1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
12

Write the rule for finding a point translated vertically k units up. 2. Use this rule to find the coordinates for (−3, −6) when

translated 5 units up.
Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

Rule is (x, y+k)

New point is (-3,9)

Step-by-step explanation:

A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units

This can be represented mathematically as;

Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under  a vertical translation k units up you add k to the y coordinate value.

Given ;

A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)

where T is the translation

In the question

Given (-3,-6) and T is (0,5) the new coordinate will be

=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)

You might be interested in
A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the
barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

AD^{2} +BD^{2} =AC^{2}

(AD)^{2} +(30)^{2} =60^{2}

(AD)^{2} =60^{2}-(30)^{2}

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0
3 years ago
LINEAR EQUATIONS PLZ HELP BRAINLIEST AND EXTRA POINTS!!!
Oliga [24]

Answer:


1) B) a = 14

2)D) x = -11

3)B) x = 8

4)A) 250 = 3c-20

5)D)8

6)B), C), D)

8)A) 14 months

9)Sarah = 40 years

Sarah = 5/4 x Tanya

40 = 5/4 x Tanya's age

Therefore Tanya's age is 32 years old


Hope this helps you!


4 0
3 years ago
Read 2 more answers
Find the oth term of the geometric sequence 5,--25, 125,
Genrish500 [490]

Given the geometric progression below

5,-25,125,\ldots

The nth term of a geometric progression is given below

T_n=ar^{n-1},\begin{cases}a=\text{first term} \\ r=\text{common ratio}\end{cases}

From the geometric progression, we can deduce the following

\begin{gathered} T_1=a=5 \\ T_2=ar=-25 \\ T_3=ar^2=125 \end{gathered}

To find the value of r, we will take ratios of two consecutive terms

\begin{gathered} \frac{T_2}{T_1}=\frac{ar}{a}=\frac{-25}{5} \\ \Rightarrow r=-5 \end{gathered}

To find the 9th term of the geometric, we will have that;

\begin{gathered} T_9=ar^8=5\times(-5)^8=5\times390625 \\ =1953125 \end{gathered}

Hence, the 9th term of the geometric progression is 1953125

8 0
1 year ago
Write an equation in slope-intercept for the line that has a<br> slope of O and goes through (2,-4).
dangina [55]

Answer:

Step-by-step explanation:

y + 4 = 0(x - 2)

y + 4 = 0

y = -4

8 0
3 years ago
Which value is equivalent to the expression 32 × 33?
Finger [1]

Answer:

Step-by-step explanation:

1056 divided by 33

3 0
3 years ago
Other questions:
  • Which is greater ratio than 2:7
    15·1 answer
  • If it takes 10 machines 10 minutes to make 10 widgets, how long would it take 50 machines to make 50 widgets? minutes
    5·2 answers
  • Pleaseee CAN SOMEONE HELP ME ITH THISS:(
    5·1 answer
  • What is 4 divided by 17
    13·2 answers
  • Solve this problem.<br><br> How high is the kite?
    14·1 answer
  • Help!! Will mark brainliest
    5·2 answers
  • The temperature fell by 18 degrees Fahrenheit today.
    15·1 answer
  • To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dr
    8·1 answer
  • If f(x) = 21 + 3sqrt(x+12)
    9·1 answer
  • What is the distance between the points (7,5) and (4,9)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!