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timofeeve [1]
2 years ago
15

Please help and show work

Mathematics
1 answer:
shepuryov [24]2 years ago
5 0
What’s the question????
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If u = <-7, 6> and v = <-4, 17>, which vector can be added to u + 3v to get the unit vector <1, 0> as the resu
ivann1987 [24]

With u = <-7, 6> and v = <-4, 17>, we have

u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>

We want to find a vector w such that

u + 3v + w = <1, 0>

Subtract u + 3v from both sides to get

w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>

w = <20, -57>

7 0
3 years ago
A set of equations is given below:
Hunter-Best [27]
If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:

c = 2d + 1
c = 3d + 5
__________
c = c
2d + 1 = 3d + 5
2d - 3d = 5 - 1
- d = 4
d = -4

The correct result would be <span>2d + 1 = 3d + 5.</span>
8 0
3 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
What is the sum of the infinite series: 1-4+16-64+. . .
Andrei [34K]

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

5 0
3 years ago
Y=-3x+5 5x-5y=-3by substitution​
Reptile [31]

Answer:

Y = − 3 x + 5 5 x − 5 y = - 3

Step-by-step explanation:

the question is already substituted

5 0
2 years ago
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