Answer:
(3y - 2)(2y - 7)
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
Product = 6 × 14 = 84 and sum = - 25
The required factors are - 4 and - 21
Use these factors to split the y- term
6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )
2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term
= (3y - 2)(2y - 7) ← in factored form
Correct scientific notation has only one number to the left of the decimal point.
The correct one would be: 3.4 x 10(exponent 3)
Answer:
y= 5x+20
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and a point on the line is (-4,0)
Substituting this information into the equation, we can solve for b
0 = 5(-4) +b
0 = -20+b
Add 20 to each side
0+20 = -20+20+b
20 = b
y = 5x+20
Convert the angles to degrees. Remember there are 2pi radians in a circle, and a circle has 360 degrees, so conversion factor is 180degrees/pi. Then you can easily approximate the reference angle. Remember you make the reference angle from the positive x-axis and the reference angle will be the angle between the terminal side and the nearest x-axis (either positive side or negative side of the x-axis).
1)
![1.4 * \frac{180degrees}{pi} = 80.214 degrees](https://tex.z-dn.net/?f=1.4%20%2A%20%5Cfrac%7B180degrees%7D%7Bpi%7D%20%3D%2080.214%20degrees)
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