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2 years ago

Can you help me please

Mathematics

1 answer:

adoni [48]2 years ago

3 0

Answer:

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

$2u = 2(5,1) = (10,2)$

$-3v = -3(6,2) = (-18,-6)$

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

$u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)$

And

$3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)$

Hence,

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

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Choose the linear inequality that describes the graph. The gray area represents the shaded region.

jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be

$\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}$

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0

2 years ago

The histogram displays how many students are in each classroom during homeroom. What percentage of classrooms have 25 students o

Lelechka [254]

Answer:

its 40% but since it's not there it could be 45%

Step-by-step explanation:

hope this helps

3 0

3 years ago

Read 2 more answers

(-y+5•3)+7.2y-9)=6.2y+n

kramer

(-y+5x3)+(7.2y-9)=6.2y+n
(-y+15)+(7.2y-9)=6.2y+n
since you're adding the two parentheses, you don't need to have them there
-y+15+7.2y-9=6.2y+n
7.2y-y +15-9 =6.2y+n
6.2y + 6 =6.2y+n
6.2y - 6.2y -n = -6
-n=-6
n=6

3 0

2 years ago

Solve the quadratic equation by completing the square.

Step2247 [10]

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1 b = -2 c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

6 0

3 years ago

A study of commuting times reports the travel times to work of a random sample of 1010 employed adults in Chicago. The mean is x

MrMuchimi

Answer:

standard error of the mean = 1.6960

Step-by-step explanation:

Given -

Mean $(\overline{X})$ = 53 minutes

Standard deviation ( s ) = 53.9 minutes

n = 1010

standard error of the mean =

$\sigma _{\overline{X}}$ = $\frac{s}{\sqrt{n}}$

= $\frac{53.9}{\sqrt{1010}}$

= 1.6960

3 0

3 years ago

Can you help me please ​

Can you help me please