Answer:
HI = 13
Step-by-step explanation:
The triangle that is shown is a 45-45-90 triangle, so we know that GH = GJ = 9 and IJ = 13, we are able to solve for HI.
Technically, IJ = HI, since both triangles are congruent. Both IJ and HI will be 13.
Answer:
1. y=6x-22
Step-by-step explanation:
point-slope form equation : y=mx+b
1. (3, -4) m=6
Sub the numbers is
y=-4 / x=3 / m = 6
-4=6*3+b
-4=18+b
b=-22
So your equation would be y=6x-22
2. (4, 2) m=-5/3
sub the numbers into the equation
y=2 / x=4 / m= 5/3
2=4*5/3+b
2=20/3+b
b=8 2/3
so the equation would be
y=-5/3x+8 2/3
3. (0,2) m=4/5
sub the numbers into the equation
2=0*4/5+b
b=2
so the equation would be
y=4/5x+2
4. (-2, -7) -3/2
sub the numbers into the equation
-7=-3/2*-2+b
b=-10
so the equation would be
y= 3/2x-10
5. (4,0) 1
sub the numbers into the equation
0=1*4+b
b=-4
so the equation would be
y=x-4
6. (5,-8) -3
sub the numbers into the equation
-8=5*-3+b
-8=-15+b
b=7
so the equation would be
y=-3x+7
7. (-5, 2) 0
sub the numbers into the equation
2=-5*0+b
b=2
so the equation would be
y=2
8. (1, -8) -1/5
sub the numbers in
-8=1*-1/5+b
b= 7 3/5
so the equation would be
y=-1/5x + 7 3/5
9. (-6,1) 2/3
sub the number in
1=2/3*6+b
b=-3
so the equation would be
y=2/3x-3
Answer:
(4,-2)
Step-by-step explanation:
y - 3x < - 4
-2-3(4) < -4
-2-12 <-4
-14 < - 4
Answer:
m<4 = 117 degrees
Step-by-step explanation:
Knowing that angle 1 is 63 degrees, we can look at the other angle on the same side of the line, angle 4.
Angles on one side of a line add to 180 degrees.
180 - 63 = 117
Answer:
dependent
Step-by-step explanation:
The given system is :
15x-18=3y
5x=y+6
Rewrite the equations in standard form to get:
15x-3y=18
5x-y=6
Multiply the bottom equation by 3.
15x-3y=18
15x-3y=18
Sub both equations:
0-0=0
0=0
We got an identity
The system is dependent because there are infinitely many solutions
