The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
Answer:

Step-by-step explanation:

Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>Equation Solving</u>
The area of a trapezoid with height h and bases b1 and b2 is given by:

We must solve this formula for h.
First, multiply by 2 to eliminate denominators:

Now, divide by b1+b2:

Swapping sides:

Correct choice: B
Answer:
AB = 25 units
Step-by-step explanation:
In right triangle ACB,
Therefore, by geometric mean property:

AB = AD + DB
AB = 20 + 5
AB = 25 units
Answer:
$11
Step-by-step explanation:
Let Ben has b,
sean has s
alexis has a
samantha has s
Money.
We need to write the words into equations and solve as we can.
b + s + a + s = 47
b + s = 27
b + a = 25
b + s = 23
We need to find a.
Let's put 2nd equation in first, to get:
27 + a + s = 47
a + s = 20 ---------- 5th equation
Now let's solve 4th equation for b and put it into 3rd equation:
b + s = 23
b = 23 - s
Putting in 3rd equation:
23 - s + a = 25
a - s = 2 ---------------6th equation
Now, add up 5th and 6th equation to get a:
a + s = 20
a - s = 2
-------------
2a = 22
a = 22/2 = 11
Alexis got $11