32/40 is the fraction to 32:40 and if u simplify it, it would be 4/5
Answer:
112.5ft^2
Step-by-step explanation:
10 x 9 = 90
9 × 5 × .5 = 22.5
90 + 22.5 = 112.5
Answer:
Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.
The surface area for the pink rectangular prism is .
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.
The surface area for the green rectangular prism is 144 .
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.
----------------------------------------
Hope this is helpful.
Answer:
undefined
Step-by-step explanation:
(-7, -7) and (-7, 1)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(1 - (-7)) / (-7 - (-7))
Simplify the parentheses.
= (1 + 7) / (-7 + 7)
Simplify the fraction.
8/0
= undefined
Our line is a vertical line, which has an undefined slope.
Hope this helps!
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