1 Negative numbers do not need the
negative sign (-) in front of them.
O True
O False​

Answer: 58

Step-by-step explanation:

The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?

Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.

Digit sum of a two digit number is 6:

x+y=13

Reverse the digits and you get 27 more than the original value:

10y+x=10x+y+27

Now let's solve:

y=13-x

10(13-x)+x=10x+(13-x)+27

130-10x+x=130x-10x + 27

130-9x=9x+40

-90=18x

x=5

y=13-5

y=8

So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.

The value of original number is, 58.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sum of digits in two-digit number is 13.

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

Now, Let the one's place digit is y and the ten's place is x of the original number.

Then, We get;

⇒ x + y = 13  .. (i)

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

So, We get;

⇒ 10y + x = 27 + 10x + y

⇒ 10y - y + x - 10x = 27

⇒ 9y - 9x = 27

⇒ y - x = 3

⇒ y = x + 3   ... (ii)

Substitute the value of y from (ii) in (i), we get;

⇒ x + y = 13

⇒ x + x + 3 = 13

⇒ 2x = 13 - 3

⇒ 2x= 10

⇒ x = 5

And, From (ii);

⇒ y = x + 3  

⇒ y = 5 + 3

⇒ y = 8

Thus, The original number is,

⇒ 10x + y = 10 × 5 + 8

               = 50 + 8

               = 58

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Answer:

y = -2/3x + 4

Step-by-step explanation:

Use formula for slope given two points.

m = (y2 - y1)/(x2 - x1)

The two points are (0, 4) and (6, 0)

m = (0 - 4)/(6 - 0)

m = -4/6

m = -2/3

y = -2/3x + b

The y-intercept b is 4.

Answer:

y = 1

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is

y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1

Answer:

If it is on the maximum, then the y-value of the point cannot be any higher and  still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.

Answer:

A

Step-by-step explanation:

Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.

Answer:

the answer is option a because all the expression in option a is written descending power form.

Answer:

Period: 2pi  vertical shift: 2 units up

Step-by-step explanation:

Answer:

D. period: 4pi; vertical shift: 2 units up

Step-by-step explanation:

Just did the test right now hope this helps some of yall :)

Hey there! :)

Answer:

5m - 2.

Step-by-step explanation:

We can use long division to divide the two expressions:

             5m - 2

5m - 2 | 25m² - 20m + 4

            25m² - 10m

           -

            0m² - 10m + 4

                    -10m  + 4

                  -

                      0

The quotient of this operation is 5m - 2.

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

Answer:

A,C,and D are parralelograms

The parallelogram are shapes with figures having opposite sides which are parallel

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , from the figure 1

a)

The figure is having opposite sides are parallel

where AB = CD

And , BC = AD

So , it is a parallelogram

b)

The figure does not have any sides parallel

So , it is not a parallelogram

c)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

d)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

Hence , the parallelogram is solved

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Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

One reusable bottle cost $8.12

Step-by-step explanation:

Let

x=total cost of the two reusable bottles

Ms stone has 5/8 if the total cost of the two reusable bottles

5/8 of x=$10.15

5/8*x=10.15

x=10.15÷5/8

=10.15×8/5

=81.2/5

=16.24

x=$16.24

The total cost of of the two reusable bottles=$16.24

If total cost of two reusable bottles=$16.24

Cost of one reusable bottle=$16.24/2

=$8.12

One reusable bottle cost $8.12

Answer:

D

Step-by-step explanation:

[tex]y=\frac{-9x-5}{-8}[/tex]

factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]

Answer:

Option D is the correct option.

Step-by-step explanation:

Given that

9x - 8y = 0

finding y-intercept

put x = 0 , we get

9(0) - 8y + 5 = 0

Calculate the product

-8y + 5 = 0

Move the constant to L.H.S and change its sign

-8y = 0 - 5

Calculate the difference

-8y = -5

divide both sides of the equation by -8

-8y/-8 = -5/-8

Calculate

y = 5/8

Hope this helps...

