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Ksenya-84 [330]
3 years ago
7

two boys move simultaneously towards each other from two objects located at a distance of 7.5km. The speed of one is as much as

2/3 of the speed of the other. Find the speeds of each if they meet after 1.5 hours
Mathematics
1 answer:
dusya [7]3 years ago
6 0
Down open that link, it’s a virus
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Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
7y + 4x + 4 - 2x + 8 what is the constant
N76 [4]
4 and 8::::::: because they have no variable u can add 4 and 8 which would be 12
3 0
3 years ago
What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL
aalyn [17]

Answer:

Step-by-step explanation:

To solve this we should use the Euclidean division :

  • Our polynomial function is 16-2x³-6x²+x+9=-2x³-6x²+x+9
  • we should divided by :  4+3x-2=3x+2 and see the rest

Here is a picture with the operation

  • the rest is 47/9 so the number I SHOULD SUBSTACT IS 47/9

8 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
valentinak56 [21]

Answer:

tan(θ) = 0, 0.577, -0.577

Step-by-step explanation:

3tan³(θ) - tan(θ) = 0

tan(θ)(3tan²(θ) - 1) = 0

tan(θ) = 0

tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)

tan(θ) = 0, sqrt(⅓), -sqrt(⅓)

tan(θ) = 0, 0.577, -0.577

To find θ values, domain is required

6 0
3 years ago
Find the exact area of a circle with a dimeter of 5 yards. Use 3.14 for pi
kenny6666 [7]

Answer:

A = 6.25(pi)

A ~ 19.63495

Step-by-step explanation:

The formula for finding the area of a circle is;

A = (pi)r^2

Where (A) represents the area of the circle, (pi) represents the value (3.1415...) and (r) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.

This means that the radius for the given circle is (2.5), since (5÷2=2.5)

Substitute these values into the equation and solve for the area of the circle.

A = (pi)r^2\\\\A = (pi)(2.5)^2\\\\A = (pi)6.25\\

A ~ 19.63495

7 0
3 years ago
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