Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.

Answer:

2 is the correct answer you know it also

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Answer:

points I want ... use of this communication

Answer:

(a+b)(a-b)

Step-by-step explanation:

because (a+b)(a-b):

If you use FOIL it will work backwards

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Answer:

3 less 7x

Step-by-step explanation:

I think soooo

not sure either

Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.

The difference between three and seven times a number.

HOPE THIS HELPS

Answer:

sin90° = 1.

Step-by-step explanation:

Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.

Therefore sin90° = Hypotenuse/Hypotenuse = 1.

Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

Answer:

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Step-by-step explanation:

Given that

Radius = r =x+3

The circumference of a circle is the distance around boundary of the circle.

The circumference of circle is given by the formula.

[tex]C = 2\pi r[/tex]

Putting the value of r, we get

[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]

Hence,

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Answer:

Any real number strictly larger than 9 and strictly less than 21.

Step-by-step explanation:

By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.

We therefore could set up three inequalities.

x+6>15, x+15>6, 15+6>x

Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

9514 1404 393

Answer:

  3.88%

Step-by-step explanation:

The probability that 1 is defective and 3 are not (out of four) is ...

  P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%

__

The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

Answer:

0.0000000000000000..00000000000000000000000

Step-by-step explanation:

Answer:

WZ=

UZ=

Step-by-step explanation:

First, you have to find the x.

3x-6+x+6

Combine like terms

(3x+x) (-6+6)

4x+0

x=4.

WZ=3(4)-6

12-6

6

UZ= (4)+6

10

Answer:

X^2+13x+40=area

Step-by-step explanation:

So its

(x+8)*(x+5)

Now solve

Use FOIL

x^2+5x+8x+40

Now combine

x^2+13x+40

There you have it

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

Answer:

A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

Answer:

1

Step-by-step explanation:

so we have:

f+2>5 2 goes the other side, so

f>5-2

f>3

f+4<9 4 goes to the other side, so

f<9-4

f<5

we have two inequality

f>3

f<5

f belongs (3,5), we have only one value for this, it is 4

It could be 190 because its a half measure