What transformation rule would represent a shift of 3 units to the left 4 units down?
Group of answer choices

(x,y) –> (x – 4, y – 3)

(x,y) –> (x – 3, y – 4)

(x,y) –> (4x, 3y)

(x,y) –> (x + 3, y + 4)

Answers

Answer 1

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

[tex](x,y)\to (x+a,y+b)[/tex]          ...(i)

Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.

Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.

If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.

Putting a=-3 and b=-4 (i), we get

[tex](x,y)\to (x+(-3),y+(-4))[/tex]

[tex](x,y)\to (x-3,y-4)[/tex]

Therefore, the correct option is B.


Related Questions

Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x

Answers

Answer: 5.4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Solve for n. 24 = 3(n-5)​

Answers

Answer:

Step-by-step explanation:

Given

24 = 3(n - 5)

24/3 = n - 5

n- 5 = 8

n = 8+5

n = 13

hope it helps :)

Answer:

n = 13

Step-by-step explanation:

8=n-5

-n=-5-8

-n=-13

n=13

Question 6
If a truck can drive 24,4 miles in 1 gallon, how many miles would I be able to drive with a filled 30 gallon tank?

Answers

Answer: 732 mi

Step-by-step explanation:

Assuming you meant 24.4

POV: you procrasiant a lot and dont pay attention on online school and ur failing ur classes, so now ur on brainly, just me?

also someone pls answer my other question will make brainliest!

Answers

Answer:

its true i cant pay attention in class cuz its boring but im

not failing it thank god

Answer:

sameeee but im currently not failing, lets hope it stays like that ;-;

Step-by-step explanation:

im smart

PLEASE HELP! I NEED HELP Use synthetic division!​

Answers

it’s the first one - 3x^2 - 3x+8 - 9/x+1

Stuck on this problem, can't find 3x​

Answers

Answer:

x equals 10, angle measure is 30°

Step-by-step explanation:

By using the Vertical Angles Theorem which states that opposite angles formed by 2 intersecting lines are congruent we can find that the measure of the angle with 3x is equal to the measure of it's opposite angle or 30°. Using this we can make an equation that can find us our answer.

3x = 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Alice has $90 to spend on
new clothes. She wants to buy
some shirts for $20 each. If
she has a coupon for $10 off
her total purchase, how many
shirts can she buy?

Answers

Answer:

5

step by step explanation:

if she gets $10 off of her purchase that means she would have a little extra money to another shirt

In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°. Find the length of h, to the nearest inch.

Answers

Answer:

143

Step-by-step explanation:

delta math

The  length of h, to the nearest inch. is 57.4 inch.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, given that,

In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°

Now. we know that,

a sinA =b sinB =c sinC

We get,

length of h = 57.4 inch.

hence, The  length of h, to the nearest inch. is 57.4 inch.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ2

What is the total surface of the pyramid in square centimeters? A: 17.5 B:70 C:140 D:35

Answers

Answer:

C:140

Step-by-step explanation:

because 7 x 5 in the tiangle.

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at least 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

Answers

Answer:

23% probability the family has at least 3 children under the age of 21.

Step-by-step explanation:

If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?

15% have three children under the age of 21

5% have 4 children under the age of 21

3% have 5 or more children under the age of 21.

So:

15% + 5% + 3% = 23%

23% probability the family has at least 3 children under the age of 21.

Combine like terms
x + 10x-30= -8

Answers

Answer: x=2

Isolate the variable by dividing each side by the factors that don't contain variables.

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=

Answers

Answer:

Step-by-step explanation:

[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]

[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]

[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]

True or False: x is the same/equal to 1x

Answers

Answer:

Yes

Step-by-step explanation:

Because you're multiplying by 1 so it stays the same value

HELP PLSSSSS I BEG YOUUUUUUUUUUUUUUUUU

Answers

Answer:

just shade in the same thing

just shade in the same thing

A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.

