Answer:
y = 
Step-by-step explanation:
to get the hypotenuse:
use the Pythagorean theorem:
a² + b² = c²
where a = 19, b = 8.2 c = y
plugin values:
19² + 8.2² = y²
y = 
Answer:
b. y = -7x + 4
1. y = -7(-5)+ 4 = 35+4= 39
2. -24= -7x + 4
-28 = -7x
4 = x
3. y = -7(0)+4= 4
4. 0 = -7x+4
-4= -7x
4/7 = x
c. 3y - 5x = 15
1. 3y - 5(6)
3y-30=15
3y=45
y = 15
2. 3(-10)-5x=15
-30-5x=15
-5x = 45
x = -9
3. 3y-5(0)=15
3y=15
y=5
4. 3(0)-5x=15
0-5x=15
-5x=15
x=-3
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the left rectangle</u>
We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.



<u>Step 2: Determine the area of the right rectangle</u>



<u>Step 3: Determine the total area</u>



Answer: 
Hi there!
I'm just gonna answer this and explain as I'm doing it.
So we have (3x10)x8= __x(10x8)
Well, first we look at what they did. They couldn't have changed the equation, but just moved things around.
Now, assuming you know your properties, I'm gonna go ahead and answer it.
(3x10)x8=3x(10x8)
^^
I used the Associative property, which basically says that when 3 or more #s are multiplied, the answer doesn't change no matter how you group the numbers. See how they just moved the numbers around, and only swapped the 3 for the 8?
Hope this helped!
Answer:
remainder = 290
Step-by-step explanation:

= 3x² + 11x + 57 + 
quotient = 3x² + 11x + 57 and remainder = 290