Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a dilation. What is the scale factor of the dilation?

Answer:

[tex]y=1,\:x=2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=9x-17\\ y=-5x+11\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-5x+11[/tex]

[tex]\begin{bmatrix}-5x+11=9x-17\end{bmatrix}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{For\:}y=-5x+11[/tex]

[tex]\mathrm{Substitute\:}x=2[/tex]

[tex]y=-5\cdot \:2+11[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=1,\:x=2[/tex]

Answer:

the number is -3

Step-by-step explanation:

3(x + 5) = 6

let x be the number anyways thooo

we distribute 3

3x + 15 = 6

then solve

3x = 6 - 15

3x = -9

x = -3

Answer:

The answer is 10 mph

Step-by-step explanation:

Divide 100 by 10

Answer:

Yola is 42, Zed is 19

Step-by-step explanation:

I used a system of equations:

y - z = 23

2z + y = 80

Then I graphed them.

The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:

Area = length * width

Given that length = 5.5 m, width = 3.2 m

Hence:

Area = 5.5 * 3.2 = 17.6 m²

Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m

There is an increase in both the length and the width of the playground by 40% each. Hence:

New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m

Area = 7.7 * 4.48 = 34.5 m²

Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m

Increase in area = 34.5 m² - 17.6 m² = 16.9 m²

The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

Find out more on area at: https://brainly.com/question/25292087

Answer:

Step-by-step explanation:

Restate the problem:

 "  29% of x is $28.9 million"

   (29/100)x = $28.9 million  

          [in word (story) problems "of" usually means multiply]

          29% may be written as (29/100) or 0.29 as needed by the problem.

   x = (100/29)($28.9 million)

   x ≅  $99.655 million

   x ≅ $100 million         [rounded

The expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20

Given the following expressions as shown

7(-8w^2+5w-7)
Expanded the expression to have:

7(-8w^2) + 7(5w) -7(7)

-56w^2 + 25w - 49

For the expression -(-2t^2+9t+1), multiply the expression through bu the minus sign to have 2t^2-9t-1

For the expression 3/5(1/3x+1/algebras)

Expand the expression to have:

3/5(1/3x) + 3/5(1/4)

x/5 + 3/20

Hence the expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20

Learn more on algebraic expressions here: https://brainly.com/question/2164351

[tex] \bf \underline{Given :-}[/tex]

[tex] \\ \\ [/tex]

[tex] \bf \underline{ To \: find:-}[/tex]

[tex] \\ \\ [/tex]

[tex] \bf \underline{Solution:-}[/tex]

Strongly recommend to keep up with Digram , as name of sides are based according to Digram.

As we know soccer feild is rectangle , therefore ∠A = ∠B = ∠C = ∠D = 90°

Now as we have to just find value of diagonal AD therefore just focus on triangle ACD.

we know ∠C = 90° , triangle ACD. is a right angled triangle.

[tex] \\ \\ [/tex]

[tex] \bigstar \boxed{ \rm Hypotenuse^2 = Base^2 + Perpendicular^2}[/tex]

Here :-

Hypotenuse = AD

Base = CD

Perpendicular = AC

[tex] \\ [/tex]

Therefore :-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =CD^2 + AC^2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =(130)^2 + (80)^2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =130 \times 130 + (80)^2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =16900+ (80)^2 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =16900+80 \times 80 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =16900+6400\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD^2 =23300\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf AD= \sqrt{23300} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf AD =152.643 \: yds\\ [/tex]

[tex] \\ \\ [/tex]

Answer:

C. 18

Step-by-step explanation:

Triangle RST is dilation of 1.33333333 of triangle ACB, and side CA corresponds to angle SR.

24/1.33333333 = 18

Hope this helps :)

Answer:

Answers A C C B A C C A

Step-by-step explanation:

the anser is c because i dont know

Answer:

Change the mixed numbers into an improper fraction:

[tex]2\frac16 \div 2\frac12=\dfrac{2 \times 6+1}{6}\div \dfrac{2 \times 2+1}{2}=\dfrac{13}{6}\div \dfrac{5}{2}[/tex]

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. (Reciprocal is when you swap the numerator and denominator).  Therefore,

[tex]\dfrac{13}{6}\div \dfrac{5}{2}=\dfrac{13}{6}\times\dfrac{2}{5}[/tex]

Now we simply multiply the numerators and the denominators:

[tex]\dfrac{13}{6}\times\dfrac{2}{5}=\dfrac{13 \times 2}{6\times 5}=\dfrac{26}{30}[/tex]

