Answer:
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
3y=4x+1
Swap sides so that all variable terms are on the left hand side.
4x+1=3y
Subtract 1 from both sides.
4x=3y−1
Divide both sides by 4.
4
4x
=
4
3y−1
Dividing by 4 undoes the multiplication by 4.
x=
4
3y−1
Answer:
D. They have the same y-intercep
Step-by-step explanation:
Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .
(–2, –9) and (4, 6)
Gradient= (6--9)/(4--2)
Gradient= (6+9)/(4+2)
Gradient= 15/6
Gradient= 5/2
Choosing (–2, –9)
The equation of the line
(Y+9)= 5/2(x+2)
2(y+9)= 5(x+2)
2y +18 = 5x +10
2y =5x -8
Y= 5/2x -4
Choosing (4, 6)
The equation of line
(Y-6)= 5/2(x-4)
2(y-6) = 5(x-4)
2y -12 = 5x -20
2y = 5x-8
Y= 5/2x -4
From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7
Answer: Options B. 7 and D. 5
This is what I did for factoring. Let me know if you need more work?
Answer:105
Step-by-step explanation:
area of rectangle (b*h) (7*12)
Area of triangle 1/2 (b*h) 1/2(7*6)
Rectangle=84
Triangle=21
84+42= 105
