Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options:


A) Reflection along x-axis; Translation: (x, y) → (x, y – 3)

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

C) Reflection along y-axis; Translation: (x, y) → (x, y + 3)

D) Reflection along x-axis; Translation: (x, y) → (x, y)

Answer: x = 27/2

Step-by-step explanation:

2/3x-2=7

2/3x=9

2/3x=27/3

2/3x(3/2)=27/3(3/2)

x=81/6

x=27/2

Answer: x = 27/2

Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.

On the left, -2 and +2 cancel out and were left

with 2/3x and on the right, 7 + 2 simplifies 9.

So we have 2/3x = 9.

In order to get x by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of a fraction is just that fraction

flipped so the reciprocal of 2/3 is 3/2.

So we have (3/2)(2/3x) = 9(3/2).

On the left, the 2's cancel and the 3's cancel.

On the right, 9(3/2) is 27/2.

So x = 27/2

Answer:

[tex]4x^2 - 8x + 20[/tex]

Step-by-step explanation:

The correct equation is:

[tex]8x^3 + 4x^2 + 100[/tex]

We want to divide that by (2x + 5)

To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.

When you get to 0, you have reached the end of the division.

Whatever term you get from each step of division is part of the quotient.

Go over the steps above carefully while following them below:

Step 1:

Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].

Step 2

Multiply [tex]4x^2[/tex] by (2x + 5)  and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:

[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]

Step 3

Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].

Step 4

Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:

[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100

Step 5

Divide 40x by 2x. You get 20.

Step 6

Multiply 20 by (2x + 5) and subtract from 40x + 100:

40x + 100 - (40x + 100) = 0

From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.

Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]

Answer:

y=2/3x+5

Step-by-step explanation:

Parallel lines share the same slope so we already know the slope: 2/3.

Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.

To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.

7=2+b

5=b

Now we can put all the information we have together.

y=2/3x+5

Answer:

hello:

Step-by-step explanation:

If f(x) = -8x - 6 and g(x) = x+8 ,  (f • g) (- 7)= f(g(-7))

but g(-7)=-7+8=1

(f • g) (- 7)= f(1) =-8(1)-6 =-14

Answer:

The width is 23.5 ft and the length is 47 ft

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

141 = 2(l+w)

The length is twice the width

l = 2w

141 = 2 ( 2w+w)

141 = 2( 3w)

141 = 6w

Divide each side by 6

141/6 = 6w/6

23.5 = w

l = 2w = 2(23.5) = 47

The width is 23.5 ft and the length is 47 ft

Answer:

[tex]\boxed{Width = 23.5 \ feet}[/tex]

[tex]\boxed{Length = 47 \ feet}[/tex]

Step-by-step explanation:

Let Length be l and Width be w

Perimeter = 2(Length) + 2(Width)

Condition # 1:

2l+2w = P

=> 2 l + 2 w = 141

Condition # 2:

=> l = 2w

Putting the second equation in the first one

=> 2(2w)+2w = 141

=> 4w + 2w = 141

=> 6w = 141

Dividing both sides by 6

=> Width = 23.5 feet

Given that

=> l = 2w

=> l = 2(23.5)

=> Length = 47 feet

Answer:

93107

Step-by-step explanation:

add all of the numbers together

divide by 5 since there are 5 numbers

you would get 92106.8

so round that up since you cannot have 1/8 of a squirrel

Hope this helps!!

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Answer:

[tex]44^\circ[/tex]

Step-by-step explanation:

The angle measuring [tex]y^\circ[/tex] is formed by two secants intersecting at an exterior point.

The measure of that angle is half the difference between the big intercepted arc and the little intercepted arc.

y = 1/2 (m arc FKB - m arc CGJ)

Plug in the values you know.

56 = 1/2 (156 - m arc CGJ)

Multiply both sides by 2 to clear the fraction.

112 = 156 - m arc CGJ

Subtract 156.

-44 = - m arc CGJ

44 = m arc CGJ

The measure of the little intercepted arc is [tex]44^\circ[/tex].

Answer:

See explanation

Step-by-step explanation:

if multiply the 3 factors together you get

(x² - x - 2)(x - 3) - trinomial x binomial

x³ - 3x²- x² + 3x - 2x + 6 - polynomial

x³ - 4x² + x + 6, this is the polynomial with those factors.

Poly means many so it could be a bigger polynomial with more factors but if it is limited to only these factors than there is just the one polynomial.

The polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3)

A polynomial is the defined as mathematical expression that have a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that ,

P(x) has three factors (x-2), (x+1), and (x-3).

Multiplying the 3 factors together, we get

⇒ (x-2)(x+1)(x-3)

⇒ [x(x-3) - 2(x+1)](x-3)

⇒ (x² - x - 2)(x - 3)

⇒ x³ - 3x²- x² + 3x - 2x + 6

Rearrange the terms likewise and apply arithmetic operations

⇒ x³ - 4x² + x + 6

Hence, the polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3).

Learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ2

Answer:

function 2

Step-by-step explanation:

To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope

Answer is   [tex]h > 1600[/tex]

The convention is to write the variable first on the left side, then the inequality sign, followed by the other side of the inequality.

