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3 years ago

Determine the slope of the line that passes through the points (-4, 6) and (0, 4).

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

The slope of the line that passes through those points is: B) -1/2

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Please help. I will give brainliest and all my points.

V125BC [204]

Answer alternate exterior angles theorem

Step-by-step explanation

just do it

7 0

3 years ago

Help with b please. thank you

erastovalidia [21]

Answer:

See explanation.

General Formulas and Concepts:

Algebra I

Terms/Coefficients
Factoring

Algebra II

Polynomial Long Division

Pre-Calculus

Parametrics

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Parametric Differentiation: $\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle x = 2t - \frac{1}{t}$

$\displaystyle y = t + \frac{4}{t}$

Step 2: Find Derivative

[x] Differentiate [Basic Power Rule and Quotient Rule]: $\displaystyle \frac{dx}{dt} = 2 + \frac{1}{t^2}$
[y] Differentiate [Basic Power Rule and Quotient Rule]: $\displaystyle \frac{dy}{dt} = 1 - \frac{4}{t^2}$
Substitute in variables [Parametric Derivative]: $\displaystyle \frac{dy}{dx} = \frac{1 - \frac{4}{t^2}}{2 + \frac{1}{t^2}}$
[Parametric Derivative] Simplify: $\displaystyle \frac{dy}{dx} = \frac{t^2 - 4}{2t^2 + 1}$
[Parametric Derivative] Polynomial Long Division: $\displaystyle \frac{dy}{dx} = \frac{1}{2} - \frac{7}{2(2t^2 - 1)}$
[Parametric Derivative] Factor: $\displaystyle \frac{dy}{dx} = \frac{1}{2} \bigg( 1 - \frac{9}{2t^2 + 1} \bigg)$

Here we see that if we increase our values for t, our derivative would get closer and closer to 0.5 but never actually reaching it. Another way to approach it is to take the limit of the derivative as t approaches to infinity. Hence $\displaystyle \frac{dy}{dx} < \frac{1}{2}$ .

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametrics

Book: College Calculus 10e

7 0

3 years ago

Helppppp idk how to do that?

frozen [14]

Answer: a). 136 degree. b). A kite

Explanation:

360 = POR + OPT + ORT + 44

OPT = ORT = 90 (line TP and TR tangent to the circle)

360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136

B). OPTR is a kite because OP = OR and TP = TR

Definition of a kite:

A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.

3 0

3 years ago

How do you check your work after finding x

Sergio039 [100]

Answer:

replace the x with (*answer)

example 2x+5=13

say your answer is 4 then change it to 2(4)+5=13

and solve it should make the sum

3 0

3 years ago

Add fractions with unlike denominators

stealth61 [152]

Answer:

1 5/12 i think im sorry if i get it wrong.

Step-by-step explanation:

5 0

3 years ago