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3 years ago

Write the equation of the line that has y-intercept of 4 and goes through the points (0,4) & (2.0) (Hint: use those points

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

Answer:

y = -2x + 4

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope of a line passing through (0, 4) and (2, 0) will be,

m = $\frac{4-0}{0-2}$

= -2

Y-intercept of the line 'b' = 4

Therefore, equation of the line will be,

y = -2x + 4

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mr_godi [17]

Answer:

$\displaystyle g'(s) = (s-s^4)^6$

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
$\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)$

Where <em>a</em> is some constant.

We can let:
$\displaystyle g(t) = (t-t^4)^6$

By substitution:

$\displaystyle g(s) = \int_6^s g(t)\, dt$

Taking the derivative of both sides results in:
$\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]$

Hence, by the Fundamental Theorem:

$\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}$

3 0

2 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

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7 0

2 years ago

2+5+2) = 6(+2)

Sergio039 [100]

cuatro no? porque osea tiene q

5 0

3 years ago

Convert 1 1/3 to a improper fraction

Morgarella [4.7K]

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

5 0

4 years ago

Q5 Q2.) Find a positive angle with the given conditions

strojnjashka [21]

Coterminal angle is an angle which has the same initial and terminal side of the original angle. It can be found by adding or subtracting 360deg.

A positive angle less than 360 that is coterminal with -85 is = -85 + 360
= 275 degree

4 0

4 years ago