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3 years ago

Write the slope-intercept form of the equation of the line given the slope and the y-intercept.

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

Answer:

y=-2x-4

Step-by-step explanation:

So remember this y=mx+b

The M is the slope and the B is our y-intercept

So according to the picture it gave you the slope and the Y-intercept

The slope was -2 and the y-intercept was -4

So y=mx+b so subtitute the m to -2 and the b to -4

The equation should be y=-2x-4

I really hope this make sense

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Ann had 45 fliers to post around town. Last week, she posted 2/3 of them. She posted 1/3 of the remaining fliers. How many flier

Bess [88]

Answer:

Step-by-step explanation:

(1/4)16 = 4

48-32-4 = 12 still not posted

checking

32 + 4 + 12 = 48 CHECKS!

7 0

3 years ago

Read 2 more answers

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

3 years ago

Given that<br>X2: (20 – 3x) = 1 : 2<br>find the possible values of x.

hammer [34]

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

6 0

3 years ago

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements

charle [14.2K]

Answer:

(E) The z-scores of the height measurements

Step-by-step explanation:

Mean is given by

$\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)=\frac{x_{1}+x_{2}+\cdots +x_{n}}{n}$

Where,

n = Number of people

$x_{i}$ = The heights of people

When converting m to cm the mean would be

$\bar {x}=\frac{1}{n}\left(\sum _{i=1}^{n}{x_{i}}\right)\times 100$

So, the mean would change

The median gives us the middle data value when the data values are in ascending order.

So, the median would change

Standard deviation

$s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\bar{x})^2}$

When converting to centimeters

$s=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}\left((x_i-\bar{x})\times 100\right)^2$

Hence, the standard deviation would change

When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.

The z score is given by

$z=\frac{x-\mu}{\sigma}$

where,

x = Data point

$\mu$ = Mean

$\sigma$ = Standard deviation

When converting to centimeters

$z=\frac{(x-\mu)\times 100}{\sigma\times 100}\\\Rightarrow z=\frac{x-\mu}{\sigma}$

Hence, the z score would remain the same

5 0

3 years ago

What is the product of x and 4x?

Dmitriy789 [7]

Answer:

6x³

Step-by-step explanation:

X x X = x² + 4x + 2x = 6x³

8 0

2 years ago