The lines below are parallel. If the slope of the green line is -3, what is the
slope of the red line?
m =

Answer:

Total distance = 30m

Total displacement = 0m

Step-by-step explanation:

a) Distance is a scalar quantity that does not specify direction

Hence if a trail runner zig-zags 15m to the west and then 15m to the east, the total distance will be the sum of the distance travelled both to the west and east.

total distance =  distance through west + distance through east

total distance = 15m + 15m

total distance = 30m

Hence the runner's total distance is 30m

b) Displacement is a vector quantity and it specifies direction. Hence we will take into consideration the direction taken

Since East direction is positive, the displacement through east is +15m

Since West direction is negative, the displacement through west is -15m

Total displacement  = +15 - 15

Total displacement = 0m

Hence the runner's total displacement is 0m

Answer:

x= -1 and 5

hope that helps

The solutions to the quadratic equation [tex]4(x+2)^2=36[/tex] are x = -5 and x = 1.

Given the following data:

In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

[tex]ax^2 + bx + c =0[/tex]

Where:

Dividing both sides by 4, we have:

[tex]4(x+2)^2=36\\\\(x+2)^2=9[/tex]

Taking the square root of both sides, we have:

[tex]x+2=\pm3\\\\x=\pm 3-2[/tex]

x = -5 or 1.

Read more on quadratic equation here: brainly.com/question/1214333

Answer:

I think the most upright answer would be D

Step-by-step explanation:

Answer:

The function stated by Tucker is incorrect.

V(t) = 4600(0.8)^t

Step-by-step explanation:

Given the function :

V(t)=4,600(0.4)2t

The initial value of equipment = 4600

Decay rate = 40% of very 2 years

The value of equipment t years after purchase

The exponential decat function goes thus :

V(t) = Initial value * (1 - decay rate)^t

The Decay rate per year = 40% /2 = 20% = 0.2

V(t) = 4600(1 - 0.2)^t

V(t) = 4600(0.8)^t

Answer:

Step-by-step explanation:

Common difference = 5

a₁ = 24

a₆ = a₁ + (6-1)5 = 49

Answer:

(f + g)(x) = x² + x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 1 - x

g(x) = x² + 2x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Solve

Answer:

$13.04

Step-by-step explanation:

First, multiply 16.89 by 1.2, 0.6, and 1.0725. You should get a weird number on your calculator saying 13.042458, but just round 2 to the 4 ( 4 stays the same) and remove all the other numbers to get $13.04

Answer:

3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.

because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.

Step-by-step explanation:

P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19

= 0.013 (nearest thousandth)

Answer: 0.01

Step-by-step explanation:

the person above did it wrong, this answer is for sure correct.

Answer:

1=140  2=9  3=19

Step-by-step explanation:

Answer:

1=140
2=9
3=19

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The closest angle to F in the triangle is 52 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.

We can use the tangent function to find the measure of angle F:

tan(F) = opposite/adjacent = 18/14

we can find the inverse tangent of this value:

F = tan⁻¹(18/14)

= tan⁻¹(1.28)

F= 52.15°

Hence, the closest angle to F in the triangle is 52 degrees.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Answer:

  (x +6)² +(y +3)² = 36

Step-by-step explanation:

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

We have a circle with diameter 12, so its radius is 6. The center is given as (h, k) = (-6, -3), so the equation can be written ...

  (x -(-6))² +(y -(-3))² = 6²

Simplifying this a suitable amount, we have the equation ...

  (x +6)² +(y +3)² = 36

Answer:

(a) His speed when he runs from C to A is [tex]4.\overline {285714}[/tex] m/s

(i) The bearing of B from A is approximately 127.18°

(ii) The bearing of A from B is approximately 307.18°

Step-by-step explanation:

(a) The given parameters are;

The distance from A to B = 120 m

The speed with which Olay runs from A to B, v₁ = 4 m/s

The distance from B to C = 180 m

The speed with which Olay runs from B to C, v₂ = 3 m/s

The distance from C to A = 150 m

His average speed for the whole journey = 3.6 m/s

We find

The total distance of running from A back to A, d = 120 m + 180 m + 150 m = 450 m

The time it takes to run from A to B, t₁ = 120 m/(4m/s) = 30 seconds

The time it takes to run from B to C, t₂ = 180 m/(3m/s) = 60 seconds

Let t₃ represent the time it takes Olay to run from C to A

We have;

