Answer:
y = (x+4)^2 +13
Step-by-step explanation:
y=x^2+8x+29
To complete the square take the coefficient of the x term
8
Divide by 2
8/2 =4
Then square it
4^2 =16
y=x^2+8x+16+13
= (x^2+8x+16) +13
= (x+4)^2 +13
Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:
5 purple beads
8 red beads
4 blue beads
Step-by-step explanation:
Find the common factor of 8 5 and 10
Which is 40
8 * 5 = 40
5 * 8 = 40
4 * 10 = 40
11 is the biggest and the 22
Answer:
The correct equation is "y=30x+6147". A further explanation is given below.
Step-by-step explanation:
The given values are:
(x1, y1) = (50, 7647)
(x2, y2) = (100, 9147)
As we know,
The slope is,
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
⇒ 
Now,
⇒ 
On substituting the given values in the above equation, we get
⇒ 
⇒ 
On adding "7647" both sides, we get
⇒ 
⇒ 
