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I am Lyosha [343]
3 years ago
13

What is the midpoint of the line segment with the endpoints J(-9,-4) and K(7,8)?

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

Step-by-step explanation:

22

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Solve the inequality |3x-6|≤9
avanturin [10]
3x-6≤9
3x≤15
x≤5
so the answer is x≤5
5 0
4 years ago
What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)
SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

7 0
3 years ago
Given: AABC, AC = 5<br> m C = 90°<br> m A= 22°<br> Find: Perimeter of AABC<br> A<br> C<br> B
Leto [7]

9514 1404 393

Answer:

  perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

  Tan = Opposite/Adjacent

  Cos = Adjacent/Hypotenuse

From these, we have ...

  opposite = 5·tan(22°) ≈ 2.02

  hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

  P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

7 0
3 years ago
State one rational number between -0.45 and -0.46 (answer must be in decimal form.)
seraphim [82]

A rational number between the two given ones is -0.455, such that:

-0.45 > -0.455 > -0.46

<h3>How to find a rational number between the two given ones?</h3>

A rational number is any number that can be written as a quotient between two integer numbers.

Particularly, any number with a finite number of digits after the decimal point is also a rational number.

So to find a rational number between -0.45  and -0.46 we could se:

-0.455, such that:

-0.45 > -0.455 > -0.46

Learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

6 0
1 year ago
Given: △ABC, AB=5√2 m∠A=45°, m∠C=30° Find: BC and AC
Naddik [55]

Answer:

BC = 10, AC= approximately 13.66 OR 5+5 √3

Step-by-step explanation:

Law of Sines

5 0
3 years ago
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