If ab = 5 and a + b =10 Evaluate a^2 + b^2

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Answer:

y=-2x+3

Step-by-step explanation:

y=mx+b

m=-2,b=3

so, y=-2x+3

hopes this helps

Answer:

A'C'=AC=3

Step-by-step explanation:

Answer:

C: 3 units

Step-by-step explanation:

Just think about it... 180 degrees rotated is exactly opposite rotation degree.

If you rotate 90 degrees, the triangle will end up on quadrant 4.

Rotate 360 degrees, the triangle will stay in the same quadrant.

In conclusion, C is the best option

Answer:

−36.89

31.22

Step-by-step explanation:

branly is the best way to clean up the house and I will be there at the same time I don't have a car

Answer:

Step-by-step explanation:

The second picture has:

The pattern is:

Correct option is A

Answer:

3/5,0

Step-by-step explanation:

y=3-5x

5x+y= 3

y. = 3/5x

I think so answer is 3/5,0

Answer:

It would be the last one square root of 6 over 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given expression:

This is undefined when the denominator is zero:

Correct choice is B

Answer:

[tex] \sf \: \dfrac{(x - 5)(x + 2)}{x + 1} [/tex]

Now,

Taking denominator as 0

x + 1 = 0

x = 0 - 1

x = -1

Answer: This is written in Expanded form.

Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.

Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1

Answer: The number is 7

Step-by-step explanation:

Let x be the [number]

Rephrase the expression

2 times a number is increased by 4, it is the same as 25 decreased by the number

2x+4=25-x

Calculate

Given

2x+4=25-x

Add x on both sides

2x+4+x=25-x+x

3x+4=25

Subtract 4 on both sides

3x+4-4=25-4

3x=21

Divide 3 on both sides

3x/3=21/3

x=7

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

The equation 5(x - 3) = 10x - 15 has one solution, which is x = 0.

Let's simplify the given equation:

5(x - 3) = 10x - 15

Distribute the 5 on the left side:

5x - 15 = 10x - 15

Now, let's isolate the variables on one side by subtracting 5x from both sides:

-15 = 5x - 15

Next, add 15 to both sides:

0 = 5x

Divide both sides by 5:

0/5 = 5x/5

0 = x

Therefore, the equation simplifies to 0 = x. This means that x is equal to 0.

So, the equation 5(x - 3) = 10x - 15 has one solution, which is x = 0.

Learn more about equation click;

https://brainly.com/question/29657983

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Answer:

1ft≤h≤25ft

Step-by-step explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most that is the area of the rectangle cannot be greater than 400

Substitute the given value into the inequality expression

Lh ≤ 400

Given

L = 16

16h ≤ 400

Divide both sides by 16

16h/16 ≤ 400/16

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since we cannot have a negative value for the dimension

Answer: None

Step-by-step explanation:

You have to either solve for x or y by getting x/y in both equations the same value to cancel them out. In my steps I will solve for x:

-20x - 16y = -20

10x + 8y = 10

----------

1.) Multiply 10x + 8y = 10 by 2

-20x - 16y = -20

20x + 16y = 20

2.) Cancel out values

All parts cancel out.

Answer: No solution

Expression:

4x - 2x

Simplified:

2x

Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

answer is x=8

hope that helps lol

Answer:

I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)

Step-by-step explanation:

Answer:

x=−7

Step-by-step explanation:

Step 1: Add 5 to both sides.

−3x−5+5=16+5

−3x=21

Step 2: Divide both sides by -3.

−3x/−3=21/−3

Answer:

x = -7

Step-by-step explanation:

Hello.

I can help.

To solve algebraic equations all you need to do is get rid of everything on the side of the x except the x.

Lets look at your problem.

-3x - 5 = 16

An important thing to note is we are going to get rid of things on the left side of the = by doing the opposite of what they're doing.

If it is addition we do subtraction

If it is division we do multiplication

and so on.

ALSO

Whatever we do on the left side of the = we must do the same thing to the number on the right.

Now, let us start trying to solve this.

You always want to start with the number that is alone without the variable / letter.

So :

-3x - 5 = 16

Since it is -5 lets add 5 to make it 0 and get rid of it.

-3x - 5 = 16

     +5  +5

(Remember to do it to the other side of the = too)

Now we have :

-3x = 21

Now we want to get rid of the 3 attached to the x. And since these two are multiplying we need to divide the -3 by itself to make it 1. Since one number divided by itself is 1.

So like this :

-3x = 21

/-3    /-3

NOTE : When you are dividing or multiplying negative numbers there is an important key to be aware of. Here is a short key to go off of :

- x - = +

- x + = -

So a negative times a negative will be a positive.

While a positive times a negative, the negative will over ride the positive and the answer will be negative.

Going back to the equation, here is what we do :

-3x / -3 = +x (Not negative)

And :

21 / -3 = -7 (Is negative)

So now our equation is :

x = -7

And this is our final answer.

I hope this helped.

If you have any questions or concerns do comment or message me. :)

Answer:

x = 104 degrees

y = 76 degrees

z = 104 degrees

quadrilateral have to add up all of their interior angles to 360 degrees.

x and c are  opposite interior angles.  after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.

Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.

Answer:

m∡x = 104°

m∡y = 76°

m∡z = 104°

Step-by-step explanation:

m∡A ≅ m∡C

m∡B ≅ m∡D

to find m∡B:  2(104) + 2y = 360

                       208 + 2y = 360

                       2y = 152

                        y = 76

m∡z:  180° - 76° = 104°

i didn't watch it but i liked that men's soap commercial

Answer:

D

Step-by-step explanation:

Solving the inequality

- 3x + 5 > 4 ( subtract 5 from both sides )

- 3x > - 1

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative value.

x < [tex]\frac{1}{3}[/tex]

The only value not less than [tex]\frac{1}{3}[/tex] is 4 → D

Answer:

x = -2

Step-by-step explanation:

Isolate the variable (or x) by subtracting 25 from both sides.

We do this and get 7x = -14

Divide both sides by 7 and we get x = -2

Answer: 1020p

Step-by-step explanation:

The total cost of the bells will be:

= 12p × 30 = 360p

She sells 3/5 of the bells for 50p each. This will be:

= (3/5 × 30) × 50

= 18 × 50p

= 900p

She sells the remaining 2/5 for 40p each. This will be:

= (2/5 × 30) × 40

= 12 × 40

= 480p

Then, total revenue will be:

= 900p + 480p

= 1380p

Profit = Revenue - Cost

= 1380p - 360p

= 1020p

do 20 x 3.14 and then youll have your anwser...id use a calculator btw

Then round it to the nearest whole number and BOOM anwser!!

i got 62.8 so round that and youll have ur anwser

Answer:

20 Divided By 5 = 4 or 5 x4 = 20

Step-by-step explanation: