Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)
m = 
= 
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 0), then
0 = - 6 + c ⇒ c = 0 + 6 = 6
y = - 2x + 6 ← equation of line
Answer:
- 8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
- 2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
- x^3+8 ⇒ (x+2)(x^2−2x+4)
Step-by-step explanation:
The factoring of the sum of cubes is ...
a³ +b³ = (a +b)(a² -ab +b²)
1. a=2x, b=1
= (2x)³ + 1³
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2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.
= (2x)(x³ +2³)
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3. a=x, b=2
= x³ +2³
Answer:
L = P/2 - W
Explanation:
Step 1 - Start by factoring out the two
P = 2L + 2W
P = 2(L + W)
Step 2 - Divide both sides of the equation by two
P = 2(L + W)
P/ 2 = 2(L + W)/ 2
P/ 2 = L + W
Step 3 - Subtract W from both sides of the equation
P/ 2 = L + W
P/ 2 - W = L + W - W
P/ 2 - W = L
Answer:
Step-by-step explanation:
I think your supposed to add all those numbers together
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
