Answer:
Y=x+6
Step-by-step explanation:
to find out the slope you use the equation y2-y1/x2-x1. When you plug in the coordinates it will look like 7-2/1-(-4) and this is equal to 5/5 which can be simplified to 1. So the slope is 1! Now to find the y intercept you have to do b=y1-m*x1! If you plug into the coordinate it will be b=2−(1)⋅(−4) which is equal to 6. Then to construct out equation of the line it will be y=mx+b so now we plug in the slope and the y intercept so that the equation would be y=x+6
Answer:
2(2x + 1)(3x + 1)
Step-by-step explanation:
given
12x² + 10x + 2 ← factor out 2 from each term
= 2(6x² + 5x + 1) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 6 × 1 = 6, sum = + 5
The factors are + 3 and + 2
Use these factors to split the middle term
6x² + 3x + 2x + 1 ( factor the first/second and third/fourth terms )
= 3x(2x + 1) + 1(2x + 1) ← take out the common factor (2x + 1)
= (2x + 1)(3x + 1)
12x² + 10x + 2 = 2(2x + 1)(3x + 1) ← in factored form
Simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches.[3]
For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
Answer:
2400
Step-by-step explanation:
half of 4800 is 2400