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3 years ago

Suppose the point

Mathematics

2 answers:

horrorfan [7]3 years ago

8 0

Co-ordinates of point B" are (-8,6)

Step-by-step explanation:

Question:

Suppose the point (2,8) is reflected across the −axis and then translated according to the rule (, ) → (, + 4). What are the coordinates of ′′? Show your work and explain.

Solution:

We are given the point B(2,8) and we need to find B".

The coordinates of B" will be:

a) The point B(2,8) is reflected across the −axis:

If a point is reflected across x-axis, then the co-ordinate of x-axis remains same, while co-ordinate of y-axis is changed into opposite value, i.e its sign is changed.

So, point B' will be (2,-8)

b) Now, point B' is translated according to the rule (, ) → (, + 4) so, co-ordinates of point B'' are:

So, y= -8 and x = 2

(-8,2+4)

(-8,6)

So, Co-ordinates of point B" are (-8,6)

Keywords: Translation

Learn more about Translation at:

#learnwithBrainly

Komok [63]3 years ago

8 0

Answer:

what is the question? ._.

Step-by-step explanation:

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Help! Please! Geometry!!

DiKsa [7]

By the Segment Addition Postulate, SAP, we have

XY + YZ = XZ

YZ = XZ - XY = 5 cm - 2 cm = 3 cm

10.

M is the midpoint of XZ=5 cm so

XM = 5 cm / 2 = 2.5 cm

11.

XY + YM = XM

YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm

12.

The midpoint is just the average of the coordinate A(-3,2), B(5,-4)

$M = (A+B)/2 = \left( \dfrac{-3 + 5}{2}, \dfrac{2 + -4}{2} \right)$

Answer: M is (1,-1)

You'll have to plot it yourself.

13.

For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.

$AB^2 =(5 - -3)^2 + (-4 - 2)^2 = 8^2 + 6^2 = 100$

Answer: AB=10

M is the midpoint of AB so

Answer: AM=MB=5

14.

B is the midpoint of AC. We have A(-3,2), B(5,-4)

B = (A+C)/2

2B = A + C

C = 2B - A

C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)

Check the midpoint of AC:

(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good

Answer: C is (13, -10)

Again I'll leave the plotting to you.

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3 years ago

Hi can you guys please help me on these two?!

lesya692 [45]

Answer:

1. R and Z 2. AC and AE

Step-by-step explanation:

5 0

2 years ago

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Hey, Its the same person. This is Algebra 2. Please Help!

suter [353]

Answer:

first option

Step-by-step explanation:

Given

f(x) = $\frac{2x^2+5x-12}{x+4}$ ← factorise the numerator

= $\frac{(x + 4)(2x-3)}{x+4}$ ← cancel (x + 4) on numerator/ denominator

= 2x - 3

Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is

x = - 4

Substitute x = - 4 into the simplified f(x) for y- coordinate

f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11

The discontinuity occurs at (- 4, - 11 )

To obtain the zero let f(x) = 0, that is

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = $\frac{3}{2}$

There is a zero at ( $\frac{3}{2}$ , 0 )

Thus

discontinuity at (- 4, - 11 ), zero at ( $\frac{3}{2}$ , 0 )

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shtirl [24]

I don’t know honestly

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The triangle below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

Elodia [21]

Answer:

these three apply:

ΔCBA ≈ ΔFED

ΔBAC ≈ ΔEDF

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Step-by-step explanation:

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