15. -2
16. A. The pool was originally empty
Triangular prisms are longer, this is a triangular pyramid
Answer:
The line passes (2, 5) and (4, 7) has slope:
S = (7 - 5)/(4 - 2) = 2/2 = 1
The line passes (1, 7) and (-4, 2) has slope:
S = (2 - 7)/(-4 - 4) = 5/-5 = -1
The multiplication of two slope is 1 x (-1) = -1
=> Two lines are perpendicular
Hope this helps!
:)
See in the explanation
<h2>
Explanation:</h2>
Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
- Horizontal shifts
- Vertical shifts
- Reflections
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
- A coordinate plane.
- An original shape
- Set the original shape in the coordinate plane.
- A rule
- The translated shape
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>
Translation: brainly.com/question/12534603
#LearnWithBrainly
Answer:
Total number of kilometers in the ride = 5 km
Number of kilometers Garret has already biked = k km
Number of kilometers Garret left to ride = 5 - k km
Number of minutes Garret takes per kilometer = 4 minutes.
Step-by-step explanation:
1. It takes 4 minutes for Garret to go a kilometer. Then
Number of minutes Garret takes per kilometer = 4 minutes.
2. Suppose the variable
is the number of kilometers Garret has already biked.
3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then
Total number of kilometers in the ride is
4. Suppose the variable
is the number of kilometers Garret has already biked. Then
km is the number of kilometers Garret left to ride.