Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

Answer:

a.[tex]\frac{x+10}{5} = 9.5[/tex]

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

[tex]9.5 = \frac{x+10}{5}[/tex]

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50

x+y,=3

x_y=-3

A.,(0,3)

B. (0,3)

C. (0,6)

D. (0 _3)

1 hour = 60 minutes.

Convert the minutes to decimals by diving by 60

30/60 = 0.5

2 hours and 30 minutes = 2.5 hours

45/60 = 0.75

5 hours 45 minutes = 5.75 hours

15/50 = 0.25

3 hours 15 minutes = 3.25 hours

Ow add all the hours:

2.5 + 5 + 5.75 + 3.25 = 16.5 hours

Answer: B. 16.50

Answer:

Option A, 86°

Step-by-step explanation:

each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°

now, a+b+c+d-94° = 180°-94° = 86°

Answer:

D 266°

Step-by-step explanation:

a+b+c+d-94°

90°+ 90°+ 90°+ 90° -94°

360°-94°

266°

Answer:

SSS

∆PQR = 43

Step-by-step explanation:

The postulate to solve ∆PQR ≅ ∆STU is SSS. Both of the triangles have all three sides given, which means it can be solved for congruence.

9 + 6y + 5 + 14 = 9 + 8y +14

28 + 6y = 9 + 8y + 14

28 + 6y = 8y + 23

      -6y    -6y

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

  28 = 2y + 23

 -23           -23

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

      5 = 2y

     ----   ----

      2      2  

  2.5  =   y

9 + 14 + 6(2.5) + 5

23 + 15 + 5

 23 + 20

     43

∆PQR = 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

[tex]\\ \sf\longmapsto 7x-20=6x-1[/tex]

[tex]\\ \sf\longmapsto 7x-6x=-1+20[/tex]

[tex]\\ \sf\longmapsto x=-19[/tex]

Now

[tex]\\ \sf\longmapsto m<A=7x-20=7(-19)-20=133-20=113[/tex]

Area of Rectangular prism = 2(wl+hl+hw)

Height = 9ft

Width = 11ft

Length = 12ft

Area = 2(11(12) + 9(12) + 9(11))

Area = 678ft²

Must click thanks and mark brainliest

Answer:

678 ft^2.

Step-by-step explanation:

The surface area consists of 3 pairs of congruent rectangle.

= 2(9*12 + 11*12 + 9*11)

= 2 * 339

= 678.

Answer:

1. multiplication

2. division

3. bracket

4. division

5. bracket

6. division

Answer:

Step-by-step explanation:

what

Answer:

that language is this

Step-by-step explanation:

Answer: x = 18

Concept:

Here, we need to know the idea of the isosceles decomposition theorem.

The Isosceles Decomposition Theorem states that in an isosceles triangle if a line segment goes from the vertex angle to the base, the following conditions are equivalent:

In this question, the first condition that is equivalent would be useful.

Solve:

Given information

First side of the line segment (TU) = 2x + 24

Second side of the line segment (UR) = 5x - 30

Given expression deducted from the first condition of the isosceles decomposition theorem

Second side = First side

Substitute values into the expression

5x - 30 = 2x + 24

Add 30 on both sides

5x - 30 + 30 = 2x + 24 + 30

5x = 2x + 54

Subtract 2x on both sides

5x - 2x = 2x + 54 - 2x

3x = 54

Divide 3 on both sides

3x / 3 = 54 / 3

[tex]\boxed{x=18}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

27.8

Step-by-step explanation:

Refer to the image attached.

Answer:

27.8 degrees to the nearest tenth.

Step-by-step explanation:

Using the Cosine Rule:

8^2 = 16^2 + 17^2 - 2.16.17cosY

cosY = (8^2 - 16^2 - 17^2) / (-2.16.17)

= 0.88419

Y = 27.848 degrees

Answer:

69.08 inches

Step-by-step explanation:

Circumference = diameter x pi. In this case, diameter x 3.14.

diameter = 22

22 x 3.14 = 69.08 inches

Brainiest please!

I'm assuming your trying to find the weight of the math book so here it is:

Answer:

4 5/36

Step-by-step explanation:

You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.

Answer: answer one is hard to read             Answer 2: 0.0020661157

Step-by-step explanation:

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760= 484

Answer:

b) 7 (1, 2,3,5,7,11,13)

c) 0

d) 5

e) 8

Answer:

5, 2

Step-by-step explanation:

hope u got it.........

Answer:

y = 5x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

Answer:

7

Step-by-step explanation:

Consider the absolute value of the difference , that is

| - 5 - 2 | = | - 7 | = 7

or

| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7

Answer:

7

Step-by-step explanation:

Difference is - sign so the equation is: 2- -5 which is 7. Or

think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7

Answer:

2(x-3)=2x-6

2x-6=2x-6

2x+2x=6+6

4x=12

4 4

x=3

Step-by-step explanation:

answer x=3

Answer:

< B has the largest angle measure.

as it is opposite to longest side of triangle.

