Answer:
4x^2+19x-5=(x+5)(4x -1)
Step-by-step explanation:
The given expression is 4x^2 + 19x - 5
The leading coefficient is 4 and last term is -5
Multiply them, we get -20
Now find the factors of -20 such that when you add the factors we have to get 19.
-1*20 = -20
20+ (-1) = 19
The right factors are -5 and 9.
4x^2 + 19x - 5 =4x^2 + 20x -1x - 5
= 4x(x + 5) -1(x + 5)
= (x + 5)(4x -1)
The missing factor is (4x -1)
Thank you.
Answer:
Step-by-step explanation:
You need to change the denominator into a the least common denominator, 4 and 3 both have 12 in common. 12 is your new denominator but what you to the bottom you must do to the top. So when you multiply 3/4 by 3/3 you will get 9/12.
Then you want to make 4 1/3 into a improper fraction, which would be 13/3 you want to multiply this by 4 and you will get 52/12. You will then add 52/12 to 9/12 and get 61/12 or 5 1/12.
If you need any more help please let me know.
Answer:
- The coordinates of the point p are:
Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
From which you can clear y:
Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.
Answer: y= 3x-1
Step-by-step explanation:
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m =
y2-y1
x2-x1
m =
2--1
1-0
m =
3
1
m = 3
Now putting value of m in equation (i)
y = 3x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-1) for calculating y-intercept:
y = mx + b
-1 = 3(0) + b
-1 = 0 + b
-1 = b
b = -1
Answer:
4 1/12
Step-by-step explanation:
a = 5/6 b = 3 1/4 = 13/4
To add 5/6 + 13/4, we have to make the denominators the same:
20/24 + 78/24 = 98/24
To make it back to a mixed fraction:
4 2/24
4 1/12
