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3 years ago

URGENT!! GEOMETRY TRANSLATIONS. INCLUDE EXPLANATION IF POSSIBLE

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

First find the new coordinates for P and Q after the translations:

P'(2 + 3, 4 - 4) = P'(5, 0)

Q'(-3 + 3, 2 - 4) = Q'(0, -2)

Now, find the slope from this:

(0 - (-2))/(5 - 0) = 2/5

The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.

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Write the equation of a line in standard form that has x-intercept (P,0) and y-intercept (0,R).

ExtremeBDS [4]

Answer:

$Rx+Py=RP$

Step-by-step explanation:

The points on the straight line are (P, 0) and (0, R).

The slope would be

$m=\frac{R-0}{0-P}=-\frac{R}{P}$

And $b=R$ , because the y-intercept is at (0, R).

So, the equation of this line would be

$y=-\frac{R}{P} x+R$

Where we multiply the equation by $P$

$Py=-Rx+RP$

Therefore, the equation that represents this line is

$Rx+Py=RP$

<h2>So, the right answer is B.</h2>

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2 years ago

Last year the robotics club had 30 members. This year the club has 24 members. Find the percent change in the number of members.

Naddika [18.5K]

Answer:

the answer is .6

Step-by-step explanation:

so 30 minus 24 is 6 turn 6 into percentage which is 0.6

4 0

3 years ago

Read 2 more answers

The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals

slamgirl [31]

Answer =yes, the residuals would tend to be one sided

8 0

3 years ago

Hello can someone please help me (with explanation ) how to do this thank you.............

tigry1 [53]

Answer:

A 24 because half of 12 is 6 then 6 x 4 is 24

B 90÷3 is 30 which is 2/3 of 45

Hope this helps you

6 0

2 years ago

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(

alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

Answer:

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

$Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5$

Solution:

Given function is:

$f(x) = (x+4)^2 - 5$

The equation in vertex form is given as:

$y = a(x-h)^2+k$

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

$Minimum\ value = f(\frac{-b}{a})$

$f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11$

$f(x) = ax^2+bx+c$

On comparing,

a = 1

b = 8

$x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4$

$f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5$

Thus, use the (-4, -5) to find the minimum value

Domain and range

$f(x) = (x+4)^2 - 5$

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

$Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5$

4 0

2 years ago