Mathematics High School

The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)

Answers

Answer 1

Answer:

They have the same side lengths/angles except one is smaller than the other

Step-by-step explanation:

the smaller one is a "mini" of the larger one. a exact copy

Answer 2

The dilation is solved and the scale factor of line is A'B' = 3AB

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the scale factor of the dilation be represented as k

Now , the scale factor k = 3

So , the ratio of the corresponding sides is given by

A'B' / AB = 3

Multiply by AB on both sides , we get

A'B' = 3AB

Hence , the dilation is simplified as A'B' = 3AB

To learn more about dilation click :

Step-by-step explanation:

5x-3/4=2x+3

First, multiply by 4

5x-3=4(2x+3)

Next, distribute.

5x-3=8x+12

Subtract 5x

-3=3x+12

Subtract 12

-15=3x

x=-5

Hope this helps :D

5x-3/4=2x+3
You do reseprocal/cross multiplication
5x-3=4(2x+3)
5x-3=8x+12
5x-8x=12+3
-3x=15
x=15/-3
x=-5

28=−4x+5−x−2
what is X?

Answers

Answer:

X= -5

Step-by-step explanation:

28=-5x+3
25=-5x
x=-5
Explanation:
Combine like terms (4x) -x/-1x and 5-2
Subtract 3
Divide

Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?

Answers

Answer:

5 19/20

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 19/20

Step-by-step explanation:

Find the 9th term of the geometric sequence 9, 27, 81,

Answers

Answer:

You have to multiply the last number by 3. So 9 times 3 equals 27 and 27 times 3 equals 81 and so on. The answer would be 59,049

Step-by-step explanation:

I hope this helps!!

Not good with factoring could use a hand.

Answers

The only factoring you need to do is already done for you:

x² + x - 12 = (x + 4) (x - 3)

What you're asked to do is decompose

(3x - 4) / (x² + x - 12)

into partial fractions, i.e. find a and b such that

(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)

Multiply both sides by x² + x - 12 :

3x - 4 = a (x - 3) + b (x + 4)

3x - 4 = (a + b) x + (-3a + 4b)

So we have

a + b = 3

-3a + 4b = -4

and solving this system gives

a = 16/7 and b = 5/7

so you should submit the numbers in bold:

(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))

In square ABCD, diagonal DB is drawn. If the m

Answers

9514 1404 393

Answer:

x = 11

Step-by-step explanation:

The diagonal creates two isosceles right triangles, so ...

m∠CBD = 45°

3x +12 = 45

3x = 33 . . . . . . subtract 12

x = 11 . . . . . . . . divide by 3

This graph shows the solution to which inequality?

Answers

The answer is option c

Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?

Answers

Given:

Point is T(-3,8).

To find:

The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].

Solution:

We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

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

[tex]T(-3,8)\to T_1(-3,-8)[/tex]

If a figure reflected across y-axis, then

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

[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]

[tex]T_1(-3,-8)\to T'(3,-8)[/tex]

Therefore, the required point is T'(3,-8).

At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?

Answers

The ratio is 20:35 or 20 to 35 and also 20/35, there are multiple ways to write it. My personal favorite is the first one but it depends on what your teacher wants!

if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side

Answers

Answer:

5cm

Step-by-step explanation:

It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.

A diamond ring that normally sells for $1,275 is on sale for $1,020. A ruby ring that normally sells for $290 is on sale for $203.

Answers

Answer:

what is the question?

Step-by-step explanation:

I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices

$40.00

$62.50

$70.00

$60.00

Answers

Answer:

the answer is 60 dollars.

Answer: Choice B) $62.50

====================================================

Work Shown:

x = original price

20% = 20/100 = 0.20

20% of x = 0.20x = discount

x - 0.20x = 0.80x = final price

0.80x = 50

x = 50/0.80

x = 62.50

The original price of the jeans was $62.50

---------------

Note how,

20% of x = 0.20*x = 0.20*62.50 = 12.50

Tara saves $12.50 (this is the discount).

The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.

what is the slope of the line passing through the points (4,3) and (1,-2

Answers

Answer:

8/5

Step-by-step explanation:

30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.

A - 1200x + 40 = 3000; x=45 weeks

B - 1200 + 40x = 3000; x = 45 weeks

C - x(1200 + 40) = 3000; x = 45 weeks

D - x(1200 - 40) = 3000; x = 45 weeks

Answers

B looks about right.

Identify the type of slope and then find the slope of the line.

Answers

Answer:

-1/2, negative slope

Step-by-step explanation:

As per graph it is visible that the slope is negative, it goes down when x-value increases

Use two points to find the slope:

(-4, -1) and (0, -3)

Slope formula:

m = (y2 - y1)/(x2 - x1)

Value of the slope:

m = (-3 - (-1))/(0 - (-4)) = -2/4 = -1/2

13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi

Answers

I think it would be 4 po

Answer:

What is the circumference of a circle whose area is 16 π ?

A. 64 π

B. 32 π

C. 8 π

D. 4 π

Step-by-step explanation:

its 8 π cause it said it was correct

Question 7 of 8
Find the slope-intercept equation of the line.
Plz help I can’t go past question 7
I need the equation

Answers

Answer:

y=-3/4x-5

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y intercept form

Use the vertical line test to determine whether the relation is a function

Answers

Answer:

7,2

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?

Answers

Answer:

I hope that it will be help full for u

Step-by-step explanation:

As we know the equation of line is ,

y= mx+ c

As given

slope=m=-2/5

also given (x, y)= (-5, 7)

we get x=-5 , y=7

putt in the equation of line all these values we get ,

7=(-2/5)(-5) +c

c=7-2

c=5 now putt the value of c and m in equation of line we will get ,required equation of line

y = (-2/5)x + 5 Ans

Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

What is slope intercept form?

The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.

According to the question,

The line passes through the point (-5,7) and has slope of -2/5,

The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c

7 = 2 + c

c = 7-2

c = 5

Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

Learn more about slope intercept form here

https://brainly.com/question/12425007

#SPJ2

The figures are similar

Answers

Answer:

x is 10

Step-by-step explanation:

9+6=15 4+6=10

Jus 360 no sniped my little sister get on my Game kid

Answers

Answer:

cool that's super cool

Step-by-step explanation:

Answer:

NICEEEEEEEEEEEEEEEEEEEE

Could I have Brainlest

Step-by-step explanation:

please help i will mark brainliest

Answers

Answer:

6/11

Step-by-step explanation:

What does 9+10 equal?

Answers

Lol... is 20 lol jkjk is 19 thx for the points ❤️

An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.

Answers

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?

-4/5
1/5
5/4
5

Please answer FAST!!!

Answers

Answer:

5/4

Step-by-step explanation:

45 × ? = 10

Answer:

5/4

Step-by-step explanation:

ANSWER THIS URGENTLY PLEASE !!!!

A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?

Answers

Answer:

0<x<70

0<y<500

Step-by-step explanation:

The range is the values horizontally (up to down)

The domain is the values vertically (left to right)

Answer:

0 ≤ x ≤ 70

0 ≤ y ≤ 500

Step-by-step explanation:

By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.

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The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points) ​

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The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)