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1 year ago

Help I need this answer quickly

Mathematics

1 answer:

Illusion [34]1 year ago

4 0

The unit vector that is in the same direction as v is given by:

$u = \left$

<h3>How to find a vector given two points?</h3>

The vector is given by the <u>terminal point subtracted by the initial point,</u> hence:

v = (-17, 4) - (7, -9) = <-24, 13>

<h3>How to find the unit version of a vector?</h3>

Each coordinate of the vector is <u>divided by it's norm</u>.

For this vector, the norm is given by:

$|v| = \sqrt{(-24)^2 + (13)^2} = \sqrt{745}$

Hence the unit vector is:

$u = \left$

More can be learned about vectors at brainly.com/question/24606590

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You might be interested in

The distance between points (5,9) and (-7,-7)

ankoles [38]

You need to find the change in x and y

change in x = 12
change in y = 16

to find the distance you use a^2+ b^2 = c^2
or in this case x^2 + y^2 = d^2

144+256 = 400

$\sqrt{400}$

=20
so distance equals 20

I hope this helps!

4 0

3 years ago

Solve the inequality. Show your work. |4r + 8| ≥ 32

S_A_V [24]

|4r + 8| ≥ 32

Split this expression into two expressions:

First ⇒ 4r + 8 ≥ 32 and second ⇒ 4r + 8 ≤ - 32

---

First expression: 4r + 8 ≥ 32

Subtract 8 from both sides.

4r ≥ 24

Divide both sides by 4.

r ≥ 6

---

Second expression: 4r + 8 ≤ - 32

Subtract 8 from both sides.

4r ≤ -40

Divide both sides by 4.

r ≤ -10

---

Your answer is $\boxed {r \geq 6~or~ r \leq -10}$

7 0

3 years ago

Read 2 more answers

natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

$\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.$

b) In matrix form this is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)$

c) The determinant is

$\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16$

d) Find three determinants:

$\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608$

$\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368$

$\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304$

So,

$x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19$

e) If the store doubled all prices and inventory, then the new matrix is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)$

7 0

3 years ago

A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours.

julia-pushkina [17]

P=3000x e^( 1000 x 8t )is the function
t is time, so "after a hour" means that the t is 1.
The problem is asking for the population, which is P
Substitute t for 1 and you obtain:
P= 3000 x e^(1000 x 8 x 1)
P=3000e^8000

4 0

3 years ago

N + (18 - 6) = 32 who can help me?

MissTica

Answer:

Step-by-step explanation:

N + (18 - 6) = 32

Simplify bracket

N + 12 = 32

Subtract 12 from both sides to eliminate 12 on the left side

N + 12 - 12 = 32 - 12

N = 20

5 0

3 years ago