We can now reduce the fraction to its simplest form by dividing the numerator and denominator by 2:

[tex]\dfrac{26}{30}=\dfrac{26\div 2}{30 \div 2}=\dfrac{13}{15}[/tex]

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

I'll assume it is [tex]\frac{21}{6}[/tex]÷[tex]\frac{21}{2}[/tex]

Not so sure if it is that or in mixed form

The division sign will become multiplication sign when two becomes the numerator and 21 becomes the denominator

[tex]\frac{21}{6}[/tex]×[tex]\frac{2}{21}[/tex]

21 will cancel out leaving [tex]\frac{2}{6}[/tex]

=[tex]\frac{1}{3}[/tex]

Answer:

C. Substitution

But gives you infinity solitions

Solving steps:

Step: Solvey=1/2

x+6for y:

y=1/2x+6

Step: Substitute

1/2

x+6foryin−2x+4y=24:

−2x+4y=24

−2x+4(1/2x+6)=24

24=24(Simplify both sides of the equation)

24+−24=24+−24(Add -24 to both sides)

0=0

Answer:

27

Step-by-step explanation:

4/15×100 =80/3 =26.6

Rounded to the nearest whole number is 27

The correct answer to your question is D

Sure hope this helps you

The triangles ΔDJY and ΔFJS are similar triangles. Then the value of x will be 75. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The angle ∠J is common for both triangles.

The triangles ΔDJY and ΔFJS are similar triangles, then we have

DJ/DF = YJ/YS

 50/x = 42/63

       x = 75

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Step-by-step explanation:

Multiplication property of equality is when you multiply the same number on both sides of an equation, the equation will still hold true.

In order to have x by itself, you need to multiply by 6. The property states that you can multiply 6 on both sides and the equation will still hold true.

Answer:

53.38

Step-by-step explanation:

First, find the circumference of the whole circle.

C=2pir

C=2(3.14)(17)

C=106.76

Then, divide by 2 because a semi-circle is half of a circle.

106.76/2 = 53.38

Therefore, the circumference, or the perimeter, of the semicircle is 53.38

Answer:

-3 is the slope

2 is the y intercept

Step-by-step explanation:

always

Answer:

Answer is 300

Step-by-step explanation:

because 51.25x6=307.5 and the closest estimate is 300.

Answer:

Justin should have multiplied 3.8 and 7.9 first

Step-by-step explanation:

Multiply before adding

12.5 +3.8(x)x

12.5+3.8x7.9

Answer:Justin should have multiplied 3.8 and 7.9 first

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

We assume you are looking for the graph of ...

  y = log(x) +4

This represents a vertical translation 4 units upward of the graph of log(x). That is, the point (1, 0) that appears on a graph of a log function will be translated to (1, 4).

The only graph shown that goes through the point (1, 4) is the last one, attached.

__

If you are actually looking for the graph of ...

  y = log(x +4)

it will be a graph of the log function shifted 4 units to the left. The 2nd offered choice is that graph. The point (-3, 0) will be on that graph.

_____

Additional comment

For a function y = f(x), the transformation ...

  y = f(x -h) +k

represents a horizontal shift of h units to the right, and a vertical shift of k units upward. Here, the argument of the log function is not clearly shown, so we cannot tell if the intended shift is to the left or upward.

Answer:

18 years old

Step-by-step explanation:

20÷2=10

10+8=18 years old

Answer:

f(x)=-4x+3

Step-by-step explanation:

Assuming you're talking about f(x)=mx+b. b is y intercept. So f(x)=mx+3. You substitute m for -4, as you said, and we get f(x)=-4x+3

Answer:

No solution

Step-by-step explanation:

By bisector theorem: the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle

y/8 = 8/2

y = 32 .... sum of the length of 2 sides of triangle must be larger than the 3rd side, 8+2+8 = 18 < 32

y can only has a value < 18

If we use Law of Sines also get y = 32 ... not forming a triangle

Answer:

Q 4. 69

Step-by-step explanation:

Q 4:-

Answer:

150.66

Step-by-step explanation:

Answer:

p=3.5

Step-by-step explanation:

So minus 1/2 on both sides. p= 3.5

Answer:

x = 26

Step-by-step explanation:

180 = (5x-10) + (3x-18)

180 = 8x -28

180 + 28 = 8x

208 = 8x

x = 26

answer

options-

x+y=3, 2x-8y=19, 2x+y=-2, x+2y=2 hope that helps

Step-by-step explanation: