Answer:
C. JK and LM are congruent
Step-by-step explanation:
Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM
To get JK:
We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:
JK =√(x2-x1)²+(y2-y1)²
JK = √(0-(-2))²+(8-8)²
JK = √2²+0²
JK = √4
JK = 2
For the length of LM with coordinate L(1,0), and M(1,-2)
LM = √(1-1)²+(-2-0)²
LM = √0²+(-2)²
LM = √0²+2²
LM = √0+4
LM =√4
LM = 2
Since JK = LM = 2 units, this means that JK and LM are congruent.
(2, 4) is an ordered pair that solves truly into that equation.
Answer:
Blue Line: y = 4x - 1
Green Line: y = -x + 6
Red Line: y = -x
Step-by-step explanation:
Looking at the equation y = mx + b
- The first giveaway is that the green line is the highest y-intercept (b- value). So we can say it's y = -x + 6
- Second giveaway is that the blue line has the lowest y-intercept (again the b- value). So we can say it's y = 4x - 1
- Third giveaway is that the red line has the same x-intercept AND y-intercept which is y = -x. Both intercepts are (0, 0).
Lastly, the rest of the statements are true in correspondence of the last 3 statements.
Answer:
1.07 (15 + x) = 42.80
Step-by-step explanation:
Given data
CD= $15
Let the cost of the video game be x
The total cost= 15+x
Hence the equivalent expression is
1.07 (15 + x) = 42.80
open bracket
16.05+1.07x= 42.80
42.80-16.05= 1.07x
26.75=1.07x
x= 26.75/1.07
x= 25
Check
7% tax for CD
=0.07*15
=1.05
total =1.05+15
=$16.05
7% tax for Video game
=0.07* 25
=1.75
total =1.75+25
=$26.75
In all
=26.75+16.05
=$42.8
B. adding 40 to both sides of the equation
x^2 - 40 = 0
x^2 = 40
x = ± √40
