Answer:
22 units
Step-by-step explanation:
Known Quantities:
Calculations:
Final Calculations:
- perimeter = 2 x (3+8)
- perimeter = 22
Answer:
1lb 8 oz
Step-by-step explanation:
Take 3 lbs and separate it into 48oz + 4 oz = 52 oz.
Same with the 1 lb 12 oz. 16 oz + 12 oz = 28.
Subtract 28 from 52 = 24 oz = 1 lb 8 oz.
Hope this helps.
4. Here you would use the Pythagorean Theorem. a² + b² = c²
In this case a and b are the same, so : a² + a² = c² would also work.
a = 5√2 so: (5√2)² + (5√2)² = c²
Do you know where to go from here?
Answer:
area = 22,272
Step-by-step explanation:
area = length * width
to calculate the width, we need the first segment using the pythagorean theorem




length = 116 + 140 = 256
so
area = 87 * 256 = 22,272
Answer:
<h3>perpendicular line:
y = -¹/₆
x + 4¹/₃
</h3><h3> parallel line:
y = 6x - 45
</h3>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆
x+b passes through point (8, 3) so the equation:
3 = -¹/₆
×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆
x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45