The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
Answer: 76.28 approximately 76
Step-by-step explanation:
Ryan bought fishing gear for 51.50, 14.99 and 5.79.
Total fishing gear bought will be the addition of the 3 fishing gear.
51.50 + 14.99 + 5.79= 72.28
The sales tax is the multiplication of the total fishing gear by 0.05
= 72.28 × 0.05
= 3.614 which is approximately 4
Amount paid by Ryan will be
Total fishing gear + Sales tax
= 72.28 + 4
= 76.28 approximately 76.
Problem
Write the slope-intercept form of the line described in the following:
Parallel to 4x + 5y=20
and passing through (12,4)
Solution>
For this case we need to have the same slope, and if we write the equation given we see:
5y = 20 -4x
y = 4 -4/5 x
then the slope m = -4/5
and we also know a point given x= 12, y= 4 and we can do the following:
4 = -4/5 (12) +b
4 = -48/5 + b
And if we solve for the intercept we got:
b= 4 +48/5= -28/5
And our equation would be given by:
y = -4/5 x -28/5
Hi there!
We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.
On this map, Oxford Street is perpendicular to Waterloo St., and Rosewood Street is perpendicular to Oak St..
The answers are (in correct order): Waterloo St. and Oak St..
~ Hope this helps you!
