Answer:
Graph 1: 2/9, 2: 1/2 3: 1/5
Step-by-step explanation:
To find slope you do y2-y1/x2-x1 (rise over run). For graph 1, y2=2, y1=0. x2=9,x1=0. 2-0=2, 9-0=0, so the overall slope is 2/9
Answer:
2nd car is running faster than the first car by 2.01 units.
Step-by-step explanation:
Let's assume that
- the velocity of first car,
- and the velocity of second car
=> speed of first car,
= 32.01 units
and speed of second car,
= 30 units
= 2.01 units
Hence, 2nd car is running faster than the first car by 2.01 units.
<em>So to solve for a variable, you have to isolate that variable onto one side.</em>
<h3>14.</h3>
Firstly, multiply both sides by j: 
Next, divide both sides by k and <u>your answer will be: 
</u>
<h3>15.</h3>
Firstly, add g on both sides: 
Next, multiply both sides by 5 and <u>your answer will be: 
</u>
<h3>16.</h3>
Firstly, subtract 5p on both sides: 
Next, divide both sides by 9 and <u>your answer will be 
</u>
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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