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3 years ago

What is the value of n in 7 + n/2 = 10

Mathematics

1 answer:

Goryan [66]3 years ago

8 0

Hello!!

$\frac{n}{2} + 7 = 10$

n + 14 = 20

n = 6

Good luck :)

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Find a.b. a=3i+2j-k, b=4i+5k

Tomtit [17]

Answer: $a\cdot b= 7$

Step-by-step explanation:

We are given

$a=3\hat{i}+2\hat{j}-\hat{k}$

$b=4\hat{i}+5\hat{k}$

They can be written as

$a=3\hat{i}+2\hat{j}+(-1)\hat{k}$

$b=4\hat{i}+0.\hat{j}+5\hat{k}$

Now , the dot product of and b is given by :-

$\Rightarrow\ a\cdot b= (3\hat{i}+2\hat{j}+(-1)\hat{k})\cdot(4\hat{i}+0.\hat{j}+5\hat{k})$

$\Rightarrow\ a\cdot b=3\cdot 4 \cdot\hat{i}\cdot\hat{i}+2\cdot0\cdot\hat{j} \cdot\hat{j}+ (-1)\cdot 5 \cdot \hat{k}\cdot \hat{k}$

$\Rightarrow\ a\cdot b=12 \cdot\hat{i}^2+0-5 \cdot \hat{k}^2$

$\Rightarrow\ a\cdot b=12 \cdot(1)+0-5 \cdot (1)$ [Since $\hat{i}^2=\hat{k}^2=1$ ]

$\Rightarrow\ a\cdot b=12 -5=7$

Therefore , the value of the dot product $a\cdot b= 7$

5 0

3 years ago

Y = 2/3x - 2<br> y = -x + 3<br> Please and quickly

umka2103 [35]

-x+3=2/3x-2
3=4/3x - 2
5=4/3x
X= about 3.846

4 0

3 years ago

a pair of dice is rolled. the observation is the number that comes up on each die. the event, e, is “the sum of the dice is eith

Tems11 [23]

Answer:

well I'm sure if this is entirely correct but i would say it would be 12

Step-by-step explanation:

3 0

3 years ago

A department store has average daily sales of $29,876.76. The standard deviation of sales is $1000. On Tuesday, the store sold $

Furkat [3]

This should be the correct answer. i hope this helps you out.

have a nice and wonderful day :)

3 0

3 years ago

Read 2 more answers

Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.

Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = $\frac{3}{4}$ x - 3 ← in slope- intercept form

with slope m = $\frac{3}{4}$

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - $\frac{4}{3}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{4}{3}$

Then

$\frac{3}{4}$ × - $\frac{4}{3}$ = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0

3 years ago