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juin [17]
4 years ago
8

Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.

Mathematics
1 answer:
Darya [45]4 years ago
5 0
Y = 2x - 1.....the slope here is 2. A parallel line will have the same slope.

y = mx + b
slope(m) = 2
(4,2)....x = 4 and y = 2
now we sub and find b, the y int
2 = 2(4) + b
2 = 8 + b
2 - 8 = b
-6 = b

ur equation is : y = 2x - 6.....but we need it in standard form...
y = 2x - 6
-2x + y = -6 ...multiply by -1
2x - y = 6 <===

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babymother [125]

Answer:

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Step-by-step explanation:

To get x by itself, you have to divide each side by the number that x is attached with.

For the first one, divide each side by 3 so that x is by itself and 21/3 is 7 to get x<7

Do the same with the other side but with 5 to get x>11

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3 years ago
Find the formula <br> Plug in values <br> Volume
Dmitriy789 [7]

Answer:

See explanations below

Step-by-step explanation:

Volume of the sphere is expressed as;

V = 4/3πr³

r is the radius

V = 4/3 * 3.14 * 3³

V = 4/3  * 3.14 * 27

V = 4 * 3.14 * 9

V = 113.04cube units

For the secind sphere;

diameter = 12

radius = 12/2 = 6

V = 4/3πr³

r is the radius

V = 4/3 * 3.14 * 6³

V = 4/3  * 3.14 * 216

V = 4 * 3.14 * 72

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5 0
3 years ago
On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to comple
Anna71 [15]
Task 1 ----- 2 \frac{1}{2}minutes
Task 2 ----- 3 min 10 sec = 3+10/60 = 3\frac{1}{6} minutes
Task 3 ----- 1 min
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In 25 minutes;

Number of items made = 25/(6 2/3) = 3.75 items = 3 items (since only a fully assembly can be regarded as an item).<span />
6 0
3 years ago
You invested $27,200 and started a business selling vases. Supplies cost $11 per
AleksAgata [21]
1,600 vases must be produced and sold to break even.

x($28-$11)=$27,200
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3 years ago
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Umnica [9.8K]
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