MATHEMATICS HIGH SCHOOL

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer 1

Answer:

Answer:

y = $(1)/(2)$ x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - $(1)/(-2)$ = $(1)/(2)$

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = $(1)/(2)$ x + 1 ← equation of perpendicular line

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The Ferris Wheel makes 12 revolutions per ride. How far would someone travel during one ride?

Answers

Answer:

$C=12{*}{\pi}{*}d$ .

Step-by-step explanation:

It is given that The Ferris Wheel makes 12 revolutions per ride.

Now, The circumference to find the distance a rider travels in 1 revolution is given as: $C={\pi}d$ where "d" is the diameter.

For 12 revolutions, the distance a rider travels is given as: $C=12{*}{\pi}{*}d$ .

1 revolution = the circumference of the wheel = (pi) x (diameter) .

12 revolutions = 12 x the circumference of the wheel = (12) x (pi) x (diameter) .

Simplify a - {b - [c - (d - e) - f] - g}.a + b + c - d + e - f + g
a - b + c - d + e - f + g
a + b + c + d + e - f + g
a - b + c - d + e + f - g

Answers

Answer:

$a - b + c - d + e - f + g$

Step-by-step explanation:

We know that,

(-)(-) = (+),

(-)(+) = (-),

(+)(-) = (-)

(+)(+)=(+)

Now,

Here, the given expression is,

$a - \{b - [c - (d - e) - f] - g\}$

$a-\{b-[c-d+e-f]-g\}$

$a-\{b-c+d-e+f-g\}$

$a-b+c-d+e-f+g$

Hence, Second option is correct.

a - {b - [c - (d - e) - f] - g}
= a - {b - [c - d + e - f] - g}
= a - {b - c + d - e + f - g}
= a - b + c - d + e - f + g.
so ur answer is the third one C there all equivalent so the last one is the answer choice so there u go

21x^3 + 6x^2 - 28x - 8 factor this expression with work please?

Answers

$21x^3 + 6x^2 - 28x - 8 \n \n 3x^2 (7x + 2) - 4(7x + 2) \n \n (7x + 2)(3x^2 - 4) \n \n$

The final result is: (7x + 2)(3x² - 4).

21x^3+6x^2-28x-8
(21x^3+6x^2)-(28X+8)
3x^2(7x+2)-4(7x+2)
3x^2-4=0 and 7x+2=0

Suppose you know three minimum,lower quartile,median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the set of data.

Answers

Answer: First, draw and label a number line. Then plot the five values that are given above the line. Draw a box from the lower quartile to the upper quartile, with a line dividing it at the median. Then draw lines from the minimum and maximum values connecting to the box to form the whiskers.

Answer:

Create a number line and label it.

Above the number line, plot the five values.

Draw a box from the lower quartile to the upper quartile.

Divide the box at the median.

Connect the minimum and maximum values to the box.

Step-by-step explanation:

edg2020

Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.A. y = 4x – 25
B. y = 4x – 1
C. y + 1 = 4(x – 6)
D. y + 6 = 4(x – 1)