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A dilation has center at the origin. Which of the following is the image of the point P (7/4, -5/2) for a scale factor of 1/7.
Answer choices are shown in the photo.

Answer:

#5 - C

#7 - A

Step-by-step explanation:

If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.

In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).

#5:

Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77

#7:

Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5

Answer:

27

Step-by-step explanation:

3 times 3 times 3

length times width times height

I hope this helped!

Answer:

27

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️

Answer:

6c = b

Step-by-step explanation:

6 cups of flour for each batch of bread, so 6c;

b is the batch of bread.

So basically,

6c = b

Answer:

mark -7 on the line then draw a line to the left of it

Answer:

y = 6x^2 + 48x + 72.

Step-by-step explanation:

y = 6(x + 2)(x + 6)

y = 6(x^2 + 6x + 2x + 12)

y = 6(x^2 + 8x + 12)

y = 6x^2 + 48x + 72.

Answer:

see explanation

Step-by-step explanation:

6(x²+6x+2x+12)

6(x²+8x+12)

6x²+48x+72

Answer:

1) 20/45= 4/9=4:9

2) 3:8:5

3) 10:7

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Answer:

6.71

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

6^2+3^2=c^2

36+9=c^2

45=c^2

6.71=c

Answer:

-9x^2 - 9x + 18

Step-by-step explanation:

-9 • (x - 1) • (x + 2)

-9x + 9 • (x + 2)

-9x^2 -18x + 9x + 18

-9x^2 - 9x + 18

Answer:

y = - 9x² - 9x + 18

Step-by-step explanation:

y = - 9(x - 1)(x + 2) ← expand factors using FOIL

   = - 9(x² + x - 2) ← distribute parenthesis by - 9

y = - 9x² - 9x + 18 ← in standard form

Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Could you please express this question better, I don't seem to understand the objective.

Part 1

Other answers are possible.

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

Explanation:

The old width was 5, but then it increases to x+5. The old length was 10, but now it's x+10.

The area of any rectangle is length times width.

So the area of the larger rectangle is (x+5)(x+10). Subtract off the old area of 5*10 = 50 and we get (x+5)(x+10) - 50 as the area of the L shape. Set this equal to 126 to finish setting up the equation. This is one possible answer out of many others. This is because we could expand out the (x+5)(x+10) into x^2+10x+5x+50 or simplify that to x^2+15x+50, as two possible options.

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

Part 2

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

Explanation:

Solve the equation we set up in the previous part

(x+5)(x+10) - 50 = 126

x^2+10x+5x+50-50 = 126

x^2+15x = 126

x^2+15x-126 = 0

Apply the quadratic formula from here

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(15)\pm\sqrt{(15)^2-4(1)(-126)}}{2(1)}\\\\x = \frac{-15\pm\sqrt{729}}{2}\\\\x = \frac{-15\pm27}{2}\\\\x = \frac{-15+27}{2} \ \text{ or } \ x = \frac{-15-27}{2}\\\\x = \frac{12}{2} \ \text{ or } \ x = \frac{-42}{2}\\\\x = 6 \ \text{ or } \ x = -21\\\\[/tex]

Another method you could use is factoring, so you could say:

x^2+15x-126 = 0

(x-6)(x+21) = 0

x-6 = 0 or x+21 = 0

x = 6 or x = -21

The issue with this is that it may take a while to do this trial and error approach.

Whichever method you used, you'll end up with two solutions. One of those solutions doesn't make sense though. We can't have a negative length or distance value, so we ignore x = -21.

The only practical solution is x = 6

If x = 6, then the old height goes from 5 to x+5 = 6+5 = 11

If x = 6, then the old length goes from 10 to x+10 = 6+10 = 16

The new larger rectangle is 11*16 = 176 sq ft, in which we subtract off the 50 sq ft to get 176-50 = 126 sq ft, and this matches with the 126 given to us. Therefore, the answer is confirmed.

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

$120.29

Step-by-step explanation:

first you add the normal prices of what sally bought, then add 6.5% of the price she paid.

