Adding all of the areas together:
5 x 6 = 30
4 x 6 = 24
3 x 6 = 18
4^2 + 3^2 = 16 + 9 = 25(square root) = 5
" " = 5
30 + 24 + 18 + 5 + 5 = 82 ft^2
Hey there!!
What is slope-intercept form :
... y = mx + b
( a ) Given :
... ( 2 , -2 ) and slope=1.4
... y = mx + b
... -2 = 2×1.4 + b
... -2 = 2.8 + b
... -4.8 = b
The slope-intercept form :
... y = 1.4x - 4.8
( b ) Given :
... ( -1 , 4 ) and slope = -3.
y = mx + b
... 4 = -3×-1 + b
... 4 = 3 + b
... 1 = b
The slope-intercept form :
... y = -3x + 1
Note :
( m = slope and b = y-intercept )
Hope my answer helps!!
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
Sum divided by count. Add up all the numbers and divide it by how many numbers it is.
Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!