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yaroslaw [1]
2 years ago
7

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
3 0

Answer:

\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have the slope m=\dfrac{1}{2} and the point (-2, 4).

Substitute:

y-4=\dfrac{1}{2}(x-(-2))

y-4=\dfrac{1}{2}(x+2) - point-slope form

Convert to the slope-intercept form (y = mx + b):

y-4=\dfrac{1}{2}(x+2)      <em>   use the distributive property</em>

y-4=\dfrac{1}{2}x+1         <em>add 4 to both sides</em>

y=\dfrac{1}{2}x+5 - slope-intercept form

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To find the volume of this one we need to break it down 
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but first lets find the volume of the rectangle...
In order to find the Volume of a rectangle we need to use this formula...
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lets solve:)
10 x 6 x 8 = 480
or we write it like this 
480in³

now time to find the volume of the half cylinder:)
But first lets remember the volume for a cylinder
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So lets find our measurements 
\pi = 3.14
r² = 5² or 25
h = 6 
so lets plug in our values just like our formula said:)
3.14 x 25 x 6 
now lets easily solve 
<span>3.14 x 25 x 6 = 471
</span>now since we found an entire cylinder and we only want half of a cylinder lets divide our answer in half
471 ÷ 2 = 235.5
so we write it like this 235.5units³
But we have to add both of our multiples together so lets do that
Volume of rectangle = <span>480in³
</span>volume of half sphere = 235.5units³
480 + 235.5 = 715.5
answer = 715.5units³
I hope this helped and everyone learned something new
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sukhopar [10]

Answer:

Conditional relative frequency = 0.67

Step-by-step explanation:

               50% off        Buy 1, get 1 free      Total

Item 1         12                       8                      20

Item 2         20                      10                     30

Total           32                      18                     50

Condition relative frequency table:

               50% off        Buy 1, get 1 free      Total

Item 1         \frac{12}{20}=0.6             \frac{8}{20}=0.4            \frac{20}{20}=1

Item 2        \frac{20}{30}=0.67           \frac{10}{30}=0.33          \frac{30}{30}=1

Total            \frac{32}{50}=0.64           \frac{18}{50}=0.36          \frac{50}{50}=1

Therefore, conditional relative frequency of selling an item marked 50% off, provided the item sold is item 2 = 0.67

8 0
3 years ago
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