Good luck on your assignment...

Step-by-step explanation:

a, 3

b,

draw lines through the corresponding corners of each shape  These lines will cross at the centre of enlargement O

Answer:

Step-by-step explanation:

0.026803

Answer:

see below

Step-by-step explanation:

Multiplication and division are also inverse operations

15 * 10 = 150

150 ÷10 = 15

Divide 150 by 10 and we get 15 back

The division undoes the multiplication

This also works in reverse

150 ÷ 10 = 15

15*10 =150

The multiplication undoes the division

Answer:

si

Step-by-step explanation:

Answer:

The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary. 

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Step-by-step explanation:

Answer:

The discriminant is -31.

Step-by-step explanation:

The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.

(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.

Hope this helps!

Answer:

The polynomial "4ab+9a" is a quadratic binomial

Step-by-step explanation:

It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms

Answer:

y=9/2x-11/2

Step-by-step explanation:

-2y=11-9x

y=11-9x/-2

y=9/2x-11/2

Answer:

y= 9/2x - 11/2

or

y=4.5x -5.5

Step-by-step explanation:

To solve for y, we must get y by itself on one side of the equation.

9x-2y=11

9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from  both sides.

9x-9x -2y= 11-9x

-2y= 11-9x

y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.

-2y-/2= 11-9x/-2

y= 11/-2 - 9x/-2

y=- 11/2 +9/2 x

or

y= -5.5 +4.5 x

Reorder the terms.

y= 9/2x - 11/2

or

y=4.5x -5.5

Answer:

22.467

Step-by-step explanation:

Hello,

You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred

x sqrt(x)

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

and do the sum which is 22.467

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

300

Step-by-step explanation:

First let's square all the integers from 1 to 10 inclusive. We get:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100.

Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.

Therefore, we obtain 

0+0+0+0+0+0+0+100+100+100,

or 300.

Step-by-step explanation:

AD ≅ BC, Given

∠BCD ≅ ∠ADC, Given

CD ≅ CD, Reflexive property

ΔBCD ≅ ΔADC, SAS congruence

∠BDC ≅ ∠ACD, CPCTC

ΔECD is an isosceles triangle, definition of isosceles

DE ≅ CE, properties of isosceles triangles

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

Answer:

Step-by-step explanation:-

-

-8239910.76

Answer:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.

Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

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Answer:

11 feet by 39 feet.

Step-by-step explanation:

In this case, the perimeter, P, is 100 ft.

If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.

So, we have an equation: P = 2 * L + 2 * W.

100 = 2 * (6 + 3W) + 2 * W

100 = 12 + 6W + 2W

100 = 12 + 8W

8W + 12 = 100

8W = 88

W = 11

And so, we know that the width is 11 feet.

To solve for the length...

L = 6 + 3W

L = 6 + 3 * 11

L = 6 + 33

L = 39

So, the length is 39 feet.

Now, you have the dimensions of the shed: 11 feet by 39 feet.

Hope this helps!

Answer:

1) [tex]7 \frac{11}{16} [/tex]

2) [tex] \frac{7}{15} [/tex]

Step-by-step explanation:

1) Let's convert the mixed fraction into a improper fraction.

[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]

Let the number be x.

[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]

2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]

[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]

[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]

Answer:1/2

Step-by-step explanation:

8-2/5--7

6/12

1/2

hope i helped

can i have brainliest pls? (desperately trying to level up)

         -Zylynn

Answer:

[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

[tex]f\circ g[/tex] does not exist.  

Step-by-step explanation:

It is given that,

[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]

[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]

We need to find the composition gof.

[tex](g\circ f)(x)=g(f(x))[/tex]

Now,

[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]

[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]

[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]

So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

We need to check whether [tex]f\circ g[/tex] exist of not.

If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.  

Now,

Range of g(x) = {3,6,8}

Domain of f(x) = {1,3,5}

Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.