Answer:

x=2

y=-3

Step-by-step explanation:

2x+y = 1

3x+2y = 0

Multiply the first equation by -2

-4x-2y = -2

Add this to the second equation

-4x-2y = -2

3x+2y = 0

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

-x = -2

Multiply by -1

x = 2

Now find y

2x+y = 1

2(2) +y = 1

4 +y = 1

Subtract 4 from each side

y = 1-4

y = -3

Answer: y = -2x + 1

Solution to the system: (2,-3)

Step-by-step explanation:

2x + y = 1

3x + 2y = 0

We can solve this using substitution

The first thing that we're going to want to do is solve for y in the first equation

Solve for y

2x + y = 1

Subtract 2x from both sides

y = 1 - 2x

We now have the two equations

y = -2x + 1 and 3x + 2y = 0

The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation

3x + 2y = 0

Substitute -2x + 1 for y

3x + 2(-2x + 1) = 0

Now solve for x

Distribute the 2 to the -2x and 1

2 * -2x = -4x

2 * 1 = 2

We now have 3x - 4x + 2 = 0

Combine like terms

-x + 2 = 0

Add x to both sides

2 = x

Now to find the value of y we substitute the value of x into one of the equations and solve for y

2x + y = 1

x = 2

2(2) + y = 1

Multiply

4 + y = 1

Subtract 4 from both sides

y = -3

The solution to the system is (2,-3)

And we are done!

Answer:

Hello,

Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left

Step-by-step explanation:

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Answer:

b. 8

Step-by-step explanation:

Simplify the left side by dividing the top and bottom by 5

35/5 = 7

40 /5 = 8

7/8

Hey there!

35/40 = 7/x

Cross Multiply the fraction

35(x) = (7)(40)

→ 35x = 280

DIVIDE 35 to BOTH SIDES

35x/35 = 280/35

CANCEL out: 35/35 because that gives you 1

KEEP: 280/35 because that helps solve for the x-value

→ x = 280/35

x = 8

Therefore, your answer is most likely: 8 (Option B)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

9514 1404 393

Answer:

  x +3y = -3

Step-by-step explanation:

The midpoint of the segment with the given end points is ...

  M = ((4, 1) +(2, -5))/2 = (6, -4)/2 = (3, -2)

The difference between coordinates of the given points is ...

  (∆x, ∆y) = (4, 1) -(2, -5) = (2, 6)

__

The equation of the perpendicular bisector can be written as ...

  ∆x(x -h) +∆y(y -k) = 0 . . . . line through (h, k) ⊥ to one with slope ∆y/∆x

  2(x -3) +6(y -(-2)) = 0

  2x +6y +6 = 0 . . . . . simplify to a general-form equation

To put this in standard form, we need the constant on the right, and all numbers mutually prime. We can subtract 6 and divide by 2 to get there.

  2x +6y = -6

  x + 3y = -3

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then

C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )

Answer:

x = 0 and 3 other real roots. See below.

Step-by-step explanation:

This is what you wrote:

[tex] 3x + \dfrac{1}{x^2} - 1 = \dfrac{2}{x} - 2 + \dfrac{x}{x} - 1 [/tex]

I don't think that is what you meant to write.

I think you meant to write this:

[tex] 3x + \dfrac{1}{x^2 - 1} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

I'm going to answer the second equation because that is what I think you meant.

[tex] 3x + \dfrac{1}{(x - 1)(x + 1)} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

[tex] 3x(x - 1)(x + 1)(x - 2) + (x - 2) = 2(x - 1)(x + 1) + x(x + 1)(x - 2) [/tex]

[tex] (3x^2 - 6x)(x^2 - 1) + x - 2 = 2x^2 - 2 + x(x^2 - x - 2) [/tex]

[tex] 3x^4 - 3x^2 - 6x^3 + 6x + x - 2 = 2x^2 - 2 + x^3 - x^2 - 2x [/tex]

[tex] 3x^4 - 7x^3 - 4x^2 + 9x = 0 [/tex]

[tex] x(3x^3 - 7x^2 - 4x + 9) = 0 [/tex]

[tex] f(x) = 3x^3 - 7x^2 - 4x + 9 [/tex]

[tex] f(-3) = -123 [/tex]

[tex] f(-2) = -35 [/tex]

[tex] f(-1) = 3 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(1) = 1 [/tex]

[tex] f(2) = -3 [/tex]

[tex] f(3) = 15 [/tex]

One root is x = 0.

There is a root between x = -2 and x = -1.

There is a root between x = 1 and x = 2.

There is a root between x = 2 and x = 3.

Plot the graph of f(x) = 3x^3 - 7x^2 - 4x + 9 and try to read the other three roots.

Answer:

-62

Step-by-step explanation:

2 (32- (4 -1)^3 )

2 {32 - [tex](4-1)^{3}[/tex]}        

2{ 32 - ([tex]4^{3}[/tex] - [tex]1^{3}[/tex])}

2 { 32 - ( 64 - 1 ) }

2 { 32 - 63)

2 ( -31)

-62

Answer:

10

Step-by-step explanation:

Given

2 [ 32 - (4 - 1)³ ] ← evaluate parenthesis

= 2 [ 32 - 3³ ] ← evaluate exponent

= 2 [ 32 - 27 ] ← evaluate bracket

= 2 × 5

= 10