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Andre45 [30]
3 years ago
6

Simplify -3w-5(4x-4w)-4x​

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

-3w-5(4x-4w)-4x

multiply the bracket by -5

(-5)(4x)=-20x

(-5)(-4w)=20w

-3w-20x+20w-4x

-3w+20w-20x-4x ( combine like terms)

answer:

17w-24x or -24x+17w

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Express the set -4x+21 ≤ 3x +14 using interval notation
KATRIN_1 [288]

Answer:

[1, ∞)

Step-by-step explanation:

1) Solve for x

-4x + 21 \leq 3x + 14

21 \leq 7x + 14

7 \leq 7x

1 \leq x

2) 1 is the lowest possible value of x and since it's a smaller or equal to inequality, you use a square bracket. If it was 1 < x, it would be a round bracket. Since there isn't a boundary for the highest value of x, you write an infinity. When you have an infinity, it's always a round bracket.

7 0
3 years ago
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Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

6 0
4 years ago
Find the missing angle measure. then classify the triangle by its angles and by its sides.
iren [92.7K]

Answer:

Part a) The measure of the missing angle is 90\°

Part b) The triangle of the figure is a right triangle

Part c) The triangle of the figure is a scalene triangle

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle is equal to 180\°

so

Let

x------> the missing angle

we know that

x\°+50\°+40\°=180\°

solve for x

x=180\°-90\°=90\°

The triangle of the figure is a right triangle --------> by its angles

Because the triangle has an angle measure of 90\°

The triangle of the figure is a scalene triangle --------> by its sides

Because the three angles and the three sides measures are different

8 0
4 years ago
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Graph the circle (x-8)^2 + (y+5)^2 = 4
Kobotan [32]

Answer:

The answer to your question is See the attachment

Step-by-step explanation:

Equation

             (x - 8)² + (y + 5)² = 4

Process

1.- Write the standard equation of the circle

            (x - h)² + (y - k)² = r²

2.- Find the center

The center are the letters h and k

      h = 8  k = -5

3.- Find the radius

      r = 2

4.- Graph the circle ( i will use geogebra)

See below

3 0
3 years ago
Of the labeled points, which represents the animal
Paha777 [63]

The ratio of life expectancy to gestation period is greatest at point (A) A.

<h3>What is life expectancy?</h3>
  • Life expectancy is a statistical measure of how long an organism is expected to live based on its birth year, current age, and other demographic factors such as gender.
  • The most commonly used metric is life expectancy at birth (LEB), which has two definitions.

To find the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest:

  • The graph below shows life expectancy on the y-axis and gestation period on the x-axis.
  • The life expectancy to gestation period ratio for point A is 7/22.5 = 14/45.
  • For point B, the ratio is 8/45.
  • Because the y coordinate is greater at Y than at X, which has the same x coordinate, we only consider the ratio at D, which is 10/51.
  • Since 14/45 > 8/45, we only have to compare 14/45 and 10/51.
  • So, 14 × 51 = 714 and 45 × 10 = 450.
  • Then, 14/45 > 10/51.

Therefore, the ratio of life expectancy to gestation period is greatest at point (A) A.

Know more about life expectancy here:

brainly.com/question/4648168

#SPJ4

The correct question is given below:
Of the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest?

A) A

B) B

C) C

D) D

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