One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
Remember that
The formula to calculate the slope between two points is equal to
<em>Find the slope of the first line</em>
we have the points
(-3,-1) and (1,-9)
substitute in the formula
<em>Find the slope of the second line</em>
we have the points
(1,4) and (5,6)
substitute in the formula
Simplify
<em>Compare the slopes</em>
Find out the product
therefore
The lines are perpendicular
Answer:
See below ↓↓
Step-by-step explanation:
<u>Finding the radius</u>
- C = 2πr
- 25 = 2 x 3.14 x r
- r = 25 / 6.28
- r = 3.98 cm ≅ 4 cm
<u />
<u>Surface Area</u>
- 4πr²
- 4 x 3.14 x 4 x 4
- 3.14 x 64
- 200.96
- <u>201 cm²</u>
<u></u>
<u>Volume</u>
- 4/3πr³ = 4πr² x r/3
- 201 x 4/3
- 67 x 4
- <u>268 cm³</u>
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
- <u>f(-3)</u>
2. <u>f(4)</u>
3. <u>x when f(x) = 5</u>
4. <u>x when f(x) = -3</u>
Answer:
If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day
will be 
.
Step-by-step explanation:
From the question, it is clear that
- If ‘A’ can finish a work in ‘n’ days, then
- we have to determine the part of work finished in 1 day.
So
let '
' be the number of days 
takes to complete the whole work
Let the whole job be denoted as '
'
Thus, the part of work finished in 1 day will be:
Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be .
Keywords: work, word problem
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Answer:
x=20
Step-by-step explanation:
x - 5 = 15
x +5 = +5
x = 20
