Answer:
y=1/4x+4
Step-by-step explanation:
to find the slope use (y2-y1)/(x2-x1)
(5-6)/(4-8)= 1/4
1/4 is your slope
to find the b in y=mx+b, plug in 1/4 for m and choose one of the points to plug in for x and y
I will use (4, 5)
5=1/4(4)+b
5=1+b
4=b
the final equation in y=1/4x+4
hope this helps!
Answer:
Given: Gables property Corp is leasing office buildings with an area of 
⇒ Area = 
we can write this as:
Area =
.....[1]
Use the identity formula:

then, by using this formula in [1] we have;
Area =
or
Area =
square units
Area of building =
where l is the length and w is the width respectively;
⇒
units
Therefore, the possible length and width of the building is;
l = 7x+5 units
w = 7x+5 units
As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.
Therefore, the possible shape of the building is Square.
Answer:
h = -9
Step-by-step explanation:
Simplifying
5h + 22 + -2h = -5
Reorder the terms:
22 + 5h + -2h = -5
Combine like terms: 5h + -2h = 3h
22 + 3h = -5
Solving
22 + 3h = -5
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + -22 + 3h = -5 + -22
Combine like terms: 22 + -22 = 0
0 + 3h = -5 + -22
3h = -5 + -22
Combine like terms: -5 + -22 = -27
3h = -27
Divide each side by '3'.
h = -9
Simplifying
h = -9
Answer:
Step-by-step explanation:
If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):
35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.
For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.
Remember that the equation of a circle is:

Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

Complete the square. We must do this for x² - 6x and y² - 10y separately.
x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9
Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.
y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

Factor y² - 10y + 25 to get (y - 5)²

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)
Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.