select all the expressions that are equivalent to 16^5/2

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Answer:

9.9

Is the answer to the question

Answer:

slope of a line parallel to this line= -3/8

slope of a line perpendicular to this line= 8/3

Step-by-step explanation:

The general equation of a line in terms of a and b is:

y=ax+b  where a=slope

in order to get the slope of the line we have to write its equation as the form shown above:

3x+8y=1

8y= -3x+1

y= (-3/8)x+(1/8)

so slope= -3/8

Parallel lines have equal slopes

⇒ slope of parallel line= -3/8

The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:

⇒ slope of perpendicular line= -(-8/3) = 8/3

[tex](D)\ d(r)=7\times (0,75)^2[/tex]

[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]

[tex]so\ at\ 1\le r\le 7[/tex]

[tex]d(y)=7x(0,75)^2[/tex]

I hope this helps you

:)

Answer:

b) Show that c= 52 and a =18 is a solution to

tickets sold and a represents the number of

this equation (not system).

Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Let number of children ticket sold be c.

Let number of adult ticket sold be a.

Cost of one children ticket = $4.

Cost of one adult ticket = $10.

Total sales = $388

Linear equation that models the above equation: 4c + 10a = 388

Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.

LHS: 4c + 10a = 4*52 + 10*18 = 388

RHS: 388

Hence, c = 52 and a = 18 is a solution to the linear equation.

Multiplying 2 to both sides of the equation:

2(4c + 10a) = 2(388)

8c + 20a = 776

Substituting c = 52 and a = 18.

8(52) + 20(18) = 776

c = 52 and a = 18 is still a solution to the linear equation.

Learn more about linear equation here

https://brainly.com/question/11897796

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Answer:

5

Step-by-step explanation:

used a cal

Answer:

5

Step-by-step explanation:

-30 / -6 = 5

-6 * x = -30

(drop the negatives)

30 / 6 = 5

-6 * 5 = -30

Answer:

2.75 feet

Step-by-step explanation:

I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.

Hope this helps! :)

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry

Answer:

You'll need to find the area first.

18ft x 25ft= 450ft

Area is 450ft.

Area divided by $6.00 = 75

The total cost is $75 dollar for the whole room flooring.

Answer:

  they are the same

Step-by-step explanation:

The number of guests seated were, in each case, ...

  (guests per table) × (number of tables)

__

For Santa, this product is ...

  X × Y

For Mrs. Claus, this product is ...

  Y × X

The commutative property of multiplication tells you that ...

  XY = YX

The numbers of guests were the same.

Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

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Answer:

w = 5

Step-by-step explanation:

6w/6 = 30/6

= 5

Answer:

180

((10 + 20/2) * 12 = 180

Step-by-step explanation:

Step-by-step explanation:

Given;

b = 10cm

a = 20cm

h = 12cm

Area of trapezoid = 1/2 *h*(a+b)

                               = 1/2 *12* ( 20+10)

                               = 180cm^2  

I believe it's right two down one

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Answer:

x<2

Step-by-step explanation:

5<-5(3x-7)

divide by 5

1<-3x+7

3x<7-1

3x<6

x<2

Answer:

2.25 miles

Step-by-step explanation:

1/4 of 9 is 2.25

Answer:

2.25 miles away

Step-by-step explanation:

first make 1/4 a percent

second set up a proportion

then solve the proportion and then you get 2.25 and add a label

Answer: 4

Step-by-step explanation:

i just guessed and it was right, sorry i don't have a better explanation than that

Answer:

END OF EACH YEAR

-1 442.395

-2 449.91

-3 457.56

-4 465.34

-5 473.25

-6 481.29

-7 489.481

-8 497.80

-9 506.26

-10 514.87

however, how much INTEREST

514.87-435=

79.8

Answer:

There are 2 x-intercepts

Step-by-step explanation:

The equation has 2 x variables, so the graph would have 2 x -intercepts.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use the discriminant method, we have to find discriminant of the given quadratic function, if discriminant is greater than 0, then it has two intercepts, if it is equal to 0, then it has 1 intercepts and if it is smaller than 0, then it has no x intercepts.

[tex]\qquad \sf  \dashrightarrow \:D = {b}^{2} - 4ac[/tex]

where, a, b and c are coefficients of x², x and constant term. D = discriminant

[tex]\qquad \sf  \dashrightarrow \:D = {( - 30)}^{2} - 4(22 \times 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 4(22 )[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 88[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 812[/tex]

Discriminant is greater than 0, hence it has two x - intercepts.

Answer:

There are 3 terms

Step-by-step explanation:

Answer:

- 1/3

Step-by-step explanation:

m = slope of a line

Perpindicular slope = - 1/m

 = - 1/3

Let slope of that line be m

We know product of slopes of two perpendicular line=-1