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andreyandreev [35.5K]
2 years ago
6

HELPPPPPPPPP! fast please will mark first as brainliest!

Mathematics
2 answers:
MA_775_DIABLO [31]2 years ago
8 0

Answer:

B

Step-by-step explanation:

We have

- 4 \sin(7t + 3)

Here the value of a is always positive because distance is positive

| - 4|  = 4

Next, we factor out 7 to get our period

- 4 \sin(7(t +  \frac{3}{7} ) )

So our period is

\frac{2\pi}{7}

Next, our phase shift we set the inner parenthesis equal to 0.

t +  \frac{3}{7}  = 0

t =  -  \frac{3}{7}

So our phase shift is -3/7

gtnhenbr [62]2 years ago
4 0

Answer:

The answer is B

Step-by-step explanation:

B is correct

amplitude:4

Period 2pi/7

phase shift: -3/7

Happy to help :)

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Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions c
Natasha2012 [34]

Answer: A

Step-by-step explanation:

5 0
3 years ago
Mr. Dash recorded the odometer
Ahat [919]

Answer:

  • $47.69

Step-by-step explanation:

<u>Total miles per trip:</u>

  • 23219.1 - 23125.6 = 93.5 miles

<u>Amount reimbursed:</u>

  • 93.5*$0.51 = $47.69
6 0
2 years ago
the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from
Aleks [24]

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

5 0
3 years ago
Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
  • The y-intercept means the line intersect the y-axis at point (0 , b)

A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

  one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

  of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

  are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

D.

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

6 0
2 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
e-lub [12.9K]
The answer is:
a = c ÷ 2
b = P - a - c

The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.

It is given: 
P = 14.5 cm
c = 6.2 cm

If, t<span>he longest side (c) is twice that of the shortest side (a), then
c = 2a
</span><span>Therefore, the equation that can be used to find the length of the shortest side is <u>a = c ÷ 2</u>.</span><span>

</span>⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm

By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then <span>the equation that can be used to find the length of the side b is <u>b = P - a - c</u>.

</span>⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm<span>
</span>
6 0
2 years ago
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