Water ride is at point (3,8).
Roller coaster is at point (27,40).
The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>

$x = \frac{3 + 27}{2} = 15$

$y = \frac{8 + 40}{2} = 24$

The location point of the Ferris wheel is (15,24).

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

$D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20$

They need to walk 20 units.

Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
The distance is of 20 units, thus:

$(3 + 20, 8) = (23,8)$

The coordinates of the hotdog stand are (23,8).

A similar problem is given at brainly.com/question/24352869

6 0

3 years ago

Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)

Julli [10]

Answer:

1) 6x+3y=5

Step-by-step explanation:

1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the two points into the formula and solve:

$m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2$

So, the slope is -2.

2) Now, identify the slopes of the lines in the options. We already know the slope of $y = -\frac{1}{2} x-7$ is $-\frac{1}{2}$ since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.

To find the slope of $6x + 3y = 5$ , isolate y to put the equations into slope-intercept form ( $y = mx + b$ format), and whatever the coefficient of the x-term is will be the slope.

$6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}$ .

So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.

4 0

3 years ago