To calculate the distance between these two points, we use the Pythagorean theorem since the two points can form a right triangle when plotted where the hypotenuse would be the distance between these two. We do as follows:
d = √[(x2-x1)^2 + (y2-y1)^2]
d = √[(3-1)^2 + (9-4)^2]
d = √29 = 5.39 units
The correct answer is A.
Answer:
387
Step-by-step explanation:
The two person will pay the same amount of money when they both watch 9 hockey games.
<h3>How to find the equation and use it to find cost?</h3>
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,
y = 99 + 3x
where
y = total cost
x = number of game
A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,
y = 14x
The number of games they will have the same amount is as follows:
99 + 3x = 14x
99 = 14x - 3x
99 = 11x
x = 99 / 11
x = 9
Therefore, they will have the same amount when they watch 9 games.
learn more on equation here: brainly.com/question/14058936
Answer:
Step-by-step explanation:
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=
.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
Substitute m=
into y=mx+c:
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
Thus, the equation of the line is .
Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
