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scZoUnD [109]
2 years ago
13

. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.

Mathematics
1 answer:
Anarel [89]2 years ago
5 0
  • 5v+8w

put values

  • 5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

  • -5i+10j-24i+32j
  • -5i-24i+10j+32j
  • -29i+42j

Option A

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Write the equation in standard form for the circle with center (0, -6) and radius 7.
LUCKY_DIMON [66]

Step-by-step explanation:

the equation of circle is given by

(x - h) {}^{2} + (y - k) {}^{2}  =  {r}^{2}  \\ (x - 0) {}^{2}  +  {(y + 6)}^{2}  =  {7}^{2}  \\  {x }^{2}  +  {y}^{2}  + 12y + 36 = 49 \\  {x  }^{2}  +  {y}^{2}  + 12y = 13

4 0
2 years ago
The sine of angle θ is 0.3.<br><br> What is cos(θ)?
Sergio [31]

The answer:

\sqrt{9}1 /10

Explanation to your question:

Since the sin of theta is 0.3, we can reasonably deduct that the opposite side to theta has a ration of 3 to 10 to that of the hypotenuse. Thus, the adjacent side to theta, using the pythagorean theorem, will be root91. Therefore, since the cosine of theta is the adjacent/hypotenuse, we get root 91/10

6 0
3 years ago
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
blagie [28]
The answer would be (108-20)4=22
3 0
3 years ago
Read 2 more answers
I don't get this hw problem
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

let workers=n

time=t(weeks)

t=k/n ,where k is constant .

when t=8,n=3

8=k/3

k=24

t=24/n

n   2   4   6   12

t   12   6   4    2

7 0
3 years ago
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