Answer is a. (-13, 12) b. (4, 11)
Step by step
When your rule is
(x,y) ➡️ (x -8, y +2)
a)
You take your input (-5, 10) and add your input rule to that input to get your output.
Input of x is -5, add x rule -8 = -13
Input of y is 10, add y rule +2 = 12
Your output or new coordinate is (-13, 12)
b) You take your input (12, 9) and add your input rule to that input to get your output.
Input of x is 12, add x rule -8 = 4
Input of y is 9, add y rule +2 = 11
Your output or new coordinate is ( 4, 11)
If your rule changes the process is still the same. Remember to watch adding or subtracting negatives. You can use a graph and plot your input and count out your “rule” to double check your work if you want.
Y = -6x
slope intercept form is y=mx+b, I’m sure you just plug in the numbers
Answer:
A =7.02 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
A = 1/2 ( 4.5+6.3) * 1.3
A = 1/2(10.8) * 1.3
A =7.02 m^2
The solutions to the given system of equations is (0, -6) and (1, -5)
<h3>Simultaneous equations</h3>
From the question, we are to determine the solutions to the given system of equations
The equations are
x − y = 6 --------- (1)
y = x² −6 ---------- (2)
From equation (1)
x - y = 6
∴ x = 6 + y ------- (3)
Substitute into equation (2)
y = x² −6
y = (6+y)² −6
y = (6+y)(6+y) -6
y = 36 + 6y + 6y +y² -6
y = 36 + 12y + y² - 6
Simplifying
y² + 12y - y + 30 = 0
y² + 11y + 30 = 0
Solve quadratically
y² + 11y + 30 = 0
y² + 6y + 5y + 30 = 0
y(y +6) +5 (y +6) = 0
(y + 5)(y + 6) = 0
y + 5 = 0 OR y + 6 = 0
y = -5 OR y = -6
Substitute the values of y into equation (3)
x = 6 + y
When y = -5
x = 6 + (-5)
x = 6 -5
x = 1
When y = -6
x = 6 + (-6)
x = 6 -6
x = 0
∴ When x = 0, y = -6 and when x = 1, y = -5
Hence, the solutions to the given system of equations is (0, -6) and (1, -5)
Learn more on Solving simultaneous equations here: brainly.com/question/16863577
#SPJ!
<span>5(x+1)= 4(x-1)+x
5x + 5 = 4x - 4 + x
5x +5 = 5x -4
5 </span>≠<span> -4
x </span>∈ ∅
