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2 years ago

Find the slope of the line passing through each pair of points. (9,4) and (5,-3).

Mathematics

1 answer:

rjkz [21]2 years ago

3 0

Answer:

$m=\frac{7}{4}$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

(9, 4)

(5, -3)

Step 2: Find slope m

Substitute: $m=\frac{-3-4}{5-9}$
Subtract: $m=\frac{-7}{-4}$
Simplify: $m=\frac{7}{4}$

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murzikaleks [220]

Answer:

$x-4y+4=0$

$f(x)=\sqrt x$ and x=4

Step-by-step explanation:

We are given that a curve

$y=\sqrt x$

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

$f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}$

By using the formula $\frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}$

Substitute x=4

Slope of tangent

$m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}$

In given question

$m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}$

$\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}$

By comparing we get a=4

Point-slope form

$y-y_1=m(x-x_1)$

Using the formula

The equation of tangent at point (4,2)

$y-2=\frac{1}{4}(x-4)$

$4y-8=x-4$

$x-4y-4+8=0$

$x-4y+4=0$

8 0

3 years ago

What is the degree of polynomial? With example!

Inessa [10]

Answer:

$\boxed{\mathfrak{Question ~}}$

What is the degree of polynomial?

$\large\boxed{\mathfrak{Answer}}$

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

${6x}^{4} + {2x}^{3} + 3$

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exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

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3 0

2 years ago

Read 2 more answers

Can anyone help me solve this

kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

ab = 25

log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

log₄ a/b = 3

2.- Convert the log to an exponent

a/b = 4³

a/b = 64 Equation l

ab = 25 Equation ll

3.- Solve equation l for a

a = 64b

4.- Substitute in equation ll

(64b)b = 25

-Simplify

64b² = 25

-Solve for b

b² = 25/64

b = 5/8

5.- Substitute the value of b to find a

a = 64(5/8)

-Simplification

a = 40

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3 years ago

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sasho [114]

Answer:

False

Step-by-step explanation:

It makes no sense......

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2 years ago

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dimaraw [331]

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2 years ago