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adoni [48]
3 years ago
6

A line passeses through the ponts (2, a) and (4a,5) and has a slope of 1/2 find the value of a

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0

Answer:

a=2

Step-by-step explanation:

Slope is found by (y2-y1)/(x2-x1)

Using the points, that is (5-a)/(4a-2) = 1/2

multiply both sides by the denominator 4a-2

5-a = (1/2)(4a-2)

5-a=2a-1

put like terms on opposite sides by adding a to both sides so a terms on the right, adding 1 on both sides so numbers are on the left

6=3a

divide both sides by 3

a=2

please give thanks :)

ioda3 years ago
6 0

Answer:

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmm,,,,,,,,,

Step-by-step explanation:

mmmmmmmmmmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

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A box of fruit has four times more peaches than plums.
Ugo [173]

Answer:

The number of plums = 4

The number of peaches =  16

The number of nectarines =  1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

7 0
3 years ago
Find 1 + 3 + 5 + … + 389.
user100 [1]

Answer:

The rule is +2

This is the 194th term

Step-by-step explanation:

This is an arithmetic sequence because 2 is added every time.

2x + 1 = 389

2x = 388

x = 194

194* 2 + 1 = 389

mark brainliest please!

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2 years ago
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1: 7
2: Yes, 20 because it’s isolated from the rest of the points
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Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

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3 years ago
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A factory increased its production by 22.5 % and produced 49000tonnes. How many tonnes was it producing before?
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