I would use elimination. I would multiply 4x+3y=2 by 3 so the it becomes 12x+9y=6, and I would multiply the bottom equation by 4 so that it becomes 12x+8y=4. Because I am using elimination I have to get rid of one variable, I chose to get rid of X hence that the coefficient of X in each equation is now 12. i simply subtract both equations and get y by itself. y=2. I plug in Y to find x in either of the original equations, where I get x=-1. To check my work substitute the values of x and y in the other equation. 4(-1)+3(2)=2 -------> 2=2
The answer is 9x² - 36x + 35
FOIL Method or Box Method can be useful in solving this problem.
First Terms Product: 3x × 3x = 9x²
Outside Terms Product: 3x × -5 = -15x
Inner Terms Product: -7 × 3x = -21x
Last Terms Product: -7 × -5 = +35
Combining like terms results in the answer given above.
3.
12 ÷ 2 = 6
27 ÷ 3 = 9
24 ÷ 4 = 6
30 ÷ 3 = 10
15 ÷ 5 = 3
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is

The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Answer:
The slope of the dashed line is 
Step-by-step explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:


The slope of the dashed line is 