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SashulF [63]
2 years ago
15

What is the slope of a line perpendicular to the line whose equation is 4x+5y=35. Fully simplify your answer.

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer:

The slope a line perpendicular to the line whose equation is 4x+5y=35, is \frac{5}{4}.

Step-by-step explanation:

1. Solve the given equation for y.

4x+5y=35\\\\5y=35-4x\\\\\frac{5y}{5} =\frac{35}{5} -\frac{4x}{5} \\\\y =7 -\frac{4x}{5}\\\\y = -\frac{4}{5}x+7

2. Identify the slope.

The slope of a linear equation is always the number x is being multiplied for. Hence, the value of this equation is -\frac{4}{5} .

3. Find the slope of the perpendicular line.

The slope of a perpendicular line is always the multiplicative and addition reciprocal of the initial function. This means that you will have to invert and fracction, and add the inverse sign before it. Let's do it by parts:

a) Find the multiplicative reciprocal (invert the fraction).

-\frac{5}{4}

b) Put the opposite sign before the fraction.

+\frac{5}{4}

4. Express a result.

The slope a line perpendicular to the line whose equation is 4x+5y=35, is \frac{5}{4}.

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Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

h(t) = -0.08t^{2} + 1.6t + 2

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2

The initial height of the balloon is 2 feet.

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3 years ago
Find the slope of the line drawn below
Marysya12 [62]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-2}{1-1} = \frac{-5}{0}

Since division by zero is undefined then the slope of the line is undefined

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3 years ago
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Answer:

1. k=0

2. yes, result is still a polynomial.

3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)

Step-by-step explanation:

1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

for k=0 any polynomial f(x) will reduce f(k) to the constant term.

2. If we multiply a polynomial by a constant, is the result a polynomial?

Yes, If we multiply a polynomial by a constant, the result is always a polynomial.

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

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If

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then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.

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Answer:

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