Answer:
x + y = ±15
Step-by-step explanation:
Step 1: Write out systems of equations
x - y = 1
xy = 56
Step 2: Rearrange 1st equation
x = y + 1
Step 3: Substitution
(y + 1)y = 56
Step 4: Distribute
y² + y = 56
Step 5: Solve for <em>y</em>
y² + y - 56 = 0
(y - 7)(y + 8) = 0
y = -8, 7
Step 6: Plug in <em>y </em>to find <em>x</em>
x - 7 = 1
x = 8
x - (-8) = 1
x + 8 = 1
x = -7
Step 7: Find answer
x + y = ?
8 + 7 = 15
-7 + -8 = -15
So both 15 and -15 could be the answer.
Answer:
(0,-4)
(2,-1)
The first point because it is the y-intercept
second point because it is found our by 3/2 as the slope. slope is rise/run. so you rise three and move to the side 2. as is the point (2,-1)
Hope this helps
Answer:
<h2>-8(k - 4) = -8k + 32</h2>
Step-by-step explanation:
-8(k - 4) <em>use the distributive property: a(b + c) = ab + ac</em>
= (-8)(k) + (-8)(-4) = -8k + 32
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
