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3 years ago

The composition Rx T -2.4 is performed on BC. What are the coordinates of B'' and C''?

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

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Setler79 [48]3 years ago

5 0

<h2>Answer:</h2>

The coordinates of B" and C" are:

B" (-1,-9)

C" (3,-6)

Option: A

<h2>Step-by-step explanation:</h2>

We are asked to apply the composite transformation as:

Rx oT -3,4

i.e. the figure is first translated by using the rule:

(x,y) → (x-3,y+4)

and is then reflected across the x-axis.

This means that the coordinates on reflecting the figure across x-axis is given by using the rule (x,y) → (x,-y)

Hence, the coordinates on translating by the rule T -3,4 is obtained as:

B (2,5) → B' (-1,9)

and C (6,2) → C' (3,6)

Also, reflecting the translated image across x-axis the coordinates are transformed to:

B' (2,-5) → B" (-1,-9)

and C' (6,-2) → C" (3,-6)

Hence, we get:

B (2,5) → B" (-1,-9)

C (6,2) → C" (3,-6)

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Hitman42 [59]

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2 years ago

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S_A_V [24]

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3 years ago

You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers abou

Naddik [55]

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls = 4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

3 gallons----------960

5 0

2 years ago

Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5

Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form, $y=-\frac{3}{4}x-3$ .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

$y=-\frac{3}{4} x-5$

here, slope, m= $-\frac{3}{4}$

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

$-6=-\frac{3}{4}(4)+b$

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is $y=-\frac{3}{4}x-3$ .

Learn more about slope-intercept form here:

brainly.com/question/9682526

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1 year ago

Consider the function f(x)=−5x−8 and find the following: a) The average rate of change between the points (−1,f(−1)) and (3,f(3)

kipiarov [429]

Answer:

a. -5

b.-5

c.-5

Step-by-step explanation:

In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.

Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is

ARC = [f(x2)-f(x1)]/ (x2-x1)

<em>In case a)</em>

f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23

Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5

<em>In case b)</em>

f(a)= (-5a-8)

f(b)= (-5b-8)

Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5

f(x)= -5x-8

f(x+h)= -5(x+h)-8= -5x-5h-8

then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5

3 0

2 years ago