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3 years ago

Extra points!!no links tho

Mathematics

1 answer:

Naddik [55]3 years ago

5 0

Answer:

<h3> a. the vertex represents a minimum point</h3><h3> b. f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function

$f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5$

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3 years ago

Help me with this problem I've been working on it for a while now and just can't figure it out

Serggg [28]

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3 years ago

The area of a circle is 78.5 cm² . Find the lenght of the radius of a circle . Use π = 3.14

Tpy6a [65]

Answer:

5cm = r

Step-by-step explanation:

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2 years ago

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A ferris wheel can accommodate 54 people in 24 minutes. How many people could ride the ferris wheel in 2 hours? What was that ra

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3 years ago

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

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

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

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2 years ago