Answer:
Slope of l:
0.5
Slope of m:
✔-0.75
Step-by-step explanation:
Line l:
y - 4 = 0.5(x - 1)
Line m:
y - 5 = -0.75(x - 43)
last part is Line l:
y = 0.5x + 3.5
Line m:
y = -0.75x + 37.25
Answer:
(Did it on edge)
Step-by-step explanation:
The given expression of inequality can be solved as h < -9.
Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is as below,
9h + 2 < –79.
It can be solved as follows,
9h + 2 < –79
Subtract 2 from both sides to get,
9h + 2 - 2 < –79 - 2
⇒ 9h < -81
Divide by 9 on both sides as,
9h ÷ 9 < -81 ÷ 9
⇒ h < -9
Hence, the solution of the given inequality is h < -9.
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Answer:
Step-by-step explanation:
3 plus 3 is not 13
Answer:
384 lamps
Step-by-step explanation:
This is simply a multiplication problem. From the question, we know that each fixture needs 4 lamps with a single room needing 16 fixtures.
The number of lamps required by each room is thus 16 * 4 = 64 lamps
Now, the total number of lamps required by 6 rooms is thus 64 * 6 = 384 lamps
To find the total number of lamps required for 6 rooms, multiply the number of fixtures per room by the number of rooms, then multiply the result by the number of lamps per fixture.
To find the total number of lamps required for 6 rooms, we need to first determine the number of fixtures in 6 rooms. Since each room requires 16 fixtures, the total number of fixtures in 6 rooms would be 16 x 6 = 96 fixtures.
Each fixture requires 4 lamps, so to find the total number of lamps required for 96 fixtures, we multiply 96 x 4 = 384 lamps.
Therefore, 384 lamps will be required for 6 rooms.
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Answer:
a₁ = 707 a₂ = 713
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
a₁ is the first term, d the common difference , n the term number
given
a₅₀ = 1001 , then
a₁ + 49d = 1001 ← substitute d = 6
a₁ + 49(6) = 1001
a₁ + 294 = 1001 ( subtract 294 from both sides )
a₁ = 707
and a₂ = a₁ + d = 707 + 6 = 713