(0,0) represents the _____________

A line that has a rise of -34 and a run of 20.

aleksandr82 [10.1K]

Answer:

$y=-1.7x-34$

Step-by-step explanation:

An equation of a line is given $y=mx+c$ , where m is the gradient or $\frac{Rise}{Run}$

The rise indicates the change in value of y (vertical change in the graph).

The run indicates the change in value of x (horizontal change in the graph).

Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).

$m =\frac{Rise}{Run} \\ =\frac{-34}{20}\\ =-1.7$

Substitute point 1 into the graph to get the constant c.

$y=mx+c$

$-34=(-1.7)*(0)+c$

$c=-34$

∴ The equation of the line is, $y=-1.7x-34$

7 0

3 years ago

Explain the difference between using the tangent ratio to solve for a missing angle in a right triangle versus using the cotange

Lena [83]

Answer:

While determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.

Step-by-step explanation:

See the diagram attached.

Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = $\theta$ and the sides AB, BC, CA are 3, 4, 5 units respectively.

The tangent ratio of an angle $\theta$ is given by

$\tan \theta = \frac{BC}{AB} = \frac{4}{3}$

Again, the cotangent ratio of angle $\theta$ is given by

$\cot \theta = \frac{AB}{BC} = \frac{3}{4}$

Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle $\theta$ with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)

4 0

4 years ago

Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas

Keith_Richards [23]

Answer:

The gradient of $y = x^{5}$ is $\frac{dy}{dx} = 5\cdot x^{4}$ .

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let $y = x^{5}$ , then the gradient of the curve is:

$\frac{dy}{dx} = 5\cdot x^{4}$ (1)

The gradient of $y = x^{5}$ is $\frac{dy}{dx} = 5\cdot x^{4}$ .

6 0

3 years ago

Plz help me get the answer

Fantom [35]

-3y = -4x +51

y = 4/3 - 17

there you go

7 0

4 years ago

Read 2 more answers

One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.

nika2105 [10]

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Define the numbers:
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Let x be one number.
One number = x
Other number = 5x

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Construct the equation:
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5x - x = 80

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Combine like terms:
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4x = 80

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Divide by 4 on both sides:
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x = 20

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Find the 2 numbers:
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One number = x = 20
Other number = 5x = 5(20) = 100

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Answer: The two numbers in increasing order are 20 and 100.
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4 0

3 years ago

(0,0) represents the ______________