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insens350 [35]
3 years ago
5

V = 3i – 5j and w = -7i + 4j , find 3v – 4w​?

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0
3v - 4w
3(3i-5j) - 4(-7i+4j)
= (9i-15j) - (-28i+16j)
Part 1) 9i - - 28i = 9i + 28i = 37i
Part 2) -15j - 16j = -31j

Answer: 37i - 31j
astraxan [27]3 years ago
4 0

Answer:

5i - 45j

Step-by-step explanation:

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a swimming pool is 130 feet long and the length is 3 times the width plus 10 feet. Let x be the width of the pool. how wide is t
kondor19780726 [428]

Answer:Perimeter of a rectangle is 2*the length plus 2*the width

P = 2L + 2W and P = 130, so

L + W = 65

Three times the length is equal to 10 times the width, giving

3L = 10W

Substituting into the above for L = 65 – W,

3(65 – W) = 10W

195 – 3W = 10W

195 = 13W

W = 195/13 = 15

W = 15 yards,

And L = (10/3)W = (10/3)*15 = 50

L = 50 yards

Step-by-step explanation:

5 0
3 years ago
Mango farm contains 1250 mango trees. Each tree produces an average of 160 Mango’s during the summer how many such mango forms a
serious [3.7K]

If a farm contains 1250 trees, and each tree produces 160 mangoes, the farm produces

1250 \times 160 = 200000

This means that k farms produce 200000k mangoes.

If you want 1 million mangoes, you must solve the equation

200000k = 1000000 \implies k = \cfrac{1000000}{200000} = 5

So, you need 5 farms.

7 0
3 years ago
Two upward forces are acting on a bolt. One force of 60.5lb acts at an angle of 82.4 above the horizontal and the other force of
Lera25 [3.4K]

Answer:

Fv = 79.63 lb

The total upward force Fv is 79.63 lb

Step-by-step explanation:

We need to determine the total upward force, the y component of force;

Given;

Force F1 = 60.5 lb, 82.4° above horizontal

Force F2 = 37.2 lb, (82.4-50.5)° above horizontal

The vertical component of Force F1 and F2 is;

Fv = 60.5sin(82.4) + 37.2sin(82.4-50.5)

Fv = 79.63 lb

The total upward force Fv is 79.63 lb

6 0
3 years ago
The length of a rectangular field is 24 meters this is 3 meters less than twice the width find the width
stepladder [879]

Answer:

The width is 5 meters

Step-by-step explanation:

The rectangular field is 24 meaning adding just one width and length of the rectangle would be 12.

x = width

2x - 3 + x = 12

3x - 3 = 12

3x - 3 + 3 = 12 + 3

3x = 15

x = 5

5 0
3 years ago
Which are the solutions of the quadratic equation? x2 = 9x + 6
Lelechka [254]
X^2 = 9x + 6
x^2 - 9x - 6 = 0
use quadratic formula : (-b (+-) sqrt b^2 - 4ac) / (2a)
a = 1, b = -9, c = -6
now we sub

x = (-(-9) (+-) sqrt -9^2 - 4(1)(-6)) / 2(1)
x = 9 (+-) sqrt 81 + 24)/2
x = 9 (+-) sqrt 105) / 2
x = 9/2 + 1/2 sqrt 105 or x = 9/2 - 1/2 sqrt 105

8 0
4 years ago
Read 2 more answers
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