For the point P(−19,18) and Q(−14,23), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Answer:
The points corresponding to P=(3,4) and Q=(6,7), so the answer is D.
Step-by-step explanation:
Ok, in mathematics, given two sets X and Y, the collection of all the ordered pairs (X, Y), formed with a first element in X and a second element in Y, is called the Cartesian product of X and Y. The Cartesian product of sets allows define relationships and functions. In this case, it is a function that contains two points, denoted P and Q. Given, the ordered pair of each, first read the one corresponding to the X axis and then to the Y axis.
For P: you read X and you see that it is on 3 (between 2 and 4), and then the Y axis is on 4 (between 3 and 5).
For Q: you read X and you see that it is on 6 (between 5 and 7) and then the Y axis is on 7 (between 6 and 8)
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
It will be graph C. y=-2x+6
Answer:
see below
Step-by-step explanation:
Small bag
95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs
Medium bag
1.8£ / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs
Large bag
3.7£ / 3 kg *
