<h2>
19 X 33 = 627, justified.</h2>
Step-by-step explanation:
We have,
19 × 33 = 627
Use the fact and justify.
L.H.S. = 19 × 33
= (20 - 1) (20 + 13)
Using the identity,
(x - a)(x + b) =
- (a - b)x - ab
Here, x = 20, a = 1 and b = 13
=
- (1 - 13)20 - 1(13)
= 400 - (- 12)20 - 13
= 400 + 240 - 13
= 640 - 13
= 627
= R.H.S., justified.
Thus, 19 X 33 = 627, justified.
By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
_____
7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
okay so sorry i couldn't get it i need more information.
Answer:
A. negative correlation
Step-by-step explanation:
Let two variables x and y, the correlation coefficient r measure to what degree the variables x and y are related.
--- If this coefficient is positive then the relationship will be positive. This means that even an increase in the variable x will produce an increase in the variable y. In the dispersion diagram the points will be grouped, simulating a line of positive slope.
--- If this coefficient is negative then the relation will be negative. This means that even an increase in the variable x will produce a decrease in the variable y. In the dispersion diagram the points will be grouped, simulating a negative slope line.
In the diagram shown it can be noted that as the variable x increases the variable y decreases.
Therefore it can be concluded that the correlation between x and y is negative. The correct option is option A
Answer:
distance between points=13 units
Step-by-step explanation:
distance between points=
put
=(8,7) and
=(3,-5)
distance between points=
distance between points=
distance between points=
distance between points=
distance between points=13 units answer