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3 years ago

8

Juan wants to find two numbers such that their sum is 33 and their difference is 13. The equations that will help him find the a

nswer are _ and _. The two numbers are _ and _.

2 answers:

bija089 [108]3 years ago

6 0

$2x - 13 = 33 \\ 2x = 33 + 13 \\ 2x = 46 \\ \frac{2x}{2} = \frac{46}{2} \\ x = 23$
33-23=10. 10+23=33. 23-10=13
the numbers are 23 and 10

saveliy_v [14]3 years ago

3 0

Answer:

The equations are a + b = 33 and a - b = 13

The numbers are 23 and 10

Step-by-step explanation:

Let the numbers be a and b.

Their sum is 33 and their difference is 13

We have sum of a and b is 33 that is

a + b = 33

We have difference of a and b is 13 that is

a - b = 13

Adding both equations

a + b + a - b = 33 +13

2a = 46

a = 23

23 + b = 33

b = 10

The numbers are 23 and 10

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Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: $(a^m)^n = a^m^n$

So plug the numbers in the property: $(17^{6}) ^3$ = $17^1^8$

Product Property: $(a^m)(a^n) = a^m^+^n$

We plug the equation in with $(17^{6}) ^3$ turned into $17^1^8$ ---

$(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9$

So the answer is $17^9$ , which is D

I hope this helps!
Please give Brainliest!

Have a great day!

7 0

2 years ago

Read 2 more answers

Divide: –65.86 ÷ (–7.4)

Rina8888 [55]

Answer:

8.9

Step-by-step explanation:

The answer is 8.9 because two negatives divided by each other equals a positive. In this case, there are two negatives so you know the answer will be a positive. In the end when you divided –65.86 ÷ (–7.4), you get 8.9!

Hope this helps, have a good day. c;

(You can also type it into your calculator if you have one, and you should hopefully get the same answer.)

3 0

3 years ago

In the diagram shown, the distance between points A and C is the same as the distance between points B and G.

Over [174]

I believe the answer is parallel

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2 years ago

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Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.

Maru [420]

Answer:

$9\text{ln}|x|+2\sqrt{x}+x+C$

Step-by-step explanation:

We have been an integral $\int \frac{9+\sqrt{x}+x}{x}dx$ . We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

$\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx$

$\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx$

Now, we will apply the sum rule of integrals as:

$\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx$

$9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx$

Using common integral $\int \frac{1}{x}dx=\text{ln}|x|$ , we will get:

$9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx$

Now, we will use power rule of integrals as:

$9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx$

$9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2\sqrt{x}+\int 1dx$

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

$9\text{ln}|x|+2\sqrt{x}+x+C$

Therefore, our required integral would be $9\text{ln}|x|+2\sqrt{x}+x+C$ .

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2 years ago

Setler [38]

Answer:

yes

Step-by-step explanation:

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2 years ago