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navik [9.2K]
3 years ago
8

......................

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

the distance between the 2 points is 6.4 units.

Step-by-step explanation:

point 1 has the coordinates (-4, -2).

point 2 has the coordinates (1, 2).

the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.

so, how long is the difference in x dimension ?

and his long is the difference in y dimension ?

these are the sides of the triangle.

the difference in x dimension :

1 - -4 = 1 + 4 = 5

the difference in y dimension :

2 - -2 = 2 + 2 = 4

P1P2² = 4² + 5² = 16 + 25 = 41

P1P2 = sqrt(41) = 6.4

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Which fraction and decimal forms match the long division problem?
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Answer:

Option B and D .....

If the provide option is correct

Or else it should be 7/9 and 0.777

mark me as brainliest ❤️

4 0
3 years ago
134 A financial analyst believes that if interest rates decrease in a given period then the
lawyer [7]

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down  = 0.08 X 0.40 = 0.03

To learn more about probability, please check: brainly.com/question/13234031

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5 0
2 years ago
QUESTION Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm.
STALIN [3.7K]
4.3 bc it’s right and i did the assignment
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3 years ago
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or
EleoNora [17]

Answer:

18/38 or 9/19

Step-by-step explanation:

18 squares are red

18 squares are black

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5 0
2 years ago
Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0​
creativ13 [48]

Applying the differentiation rule, it can be obtained that:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

\frac{d}{dt}(e^{mt})=me^{mt}.

Given that r(t)=(e^t,e^{2t}).

So, differentiating r(t)=(e^t,e^{2t}) with respect to t, we get: r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right).

So, using the above formula \frac{d}{dt}(e^{mt})=me^{mt}, we get: r'(t)=(e^t,2e^{2t}).

Now, substituting t=t_0=0 in r(t)=(e^t,e^{2t}) and r'(t)=(e^t,2e^{2t}), we obtain:

r(t_0=0)=(e^0,e^{2\times 0})=(1,1) and r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2).

Therefore, applying the differentiation rule, we get:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

To know about the differentiation rule, refer:

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1 year ago
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