Answers

Answer:

7

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

The height of the rock after t seconds is given by the following equation:

[tex]H(t) = -16t^2 + 96t + 112[/tex]

How long will it take in seconds for the rock to hit the ocean?

This is t for which:

[tex]H(t) = 0[/tex]

So

[tex]-16t^2 + 96t + 112 = 0[/tex]

Simplifying by -16

[tex]t^2 - 6t - 7 = 0[/tex]

So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]

[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]

[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]

[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]

Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.

Maurice Luken deposited $3,021 in a savings account that paid 5.5 percent interest
compounded daily. How much interest did he earn in 31 days?

Answers

9514 1404 393

Answer:

  $14.14

Step-by-step explanation:

The amount of interest earned is ...

  I = P((1 +r/365)^n -1) . . . . interest on principal P at annual rate r compounded daily for n days

  I = 3021(1 +0.055/365)^31 -1) ≈ 14.14

$14.14 in interest is earned in 31 days.

Find cos (P)
Q
74
70
P
24
R
A.
37
12
В.
35
37
C.
12

Answers

Answer:

cos P = 71.09

Step-by-step explanation:

cos = [tex]\frac{adajcent}{hypotenuse}[/tex]

cos P = [tex]\frac{24}{74}[/tex]

cos P = 0.324

cos-1 of 0.324 is 71.09

cos P = 71.09

The number line is 0 to 1 true or false 2/8 is close to 0

Answers

Answer:

True

Step-by-step explanation:

from the scale 0-1, 2/8 is closer to 0 because you round 2 down to 0, which gives you 0.

What is the value of 8+(7+1)^2÷4(1/2)^4​

Will Mark Brainliest

^=exponents

Answers

Answer:

264

Step-by-step explanation:

8+(7+1)^2 / 4(1/2)^4

8+ 8^2 / 4(1/2)^4

8+64/4(1/16)

8+64 / 1/4

8 + (64*4)

8+256

264

A container has 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, put it back in the container and draw another marble. What is the probability of pulling out a yellow marble, followed by a blue marble?

Answers

Sorry I don’t know about that
7/9
There are 9 marbles all together and 4+3 is 7 so there for the answer should be 7/9.....(I may be wrong‍♀️)




Hope this helps.!

what is the simplified expression of 6h +(-7.1d)-15+4d-3.4h

Answers

Answer:

6h+ (-7.1d) -15+4d-3.4h

Step-by-step explanation:

Kylee bought a backpack at Tilly's for $32. The same backpack is on sale today for $24. What is the percent
of change? Round your answer to the nearest tenth.

Answers

Answer:

25

Step-by-step explanation:

32-24=8
8/32= 0.25
* 100%
= 25%

Can someone please help meeee I’m desperateeee

Answers

A = 3x cause if you look they are across from each other in an x shape so they would be the same

Answer:

Step-by-step explanation:

1)(-3x+10)(50-x)=180

-4x+60=180

-4x=120

x=-30

2)6x+2+2x=90

8x=88

x=11

larger angle: 68°

3) a=3x°

4)(7x-5)=-2x+22

9x=27

x=3

DBE=16°

5)(x-39)=2x-59)

x=20

Which of the following shapes have an area of 48 square feet? Select all that apply.
A scalene triangle with a base of 8 feet and a height of 6 feet.
A right triangle with a base of 9 feet and a height of 10 2/3 feet.
A rectangle with a base of 19.2 feet and a height of 2.5 feet.
A parallelogram with a base of 16 feet and a height of 3 feet.

Answers

I think 2,3,4 or B,C,D would be correct.