The total time it takes to run from A back to A = t₁ + t₂ + t₃

Therefore;

[tex]Average \ velocity = \dfrac{Total \ distance }{Total \ time} = \dfrac{d}{t_1 + t_2 + t_3}[/tex]

Substituting the known values for the average velocity, 'd', 't₁' and 't₂'  gives;

[tex]Average \ velocity = 3.6 \, m/s = \dfrac{450 \, m}{30 \, s + 60 \, s + t_3}[/tex]

3.6 m/s × (30 s + 60 s + t₃) = 450 m

3.6 m/s × 30 s + 3.6 m/s × 60 s + 3.6 m/s × t₃ = 450 m

108 m + 216 m + 3.6 m/s × t₃ = 450 m

∴ 3.6 m/s × t₃ = 450 m - (108 m + 216 m) = 126 m

t₃ = 126 m/(3.6 m/s) = 35 s

The speed with which Olay runs from C to A, v₃ = Distance from C to A/t₃

The speed with which he runs from C to A = 150 m/(35 s) = 30/7 m/s =[tex]4.\overline {285714}[/tex] m/s

(i) The given bearing of C from A = 210°

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

∴ cos(A) = (b² + c² - a²)/(2·b·c)

Where;

a = The distance from B to C = 180 m

b = The distance from C to A = 150 m

c = The distance from A to B = 120 m

We find;

cos(A) = (150² + 120² - 180²)/(2 × 150 × 120) = 0.125

A = arccos(0.125) ≈ 82.82°

The bearing of B from A ≈ 210° - 82.82° ≈ 127.18°

The bearing of B from A ≈ 127.18°

(ii) The angle, θ, formed by the path of the bearing of A from B is an alternate to the supplementary angle of the bearing of B from A

Therefore, we have;

θ ≈ 180°- 127.18° ≈ 52.82°

The bearing of A from B = The sum of angle at a point less θ

∴ The bearing of A from B = 360° - 52.82° ≈ 307.18°

The bearing of A from B ≈ 307.18°.

Answer:

y = -2x  + 7

Step-by-step explanation:

When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as

m1m2 = -1

Given the line

y = 1/2 x + 8

Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept

m = m1 = 1/2

Hence the slope of the perpendicular line m2

= -1/1/2

= -2

Given that the line passes through the points (1,5)

using the equation

y - y1 = m (x - x1)

y - 5 = -2(x - 1)

y = -2x +2 + 5

y = -2x  + 7

Answer:

13.9% Approximately

Answer:

the answer is A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation

Answer: 140cm^3

Step-by-step explanation:

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

Answer:

Step-by-step explanation:

Answer:

12 in^2

Step-by-step explanation:

Answer: 12in^2

Step-by-step explanation:

Answer:

Option 1: 4h

Step-by-step explanation:

perimeter of square = 4 × length

h × 4 = 4h

Answer:

10.2 cm

Step-by-step explanation:

Divide the tail length by 10

HoPe ThIs HeLpEd youuu! lol :)

Answer: 10.2 cm

Hope this helped! :D

Answer:

SHe has walked 2 more miles more than the other person

Step-by-step explanation:

Answer:

11.72sq.m

Step-by-step explanation:

Area of the shaded region = Area o triangle - Area of the semicircle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 6

Area of triangle = 3 * 6

Area of triangle = 18sq. m

Area of semicircle = πr²/2

r is the radius =  2m

Area of semicircle = π(2)²/2

Area of semicircle = 2(3.14)

Area of semicircle = 6.28sq. m

Area of the shaded region = 18 - 6.28

Area of the shaded region = 11.72sq.m

Answer:

Malcolm owes the greatest amount.

Step-by-step explanation:

The question is asking for the amount owed by each person. That just means you take the absolute value of their bank balance if their bank balance is negative. Absolute value is just how far away the number is from zero (basically when a number is negative, you're just making it positive).

Sophia owes $150, Malcolm owes $325, and Oren owes $275.

325 > 275 > 150

Thus Malcolm owes the most, since his amount owed is the highest.

Answer:

C. y = -x + 2

Step-by-step explanation:

Sana nakatulong

Answer:

s = 3

Step-by-step explanation:

The volume formula for a cube is V = s^3, where “s” is the edge length. Since we know the volume and need to find “s,” we just do the inverse operation for an exponent, which is a radical. The cubed root of 27 is 3, so there’s your answer! Hope this is helpful & accurate. Best wishes.