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forsale [732]
3 years ago
10

Write PQ−⇀− with P(2,−4) and Q(3,6) in component form.

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

1,10

Step-by-step explanation:

The initial point of the vector is P(2,−4) and the terminal point of the vector is Q(3,6).

Subtract the coordinates of the initial point from the coordinates of the terminal point.

PQ−⇀−=<xQ−xP,yQ−yP>

Substitute the coordinates of the given points.

PQ−⇀−=<3−2,6−(−4)>

Simplify.

PQ−⇀−=<1,10>

Therefore, the component form of vector PQ−⇀− is <1,10>.

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hoa [83]

Let T,S be the number of days spent at Tahoe and San Francisco, respectively.

We don't know the values of T and S yet, but we know that the holiday lasted 9 days:

T+S=9

We also know that each day spent in Tahoe costed 350 and each day spent in San Francisco costed 475. So, the total cost of the holiday is the sum of the number of days muliplied by their cost:

350T+475S=3650

If we put the two equations together, we have the system

\begin{cases}T+S=9\\350T+475S=3650\end{cases}

Which yields

S=4,\quad T=5

5 0
3 years ago
Amelia and 2 of her friends went out to lunch. Each girl ordered exactly the same meal. The total cost was $55.08,which included
Murrr4er [49]
Possibly $16.89 because you multiply 55.08 and .08 to find 4.41 then you subtract that to 55.08 to find the total cost without tax which is 50.67. Then you divide by 3 because there are 3 girls to 16.89.
4 0
3 years ago
-30 + 5a &lt; 16<br> A. a 9.2<br> C.<br> a &lt; 9.2<br> a&gt; -2.8<br> a &lt; -2.8
Goryan [66]

Answer:

-30 + 5a < 16

5a < 46

a  <   \frac{46}{5}

a < 9.2

Hope this help...

4 0
3 years ago
Nicole bought a $3,200 computer on the installment plan. She made a $300 down payment, and
marishachu [46]

Answer:

3,200??

Step-by-step explanation:

It asked at the end what the total amount paid was but it says it right at the top. "Nicole bought a $3,200 computer...")

7 0
3 years ago
I need help can u help me please and thanks
son4ous [18]

Answer:

  17.74

Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

  \dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74

Then the number of interest is ...

  17 37/50 = 17 74/100 = 17.74

3 0
3 years ago
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