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2 years ago

Which of the following is a proportion?

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

the first one

Step-by-step explanation:

because 4/6=2/3

2/3=6/9

so 4/6=6/9

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Use the linear approximation (1+x)^kapprox 1+kx to find an approximation for the function f(x) for values of x near zero.

padilas [110]

A) approx = 1-8x
b) f(x) -8(1-x)^-1 approx = -8(1+x) = -8 - 8x
because 1/x = x^-1...

c) f(x) = (1+x)^-1/2    approx = 1- 1/2x
d) f(x) = (4+x^2)^1/2   approx = 4 + 1/2x^2
e) f(x) = (6+3x)^1/3   approx = 6+x

8 0

3 years ago

A peregrine falcon can fly 322 km/h how many meters per hour can the falcon fly??

Olin [163]

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3 years ago

Draw the graph of the line that is perpendicular to Y= 4X +1 and goes through the point (2, 3)

spayn [35]

Given:

$\begin{gathered} y=4x+1 \\ \text{ point }(2,3) \end{gathered}$

To find:

Draw a graph of a line that is perpendicular to the given line and passing through a given point.

Explanation:

As we know that relation between two slopes of perpendicular slopes of lines:

$m_1.m_2=-1$

Slope of given line y = 4x + 1 is:

$m_2=4$

So, the slope of line perpendicular to given line is:

$m_2=-\frac{1}{4}$

Also, so line equation that is perpendicular to given line is:

$y=-\frac{1}{4}x+c...........(i)$

Also, the required line is passing thorugh given point (2, 3), i.e.,

$\begin{gathered} 3=-\frac{1}{4}(2)+c \\ c=3+\frac{1}{2} \\ c=\frac{7}{2} \end{gathered}$

So, line equation that is perpendicular to given line is:

$y=-\frac{1}{4}x+\frac{7}{2}$

The required graph of line is:

8 0

2 years ago

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. What is this function wr

Black_prince [1.1K]

The vertex form is f(x)=(x+1)^2 +2

8 0

3 years ago

A line is perpendicular to y = -1/5x+1

natta225 [31]

Answer:

$y = 5\, x + 26$ .

Step-by-step explanation:

Start by finding the slope of the line perpendicular to $y = (-1/5)\, x + 1$ .

The slope of $y = (-1/5)\, x + 1$ is $(-1/5)$ .

In a plane, if two lines are perpendicular to one another, the product of their slopes would be $(-1)$ .

Let $m$ denote the slope of the line perpendicular to $y = (-1/5)\, x + 1$ . The expression $(-1/5)\, m$ would denote the product of the slopes of these two lines.

Since these two lines are perpendicular to one another, $(-1/5)\, m = -1$ . Solve for $m$ : $m = 5$ .

The $(-5,\, 1)$ is a point on the requested line. (That is, $x_{1} = -5$ and $y_{1} = 1$ .) The slope of that line is found to be $m = 5$ . The equation of that line in the point-slope form would be:

$y - 1 = 5\, (x - (-5))$ .

Rewrite this point-slope form equation into the slope-intercept form:

$y = 5\, x + 26$ .

5 0

3 years ago