15. What do the graphs of the following equations under the given conditions in each part of the problem have in commo a. y = m(x – 3), for different real number values of m? b. y = m(3 – x), for different real number values of m? c. x – y = a, for different real number values of a? 6. y = m(x – 1) + 1, for different real number values %3D of m? * 16. Suppose a car is traveling at a constant speed of 45 mph. a. Draw a graph showing the relation between the distanc traveled and the amount of time that it takes to travel tl distance. b. What is the slope of the line you drew in part (a)? 17. Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x 6y = 7 3x – 9y = 10 b. 4x — бу — 1 6x – 9y = 1.5 d. 3x – 2y = 1 бу %3D - %3D %3D C. y = 2 – x %3D -3 x +y 2 1 %3D y = x - 2 2 18. The vertices of a triangle are given by (0,0), (10,0), and (6,8). Show that the segments connecting (5,0) and (6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a common point.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
I have a question for number 17
![15. What do the graphs of the following equations under the
given conditions in each part of the problem have in commo
a. y = m(x – 3), for different real number values of m?
b. y = m(3
– x), for different real number values of m?
c. x – y = a, for different real number values of a?
6.
y =
m(x – 1) + 1, for different real number values
%3D
of m?
* 16. Suppose a car is traveling at a constant speed of 45 mph.
a. Draw a graph showing the relation between the distanc
traveled and the amount of time that it takes to travel tl
distance.
b. What is the slope of the line you drew in part (a)?
17. Solve each of the following systems, if possible. Indicate
whether the system has a unique solution, infinitely many
solutions, or no solution.
a. 2x 6y = 7
3x – 9y = 10
b. 4x — бу — 1
6x – 9y = 1.5
d. 3x – 2y = 1
бу
%3D
-
%3D
%3D
C. y = 2 – x
%3D
-3
x +y
2
1
%3D
y = x - 2
2
18. The vertices of a triangle are given by (0,0), (10,0), and
(6,8). Show that the segments connecting (5,0) and
(6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a
common point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7dad7df-e355-48b2-a0d1-cc1455de6803%2F7ac860b0-03ee-406d-a92f-cc0dd7bed83d%2Fwkgq7hp.jpeg&w=3840&q=75)
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