The area of a triangle is (b•h)/2
And the area of a rectangle and parallelogram would just be b•h

1) 8(6) = 48/2 =24

2) 9(10 2/3) = 96/2 =48

3) 19.2(2.5) = 48

4) 16(3) = 48

Hope this is right and hope it helps. Have a good day

Definition the value of a number regardless of its sign Definition

Answers

are you asking for a definition

For each ordered pair determine if it is a solution to 7x+5y=9
(-4,-3)
(-3,6)
(5,0)
(2,-1)

Answers

Answer
2,-1

Explanation
Because ik

To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35models of Make A and 35 models of Make B. The mean braking distance for Make A is 41feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 45feet. Assume the population standard deviation is 4.3 feet.At alphaequals0.10​,can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles

Answers

Answer:

There is sufficient evidence to support the claim.

Step-by-step explanation:

Given

[tex]\alpha = 0.10[/tex]

Make A

[tex]\bar x_1 = 41[/tex]

[tex]\sigma_1= 4.6[/tex]

[tex]n = 35[/tex]

Make B

[tex]\bar x_2 = 45[/tex]

[tex]\sigma_2 = 4.3[/tex]

[tex]n = 35[/tex]

First, we state the null and alternate hypothesis

[tex]H_0 : \mu_1 = \mu_2[/tex]

[tex]H_1 : \mu_1 \ne \mu_2[/tex]

Next, calculate test statistic:

[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]

[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]

[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]

[tex]z = \frac{-4}{1.0643}[/tex]

[tex]z = -3.7583[/tex]

The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]

[tex]-3.7583 < -1.282[/tex]

So, we reject [tex]H_0[/tex]

This implies that; there is sufficient evidence to support the claim.

The square pyramid has a base area of 144 square centimeters and a height of 12 centimeters. Find the volume.

Answers

Step-by-step explanation:

the answer is 576 cubic centimetre.

Answer:

Its 576 cubic centimeters

Step-by-step explanation:

9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5

Answers

Answer:

I believe the answer is C

tell what place the digit is in for the following number 14,632.708



4
0
7​

Answers

Thousands
Hundredths
Tenths

Answer:

4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.

Other Questions
I need help with this please help me Im trying to pass my math classes The 3 Renaissance ideas were Secularism, Humanism, and Individualism.Which suggested humans beings and the world deserved as muchattention as God and faith. * True or False A train covers 828 km in 9 hours. what distance will it cover in 6 hours welp plwses You can text at a speed of 50 words per minute. At this rate, how many words can you text in four minutes? If Elijah works between 240 and 249 hours during the summer, how much money will he earn? Write and solve two equations: one for the most amount and one for the least amount of money he could have earned. is an authoritarian form of government, characterized by a single leader.a. Theocracyb. Monarchyc. Oligarchyd. Democracy A football is kicked up from ground level. The pathway of the ball can be representedby the equation h= 16t? + 92t. Will the football hit a scoreboard located 130 feetfrom the ground? A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that had four extra bases in the field, what type of polygon would the bases form? A. pentagon B. octagon C. hexagon D. decagon Why might walking across rocks in shallow creek hurt your feet more than the same rocks would if you were in deeper water Who is husband of Elsa from Frozen Please I need help its an emergency Which situation is represented by the equation x+10=26? When did the war end & what did Britain gain? A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 25 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 3000 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? Which of the is NOT a responsibility of the House of Representatives.a. Initiate spending billsb. Recommend tax billsc. Recommend a government officiald. Buy better food for the MLK High School 3. This is the menstrual phase wherein pregnancy is possa) follicular phasec) menstrual phaseb) luteal phased) ovulation phasewoman for pregnancy. Who was the Italian explorer who suggested that Columbus had found a "new world"?a. Ferdinand MagellanC. Bartholomeu Diasb. Jacques Cartierd. Amerigo Vespucci Henry drives at a speed of 80miles per hour how long will it take to drive 400miles HELPHELPEP ITS ON SCIENCE AND IS DUE IN 30 MINS AND I HAVE NO CLUE WHAT TO DOOO Question 1Ricardo came up with three different designs for paper airplanes. He would like to find out which design flies the farthest. Ricardo plans to fly each paper airplane five times. What step should Ricardo take after he flies each plane?