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scZoUnD [109]
3 years ago
5

If a=2, b= -1, c= -3 and d= -2 find : 1/2bc-6ac+2ab 1/4(ac)² +1/6ac

Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

34

8

Step-by-step explanation:

<u>1/2bc - 6ac + 2ab</u>

(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)

(1/2)(4) - (-36) + (-4)

2 + 36 - 4

34

<u>1/4(ac)² + 1/6ac</u>

(1/4)[(2)(-3)]² + (1/6)(2)(-3)

(1/4)(-6)² + (1/6)(-6)

(1/4)(36) + (-1)

9 - 1

8

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3 years ago
I need help for this also​
lubasha [3.4K]

Answer:

  a) h = 6 2/17

  b) k = 3 8/17

Step-by-step explanation:

We can make a list of corresponding sides:

  AB (17 cm) and DE (13 cm)

  BC (15 cm) and EC (8+k cm)

  CA (8 cm) and CD (h cm)

Because the triangles are similar, we know corresponding sides are proportional.

<h3>a)</h3>

  CD/CA = DE/AB

  h/8 = 13/17

  h = 8(13/17) = 6 2/17

__

<h3>b)</h3>

  EC/BC = DE/AB

  (8+k)/15 = 13/17

  8 +k = 15(13/17)

  k = 11 8/17 -8 = 3 8/17

5 0
2 years ago
Jamal draws triangle XYZ. If angle X=46 degrees, XZ = 10 degrees, and YZ=8 degrees, what is the approximate length of XY?
Mashutka [201]
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.

We will find the length of XY using cosine rule:

According to cosine rule:

a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒  b² = c² - a² -2bc cosA
⇒  b² = 100 - 64 - 160*cos(46)
⇒  b² = 100 - 64 - 160*0.69
⇒  b² = 100 - 64 - 110.4
⇒  b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately. 

5 0
3 years ago
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Henry can write 5 pages of his novel in 3 hours. At this rate, how many pages can Henry write in 8 hours?
Anna007 [38]

Step-by-step explanation:

3 hours =5 pages

8 hours =x

Cross multiplying

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Dividing both sides by 3

3x/3=40/3

x=13.33

To the nearest whole number Henry will write 13 pages in 8 hours

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Luden [163]

Answer:

2x

Step-by-step explanation:

Complete answer

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