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4vir4ik [10]
2 years ago
8

What is the solution to 5(w-2)=-10

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0

Answer:

w=0

Step-by-step explanation:

5(w-2)=-10

5w-10= -10

     +10   +10

5w=0

÷5   ÷5

w=0

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Find the gradient of the line segement between the points (0,-6) and (2,-16)
yulyashka [42]

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

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7 0
2 years ago
Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

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In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

6 0
3 years ago
Is the result of a-b a polynomial?
yuradex [85]

Answer:hhhhh

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2 years ago
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Rina8888 [55]

Answer:

since those 2 lines are parrelel that means the angles are the same so

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7 0
1 year ago
Read 2 more answers
8x - 14 = 7.7x + 3x
djverab [1.8K]

Answer:

x=5.2

Step-by-step explanation:

8x−14=7.7x+3x

Step 1: Simplify both sides of the equation.

8x−14=7.7x+3x

8x+−14=7.7x+3x

8x−14=(7.7x+3x)(Combine Like Terms)

8x−14=10.7x

8x−14=10.7x

Step 2: Subtract 10.7x from both sides.

8x−14−10.7x=10.7x−10.7x

−2.7x−14=0

Step 3: Add 14 to both sides.

−2.7x−14+14=0+14

−2.7x=14

Step 4: Divide both sides by -2.7.

−2.7x /−2.7  = 14 /−2.7

x=−5.185185 or 5.2

3 0
3 years ago
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