Answer:
1. y=3x+3
2. y=3x+1
Step-by-step explanation:
Use y=mx+b
1.
Sub (0,3) into y=mx+b
3=m(0)+b
b=3
Sub (3,9) into y=mx+3
9=m(3)+3
3m=6
m=2
EQUATION: y=3x+3
2.
Sub (1,4) into y=mx+b
4=m(1)+b
b=4-m
Sub (3,10) into y=mx+(4-m)
10=3m+4-m
2m=6
m=3
b=4-m=4-3=1
EQUATION:y=3x+1
Hey there! :)
Answer:
Point V.
Step-by-step explanation:
Given the coordinates of T at (-6.5, 1), U represents T before any reflections. (Helps to visualize this better)
Reflecting across the x-axis results in the sign of the y-coordinate changed. Point T after this reflection becomes (-6.5, -1).
Finally, reflecting across the y-axis will change the sign for the x-coordinate.
(-6.5, -1) becomes (6.5, 1). This is represented by point V.
The answer is d. <span>x ≥ –2 .</span>
Answer:
5
Step-by-step explanation:
let the number written on the board be x.
1st student's number= x +23
2nd student's number= x -1
<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>
x +23= 7(x -1)
x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>
7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
6x= 30 <em>(</em><em>simplify</em><em>)</em>
x= 30 ÷6 (÷6 on both sides)
x= 5
Thus, the number written on the board is 5.
