Answer:
A) 29
Step-by-step explanation:
DG = GJ
GJ = DG = 4x + 17
DJ = DG + GJ
11x + 25 = 4x + 17 + 4x + 17
11x + 25 = 4x + 4x + 17 + 17 {Combine like terms}
11x + 25 = 8x + 34
Subtract 25 from both sides
11x = 8x + 34 - 25
11x = 8x + 9
Subtract 8x from both sides
11x - 8x = 9
3x = 9
Divide both sides by 3
x = 9/3
x = 3
DG = 4x + 17
= 4*3 + 17
= 12 + 17
DG = 29
The slope intercept form of a line is y = mx + b
Plug in the slope, 6, into m.
Rewrite the equation;
- y = 6x + b
- We need to find b, your y-intercept, to finish this equation.
Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.
Solve for b to find the y-intercept.
Your new equation (your answer) is<em> </em>y = 6x + 58.
Consecutive odd integers are 2 apart
they are
n,n+2,n+4
3(n²)=12+(n+2)(n+4)
expand
3n²=12+n²+6n+8
3n²=n²+6n+20
minus n² both sides
2n²=6n+20
divide bot sides by 2
n²=3n+10
minus 3n+10 both sides
n²-3n-10=0
factor
(n-5)(n+2)=0
n-5=0
n=5
n+2=0
n=-2
has to be odd, so no
n=5
n+2=7
n+4=9
the integers are 5,7,9
The believe the answer is C but I could be wrong, good luck!