9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

Learn  more about Scale Factor here :

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Step-by-step explanation:

please see it my steps to work this problem

Answer:

5^8         MARK AS BRAIN Leist  please thank me

Step-by-step explanation:

Answer:(9/4,27/2)

Step-by-step explanation:

Answer:

2 positive unit tiles is needed

Step-by-step explanation:

Given the expression x^2 – 3x – 10, the partial factorization is as shown;

x^2 – 3x – 10

=  x^2 +2x – 5x – 10

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

= (x-5)(x+2)

Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)

From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization

Answer:

B i think

Step-by-step explanation:

Step-by-step explanation:

2002 can be rounded to a compatible number such as 2000.

2000 / 2 = 1000.

They each received around 1000 marbles.

Answer:

-1.4

Step-by-step explanation:

Answer:

The answer is 6 (A)

Step-by-step explanation:

The exact answer is 5.73, but I think in the question they are rounding to the nearest whole number, so the rounded answer is 6.

My work:

C = 2πr

r = C

2π = 36

2·π = 5.72958

Answer:

Total Tim's score = 0 points

Step-by-step explanation:

Given:

Total number of question missed = 12

Each correct question mark = 6 points

Find:

Total Tim's score

Computation:

Total Tim's score = Total correct question x Each correct question mark

Total Tim's score = 0 x 6 points

Total Tim's score = 0 points

Answer:

2in

Step-by-step explanation:

Since we are not given the type of polygon, let the polygon be an hexagon. An hexagon is a 6 sides shape. The perimeter of the shape will be the sum of all the sides of the polygon

Perimeter of the polygon = 6L

Length is the length of the side

Given

Perimeter of the polygon = 12in

Substitute and get L

P = 6L

12 = 6L

L = 12/6

L = 2in

Hence the length of side x of the polygon is 2in

Final Answer: 34 months

Steps/Reasons/Explanation:

Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.

For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.

Now we have to add them up. 24 months + 10 months = 34 months.

~I hope I helped you :)~

Answer:

v = 13

Step-by-step explanation:

Truly hope I helped fast enough:).

Step-by-step explanation:

1)3(x+15)=57

3x+45=57

3x=57-45

3x=12

x=12/3.

x=4

2)2(x-9)=26

2x-18=26

2x=26+18

2x=44

x=44/2

x=22

3)4(x-12)=-32

4x-48=-32

4x=-32+48

4x=+16(greater number sign)

x=16/4

x=4

Answer:

Step-by-step explanation:

Combine your like terms!

Hope this helps!

Answer:

1 foot by 8 inches

Step-by-step explanation:

Answer:

With wind = 1000 km /hr

In calm air = 800 km/hr

Step-by-step explanation:

With wind :

Distance traveled = 1500 km

Time taken = 1.5 hours

Speed of plane in air :

Speed = distance / time

Speed = 1500 km / 1.5 hours

Speed = 100 km pe hour

In calm air :

Time taken = 1.875 hours

Distance = 1500 km

Speed of wind in calm air :

Distance / time

1500 km / 1.875

= 800 km/hr

Answer:

She has $3.74 in quarters. I'm kind of confused but hopefully this helps??

Step-by-step explanation:

0.75 x 5= $3.75

$3.75/0.25= 15 quarters

Answer:

l

Step-by-step explanation:

Answer:

7.61577

Step-by-step explanation:

Answer:

300 in²

Step-by-step explanation:

The TV screen is rectangular in shape.

Thus:

Length of the rectangular screen = 15 in.

Diagonal of the rectangular screen = 25 in.

To find the area of the rectangular screen, we need the length and the width of the screen.

Use pythagorean theorem to find the width as shown below:

[tex] a^2 + b^2 = c^2 [/tex], where:

a = width = ?

b = 15 in.

c = 25 in. (The hypotenuse/longest side)

Plug in the values into the equation

[tex] a^2 + 225 = 625 [/tex]

Subtract 225 from each side

[tex] a^2 = 400 [/tex]

Take the square root of both sides

[tex] a = 20 [/tex]

width of the screen = 20 in.

Thus,

Area of the screen = length × width

= 15 × 20

Area = 300 in²

Step-by-step explanation:

y = -3x² + 12x - 33

y = -3[x² - 4x + 11]

y = -3[(x - 2)² + 7]

Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.

Therefore the correct option is A.

Answer:

8

Step-by-step explanation:

The expression you need to use would be

3x+12=36.

Subtract 12 from both sides

3x=24

Divide by 3

X=8

Answer:

33:79

Step-by-step explanation:

We are told that a factory is going to hire 33 new employees.

and the total applicants is 79

In this problem, we want to represent the situation as a ratio of new hires to applicants

Since the question says  new hires to applicants

Hence, the ratio will be

33 to 79

or

33/79, we can simplify this as

33:79

Answer:

2/3 more pizza

Step-by-step explanation:

because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)

Answer:

8

Step-by-step explanation:

10 down plus 2 up equals 8

Answer:

1

Step-by-step explanation:

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

Answer:

14 2/3

Step-by-step explanation:

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