19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these​

9514 1404 393

Answer:

 no

Step-by-step explanation:

Using only a straightedge, you cannot measure distance, so cannot ensure that any two distances are the same.

__

The points of interest are on the perpendicular bisector of AB, which can be constructed using a compass and straightedge. The straightedge alone is insufficient.

Answer:

1st box 2nd box 4th box and 7th box

Step-by-step explanation:

Step-by-step explanation:

[tex]\sin(\theta + \phi) = 2\cos(\theta - \phi)[/tex]

Using the addition identity formulas, we can write

[tex]\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}[/tex]

Dividing both sides by [tex]\cos{\phi}[/tex], we get

[tex]\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}[/tex]

Dividing both sides by [tex]\sin{\theta}[/tex], we get

[tex]\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}[/tex]

or

[tex]\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}[/tex]

Rearranging the terms,

[tex]\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}[/tex]

Answer: (1, -1) or x = 1, y = -1

Answer:

Step-by-step explanation:

3y = 5x -1

y = (5/3)x - ⅓

Slope of line is 5/3.

Slope of any parallel to the line is also 5/3.

The value of product will be;

⇒ 16.926

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 1.3 (- 3.1) (4.2)

Now,

Since, The expression is,

⇒ 1.3 (- 3.1) (4.2)

After product, we get;

⇒ 1.3 × (- 3.1) × (4.2)

⇒ 4.03 × 4.2

⇒ 16.926

Thus, The value is = 16.926

Learn more about the multiplication visit:

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Answer:

One of the factors is (x+ 2)

Step-by-step explanation:

[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]

another factor is (6x - 5)

Answer:

Here's your answer: 6 units²

Answer: Fourth Choice. xy + 17x + 6

Step-by-step explanation:

Given

12xy + 20x - 9 - 11xy - 3x + 15

Put like terms together

=12xy - 11xy + 20x - 3x + 15 - 9

Combine like terms through addition/subtraction

=xy + 17x + 6

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  (a)  $3.72

Step-by-step explanation:

The interest is found using the formula ...

  I = Prt

where P is the principal invested at rate r for t years. 3 months is 1/4 year, so the interest is ...

  I = $425×0.035×1/4 ≈ $3.72

Yousef earns $3.72 after 3 months.

Answer:

1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2

2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6

3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8

4) (f / g) x = (x²-4) / (x+2) = x – 2

5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18

I hope I helped you^_^

Answer:

Devon is 50 and Sydney is 25

Step-by-step explanation:

We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.

3s = 75

s = 25

Now we can substitute this in the original equation.

d + 25 = 75

d = 50

Best of Luck~

Answer: Sydney=25 Devon=50

Step-by-step explanation:

Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

Answer:

a)2244 is divisible by 6

Step-by-step explanation:

2244/6=374

1209/6=201.5

2630/6=438.333

2991/6=498.5

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

Answer:

Negative.

Step-by-step explanation:

Negative because there are an odd number of negatives.

For Example:

3 negatives:

- * - * -

= + * -

=  -

Answer:

4.00586

Step-by-step explanation:

yup. so ya.... 20 character reached I hope

If your teacher is referring to four digit numbers with those tiles, where the tiles cant repeat, then we have 2 choices for the last slot (the units digit). Those two choices are: 6,8.

Recall that a number is only even if and only if the units digit is even (0,2,4,6,8).

Once a choice has been made for the units digit, we have...

Overall, we have 2*3*2*1 = 12 different four digit numbers possible.

Those 12 numbers are:

Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

Answer:

17.23

Step-by-step explanation:

Find the cost of the cupcakes

8* 1.59= 12.72

Find the cost of the pies

5*5.99 =29.95

Subtract the cost of the cupcakes from the pies

29.95-12.72=17.23

Answer:

Money spent more on pies than cupcakes = $17.23

Step-by-step explanation:

1 cupcake = $ 1.59

8 cupcakes = 8 * $ 1.59

8 cupcakes = $12.72

1 pie = $5.99

5 pies = 5 * $5.99

5 pies = $29.95

Money spent more on pies than cupcakes = Pies - Cupcakes

Money spent more on pies than cupcakes = $29.95 - $12.72

Money spent more on pies than cupcakes = $17.23

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

y-y1=slope (x-x1)

where x1=-5, y1=-7 and the slope=2÷5

we substitute for x and y

y-(-7)=2÷5{x-(-5)}

y+7=2÷5(x+5)

y+7=(2x+10)÷5 cross multiply

5y+35=2x+10 collect like terms

5y=2x+10-35

5y=2x-25 ......ans

Answer:

18 weeks

Step-by-step explanation:

14 songs / 7 weeks

2 songs per week

36 songs * 1 week/ 2 songs

36 /2 weeks

18 weeks

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

[tex]Speed = \frac{Distance}{Time}[/tex]

So,

[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]

So,

Time taken by Tom = 3 hour

Learn more:

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Answer:

it's the second one

Step-by-step explanation:

the number of zeros behind the first number is the amount of tens! hope it helps!

Answer:

Angle B=90 degrees

BA^C= 40 degrees

Step-by-step explanation:

Angle B=90 degrees (right angle =90 degrees)

90+50+BA^C=180

140+BA^C      =180

           BA^C=180-140

          BA^C= 40 degrees

Answer:

x = –2/3 or –20/9

Step-by-step explanation:

(9x+13)² = 49

Finding the square root of both sides

9x+13 = √49

9x+13 = ±7

Subtracting 13 from both sides

9x = 7 – 13 or 9x = -7 –13

9x = –6 or 9x = –20

Divide both sides by 9

x = –6/9 or x = –20/9

Simplifying

x = – 2/3 or x = –20/9

Answer:

B

Step-by-step explanation:

f(g(x)) = 6(x-8)+12 = 6x-36

f(g(6)) = 36-36 = 0

Answer:

0

Step-by-step explanation:

i took test and got in right and the person above me explained it perfectly :)

Answer:

Step-by-step explanation:

1. C

2. A

3. B

4. A

5. D

6. C

7. A

8. C

9. B

10. D