed triangles are similar to each other as well as to the bigger right triangle. So ΔABC ~ ΔADB ~ ΔCDB.
Step 3: Identify the corresponding sides and form an equation based on proportion. Let the length of the altitude be x. Considering ΔABC and ΔADB, AB/DB = AC/AB
⇒ 6/x = 12/6
⇒ 6/x = 2
⇒ x = 3 inches
Step 4: To find length of the hypotenuse adjacent to the shorter leg (side AB of 6 inches), consider ΔADB.
⇒ 
⇒
⇒
⇒
⇒
⇒AD = 5 inches
