Given the figure below, which of the following equations is correct?

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:

Answer:

x = 37/11

Step-by-step explanation:

7(x + 2) - 5(x + 3) = 9(4 - x)

=> 7x + 14 - 5x - 15 = 36 - 9x

=> 2x - 1 = 36 - 9x

=> 11x = 37

=> x = 37/11

Hoped this helped.

Answer:

go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf

Step-by-step explanation:

i think that will help

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

[tex]y - y _{1} = m(x - x _{1})[/tex]

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

Answer: 21

Step-by-step explanation:

[tex]z+15=?\\[/tex]

Substitute the value of z into the expression:

[tex](6)+15=21[/tex]

Answer:

21

Step-by-step explanation:

have a good day

Answer:

46875

Step-by-step explanation:

Men  :Women = 5 : 8

Total parts = 5+8 = 13

Total number be x

[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]

Number of men = 121875 - 75000 = 46875

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

Answer:

Step-by-step explanation:

4 × (2a - 1)

a = 3

4 × (2a - 1)

= 4 × (2(3) - 1) [Substituting the value of a=3]

= 4 × (6 - 1) [Simplification]

= 4 × 5 [On further simplification]

= 20

Hence, 20 is the required answer.

Answer:

20

Step-by-step explanation:

a = 3

4 × (2a - 1) =

= 4 × (2 × 3 - 1)

= 4 × (6 - 1)

= 4 × 5

= 20

[tex] \: \: \: \: \: [/tex]

[tex](x,y) = ( - 8,0)[/tex]

[tex] \: \: \: \: [/tex]

Answer: first and third choice

Step-by-step explanation:

it would be the first and third choices. the first choice employs the distributive property— it distributes b to x and c.

the third choice performs opposite operations. so instead of multiplying b by (x+c) it does the opposite and divides it by both sides

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

the answer of ur question is 0.25

Answer:

26.0

Step-by-step explanation:

87.2-61.2= something

something is= 26

Answer:-108

Step-by-step explanation:

you need to put them in order from least to greatest 4, 36, -12, -108

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

Answer: 1.8125 gallons = 29 cups

Step-by-step explanation:

There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.

The number of gallons, in this case, is: 1.8125

So, we need to multiply 1.8125 by 16

1.8125 ⋅ 16 = 29

In the final analysis, 1.8125 gallons is equal to 29 cups.

,  Hope this helps :)

Have a great day!!

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

Answer:

1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.

[tex]1 m^{2} = 10,000 cm^{2}[/tex]

[tex]1 mm^{2} = 0.01cm^{2}[/tex]

[tex]1 km^{2} = 1,000,000 m^{2}[/tex]

Now, using that knowledge, we can find the answers to all questions.

1) 0.15 [tex]m^{2}[/tex]

2) 0.086 [tex]m^{2}[/tex]

3) 0.1 [tex]cm^{2}[/tex]

4) 600,000 [tex]cm^{2}[/tex]

5) 0.0001 [tex]km^{2}[/tex]

6) 400 [tex]cm^{2}[/tex]

7) 52,100 [tex]mm^{2}[/tex]

8) 500,000 [tex]m^{2}[/tex]

9) 0.087 [tex]mm^{2}[/tex]

10) 50 [tex]cm^{2}[/tex]

That's all folks!

Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

Answer:

0.70512820512 round to the nearest hunderth

Step-by-step explanation:

Answer:

A. One solution

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10

Cancel equal terms on both sides.

6=-5-3x/10

Multiply both sides of the equation by 10.

60=-50-3x

Move the variable to the left-hand side and change the sign.

60+3x=-50

Move the constant to the right-hand side and change the sign.

3x=-50-60

Calculate the difference.

3x=-110

Divide both sides by 3.

x=-110/3

=-36 2/3

Meaning one solution.

Hope this helps :)

Answer:

The answer you are looking for is A

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

Answer:

-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7

Step-by-step explanation:

when x increases by one, so does y. The slope of the line is 1 btw.

Answer:

(12+20)x=240

Step-by-step explanation:

x=number of hours

If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.

Hope this helps :)

Answer:

english?

Step-by-step explanation: