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notka56 [123]
2 years ago
13

Line K is parallel to line L

Mathematics
2 answers:
wariber [46]2 years ago
7 0

Answer:

a

Step-by-step explanation:

took a test

SpyIntel [72]2 years ago
4 0

Answer:

The correct answer is A) Angle 1.

Step-by-step explanation:

We know this because they are opposite of one another. The lines don't even have to be parallel for this to be true.

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What is the quotient (3x4 + 4x – 15) + (x + 3)?
Hoochie [10]

Answer:

3x-5 and r=0

Step-by-step explanation:

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x  we will get to cancel out the first term of dividend

Now after solving we will get  

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

5 0
2 years ago
a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length of the hypotenuse
lara [203]

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

By definition, the sine of an angle is:

sin(x) = \frac{opposite\ side}{hypotenuse}

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in

Finally the length of the hypotenuse is 4.1 in

6 0
3 years ago
Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers
attashe74 [19]

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

6 0
3 years ago
A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte
kotykmax [81]

Answer:

  1. P(t) = 400×2^(t/2)
  2. 6400
  3. 5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0
3 years ago
An inconsistent system of linear equations has blank solutions and the lines graphed will blank
kvv77 [185]
An inconsistent system graphs two parallel lines. These parallel lines will never cross. Therefore there are no solutions. 
8 0
2 years ago
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