Writing [tex]h > 1600[/tex] means that h is larger than 1600. Think of an alligator mouth that is represented by the "greater than sign". The mouth opens up to the larger side. In this case, h could be something like 1700 which is larger than 1600. So we'd say [tex]1700 > 1600[/tex] for instance.

Answer:

17.32m ; 110°

Step-by-step explanation:

Distance between X and Z

To calculate the distance between X and Z

y^2 = x^2 + z^2 - (2xz)*cosY

x = 20, Z = 10

y^2 = 20^2 + 10^2 - (2*20*10)* cos60°

y^2 = 400 + 100 - (400)* 0.5

y^2 = 500 - 200

y^2 = 300

y = sqrt(300)

y = 17.32m

Bearing of Z from X:

Using cosine rule :

Cos X = (y^2 + z^2 - x^2) / 2yz

Cos X = (300 + 100 - 400) / (2 * 20 '*10)

Cos X = 0 / 400

Cos X = 0

X = cos^-1 (0)

X = 90°

Bearing of Z from X

= 20° + X

= 20° + 90°

= 110°

Answer:

Using point-slope form we get:

y - 6 = 1/3(x + 6)

y - 6 = 1/3x + 2

y = 1/3x + 8

Answer:

This is NOT a one solution problem.

Step-by-step explanation:

Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.

5.7c-1.5+3.2c=7.8c-1.5+1.1c

5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5

8.9c - 8.9c = 0

0 = 0

No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

Answer:

Option (4)

Step-by-step explanation:

In the picture attached,

m∠NLM = m∠LKN = 90°

In two similar triangles ΔLKN and ΔMKL,

By the property of similar triangles,

"Ratio of the corresponding sides of the similar triangles are proportional".

[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]

By substituting the values given,

[tex]\frac{h}{3}=\frac{2}{h}[/tex]

[tex]\frac{2}{h}=\frac{h}{3}[/tex]

Therefore, Option (4) will be the answer.

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

Answer:

-0.743

Step-by-step explanation:

just plug it into a calculator

Answer:

it is also -sin(48)

Step-by-step explanation:

Answer:

Whats the formula for the area of a rectangle?

L x W.  48 x 36 =  1728 sq inches.

Then divide by (12 x12 ) = 144 to find square feet

Step-by-step explanation:

Answer:

y = 2/5x + 4/5

Step-by-step explanation:

We'll begin by calculating the slope of the equation: y = 2/5x – 1/2

The slope of the above equation can be obtained as follow:

y = mx + c

Where m is the slope.

c is the y-intercept.

y and x are the coordinate.

Comparing:

y = 2/5x – 1/2 with y = mx + c

The slope of y = 2/5x – 1/2 is 2/5.

Now, let us determine the equation parallel to y = 2/5x – 1/2.

This is illustrated below:

The coordinate of the line => (–7, 2)

x1 = –7

y1 = 2

Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.

y – y1 = m (x – x1)

y – 2 = 2/5(x – –7)

y – 2 = 2/5(x + 7)

Clear bracket

y – 2 = 2/5x + 14/5

Rearrange

y = 2/5x + 14/5 + 2

y = 2/5x + 4/5

Therefore, the equation is:

y = 2/5x + 4/5

Answer and Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Now let's solve by using this statement..

1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.

3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.

Hope this helped... If yes plz mark as BRAINLIEST and follow me.

Tysmm!!!

Answer:

H(n) = 234⁽ⁿ⁻¹⁾

Step-by-step explanation:

Hello,

The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.

In this question, the sequence is a geometric progression.

h(n) = h⁽ⁿ⁻¹⁾.(-9)

a = -26

r = common difference

a(n) =ar⁽ⁿ⁻¹⁾

h(n) = -26 × (-9)hⁿ⁻¹⁾

h(n) = 234⁽ⁿ⁻¹⁾

Answer:

−26⋅(−9) ^n-1

Step-by-step explanation:

Answer:

This is my first question but I think it's c

Step-by-step explanation:

25,000-4334=20,666

20,666/2712=7.62 which rounds to 8

Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

Answer:

(1.4, 2.5)

Step-by-step explanation:

[tex]y = x + 1[/tex] ... equ 1

[tex]y =3x - 2[/tex] ... equ 2

subtract equ 1 from 2, we'll have

[tex]0 = 2x - 3[/tex]

[tex]2x = 3[/tex]

[tex]x= 3/2 = 1.5[/tex]

substitute the value of [tex]x[/tex] in equ 1, we'll have

[tex]y = 1.5 +1[/tex]

[tex]y = 2.5[/tex]

therefore, solution to the system of the equation is (1.5, 2.5)

the closest in your option is (1.4, 2.5)

Answer:

590mph

Step-by-step explanation:

Speed with wind = 5525÷ 8.5

= 650mph

speed against wind = 4505÷8.5

= 530mph

speed without wind = (650mph+530mph)÷2

= 590mph

Answer:

115.96

Step-by-step explanation:

=> [tex]9393 / 81 * 1[/tex]

By BODMAS, Dividing first

=> 115.96 * 1

Now, Multiplying

=> 115.96

Answer:

115.962963

Step-by-step explanation:

81 x 1 = 81

9393 ÷ 81 = 115.96

Work Shown:

area of base = 18*17 = 306 square yards

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(306)*(15)

V = 1530 cubic yards

Answer:1530

Step-by-step explanation: length*width*height* divided by 3