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4 years ago

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which of the following is a point-slope equation of a line that passes through the points (10, 5) and (4, -7)

1 answer:

ivolga24 [154]4 years ago

4 0

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{-12}{-6}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{2}(x-\stackrel{x_1}{10})$

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Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedval

Ahat [919]

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

5 0

3 years ago

Write (and graph) the equation of the line with a slope of ¼ that goes through the point (1, 3).

lara [203]

Y-3=1/4(X-1)
Y-3=1/4X-1/4
Y=1/4X+11/4

3 0

3 years ago

-5.7 + (-4.2) <br> help please

Airida [17]

Answer:

-5.7 + (-4.2) is your question and -9.9 should be the answer for you

Step-by-step explanation:

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6 0

3 years ago

Two angles are supplementary. the measure of one angle is 4 more than 2 times the measure of teh other andgle. Write an equation

ch4aika [34]

Answer:

$y=58.67^{\circ}$

$x=121.33^{\circ}$

Step-by-step explanation:

We are given that two angles are supplementary .

We have to write an equation that can be used to find the measures.

Let x and y are supplementary

According to question

$x+y=180^{\circ}$ ( by definition of supplementary angles)

$x=2y+4$

Substitute the value then we get

$2y+4+y=180$

$3y=180-4$

$3y=176$

$y=\frac{176}{3}$

$y=58.67^{\circ}$

Substitute the value then, we get

$x+58.67=180$

$x=180-58.67$

$x=121.33^{\circ}$

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4 years ago

(n-r)/2 - (n-3)=1/2

Ainat [17]

Answer:

n+r=5

Step-by-step explanation:

Pls check attachment.

5 0

4 years ago