22.5(2) + 55 + 12.95 = 112.95

6.5          x

-----  =    -----

100     112.95

6.5(112.95)  = 100x

734.175/100 = 100x/100

7.35 ≅ x

112.95 + 7.35 = 120.30

I think that's it! Let me know if it is! If so, please maybe consider giving me Brainliest! It would really help me out!

Answer:

470

Step-by-step explanation:

there are several surface areas.

1. the 4 side walls of the big block = 4*12*7 = 336

2. top and bottom of the big block = 2* 7*7 = 98

3. subtract the small rectangular area from the top area covered by the small block = 2*7 = 14

4. the 3 (visible) side walls of the small block on top =

3* 2*7 = 42

5. the small top and bottom areas of the small block =

2* 2*2 = 8

so, 1.+2.-3.+4.+5. = 470

Answer:

d)848

Step-by-step explanation:

Em virtude do atraso, Mônica teve de pagar 100% + 6% = 106% da mensalidade do seu filho.

Coeficiente:

O coeficiente de 106% é 106%/100% = 1.06, ou seja, para encotrarmos 106% de um valor, multiplica-se este valor por 1.06.

Se a mensalidade era de 800 reais, o valor total pago, com acréscimo da multa foi:

106% de 800, então:

1.06*800 = 848.

A resposta correta é dada pela alternativa d.

Answer:30*20

Step-by-step explanation:

Answer:

The circumference is:

[tex]C=52.8\: ft[/tex]

Step-by-step explanation:

The equation of the circumference of a circle is given by:

[tex]C=2\pi R[/tex]

Where:

R is the radius of the circle (R=8.4 ft)

Therefore, the circumference will be:

[tex]C=2\pi*8.4[/tex]

[tex]C=2(3.14)8.4[/tex]

[tex]C=52.8\: ft[/tex]

I hope it helps you!

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2Step-by-step explanation:

Answer:

40

Step-by-step explanation:

well I need the 3rd number but right now the answer is 40

Answer:

17.99

Step-by-step explanation:

Trig Ratios:

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)

Recall that sin = opposite over hypotenuse

That being said we want to create an equation to solve for w

[tex]sin(40)=\frac{w}{28}[/tex]

Now we solve for w

Step 1 multiply each side by 28

[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]

we're left with w = 17.99

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

We find in this place a non-linear system formed by a quadratic equation and a linear equation, which can be solved by algebra properties. The complete procedure is shown below:

y = 2 · x² - 3 · x - 4     (1)

y + x = 8                     (2)

By (2) in (1):

2 · x² - 3 · x - 4 + x = 8

2 · x² - 2 · x - 12 = 0

2 · (x² - x - 6) = 0

2 · (x - 3) · (x + 2) = 0

x = 3 ∨ x = - 2

y = 8 - 3 ∨ y = 8 - (- 2)

y = 5 ∨ y = 10

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

To learn more on quadratic equations: https://brainly.com/question/17177510

#SPJ1

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

Answer:

D igjdghhhgghgjgyigtyytttttrttuu

Answer:

C y = 4x - 12

Step-by-step explanation:

(1,-8) means x=1, y=-8

(4,4) means x=4, y=4

so, for which of the offered equations are both pairs right ?

a -8 = 4x1 + 12 = 16 wrong already for the first pair

b -8 = -4x1 - 12 = -16 wrong already for the first pair

c -8 = 4x1 - 12 = -8 hey, right !

4 = 4x4 - 12 = 16 - 12 = 4. hey, right

d -8 = -4x4 + 12 = -16 + 12 = -4. wrong already for the first pair

so, C describes an equation that covers both points. it is a linear function (no squares or so), and so it is a line function passing through both points.

Answer:

∠G =  37°

∠H = 143°

Step-by-step explanation:

As we know ,

Sum of supplementary angles is 180 degrees.

Hence sum of ∠G and ∠H  is also 180 degrees

∠G + ∠H = 180

Substituting the given values in above equation, we get -

[tex](X+4) + (4X +11) = 180\\5X + 15 = 180\\5X = 165\\X = 33[/tex]

∠G = (x + 4)° = (33 + 4)° = 37°

∠H = (4x + 11)° = (33*4 + 11)° = 143°

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction