A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Play 13 ft 169 ft 11 ft 17 ft

Answer:

50.7

Step-by-step explanation:

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9514 1404 393

Answer:

  undo what is done to the variable

Step-by-step explanation:

As with any "solve for" problem, it is a good idea to take a look at what is being done to the variable you're solving for.

Starting "as is"

Here, the value 2.5 is added to it, and the sum is multiplied by -5 (which we notice is negative).

In general, you want to "undo" what is done to the variable — in reverse order. What was done:

If we adopt that strategy, it means we first need to undo multiplication by -5. That is, we must either (a) multiply both sides by -1/5, or (b) divide both sides by -5. Either choice will require that the sense of the comparison be reversed, so you will have ...

  ( ) < (x + 2.5)

After that, you need to "undo" the addition of 2.5. That is accomplished by adding -2.5 to both sides of the equation.

__

Simplifying first

For many problems that have fractions and/or parentheses, it can work well to eliminate both before you start with your "undo" strategy. Here, a first step can be to simplify the inequality, eliminating parentheses. This means you will use the distributive property to multiply each term inside parentheses by the (negative) factor outside.

Having done that, you find the "what was done to the variable" list is slightly different:

As a consequence the "undo" steps are slightly different. Addition is still reversed by adding the opposite. Multiplication is still reversed by multiplying by the reciprocal, or by division (same thing).

As before, (and as always), what you do to one side of the inequality, you must also do to the other side. If multiplication or division by a negative number is involved, the comparison symbol must be reversed.

_____

About Negative Multiplication/Division

Above, we have noted that multiplication or division by a negative number requires reversal of the comparison symbol. For example, ...

  starting with -1 > -2

multiplying both sides by -1 gives ...

  ending with 1 < 2

__

When the (only) variable term has a negative coefficient, there is another strategy you can use that does not require the comparison to be reversed. You can add the opposite of that term to both sides of the inequality. For example, ...

  starting with -5x < -38

we can add 5x to both sides to get ...

  0 < -38 +5x . . . . . now the variable has a positive coefficient

This lets us proceed with the solution without worrying about the sense of the inequality. (Note that the variable will be "greater than" some value.)

_____

More about solving strategy

The rules that make Algebra possible are the rules of equality. If you look them up, you may find separate versions for addition, multiplication, subtraction, division. If you realize that subtraction is a form of addition, and that division is a form of multiplication, there are really only two—and those can be simplified to ONE RULE: always do the same operation on both sides of the equal sign. The same rule applies to inequalities. You will stay out of trouble if you remember and follow this rule. (There are many "shortcut" versions that go by names like "cross-multiply" and others. They are basically this rule with some steps not shown.)

When it comes to applying functions to inequalities, you need to consider carefully whether the function preserves the ordering relationship (>, ≥, <, ≤). Some functions do not, or have different behavior in different domains, so paying attention is required. Multiplication by a negative number is just the tip of the iceberg here.

Answer:

of a unit

Step-by-step explanation:

Leave a like and mark brainliest if this helped

Answer:

19

Step-by-step explanation:

5 times 3 equals 15 plus 4 equals 19

Answer:

19

Step-by-step explanation:

5x (x = 3) so it's 5 x 3 = 15

15 + 4 = 19

Answer: 8/100

Step-by-step explanation: I converted 5/10 in 50/100 and subtracted 50 from 58 and got 8 so the answer is 8/100.

Answer:

don't understand

Step-by-step explanation:

one more point. because bobcats scored

14 and huskies scored 15

Answer:

1) r, q, s. 2). 5

Step-by-step explanation:

1) from the given (q) is smaller than (r) and (s) is less than (q) by 2.

2) you need to make all the fractions have the same numerator so you will multiply both the firs and third fraction by 3÷3 ( which is 1 and will not affect the value but will make the numerator of the fractions equal) and the fractions between them is the second fraction and it's denominator is x and there is 5 fractions between the two numbers so there are 5 possible values of x

Answer:

460

Step-by-step explanation:

yeg

Answer:

Step-by-step explanation:

3.14(10²) - 3.14(6²)

3.14(10² - 6²)

3.14(100 - 36)

3.14(64)

200.96

201

i think

Answer:

z = 3

Step-by-step explanation:

First we want to find out how they found the slope of the line. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(6 - 0)/ (4 - z)

Simplify the parentheses.

= (6) / (4 - z)

Simplify the fraction.

= 6/(4 - z)

it is given that 6 is your slope. So let's add 6 to the left side of the equal sign.

6 = 6 / (4 - z)

To solve for z, we need to multiply both sides by (4 - z)

(4 - z)6 = 6

Now, divide both sides by 6 to isolate the expression of (4 - z)

4 - z = 1

Add z to both sides so it becomes positive.

4 = z + 1

Subtract 1 from both sides to isolate z.

3 = z

This is your answer.

Let's check it by plugging it back into the slope formula.

(6 - 0)/ (4 - z)

(6 - 0)/ (4 - 3)

= 6/1

= 6

Your answer is correct.

Hope this helps!

Answer:

no problem

Step-by-step explanation:

Answer:

1/8 lbs

Step-by-step explanation:

there is 4 people so divide 1/4 by 4

Answer:

19 1/11 unit per gallon

Step-by-step explanation:

140/7 1/3

=19 1/11

Answer:

19 1/11 unit per gallon. I think. Good Luck :)

Answer:

1&3

Step-by-step explanation:

both can get a number the same like cuz 4×6=24, 3×2=6 and even if you flip the numbers same answer for both

Answer:

4

Step-by-step explanation:

9 times 4 is 36

and

36 divided by 9 is 4

Answer:

u=4

Step-by-step explanation:

divide 36 by 9 which equals 4

Answer:

price for one sticker $3 17 stickers would cost $51

Step-by-step explanation:

39/13=3

$3/sticker

17x3=51

Answer:

-13

Step-by-step explanation:

Answer:

A. 48

B. 60

C. 150

I’m not sure about D though

Step-by-step explanation:

Answer:

Can you show the graph please?

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

If the yearly salary increase is changed to $ ? , the new equation would be y = ? x + ?.

Let $e for new empolyee.

Let $s for slope for salary.

We know if the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = ?

y = ? the question mark will represent x.

Because $35,000 is the only number, that will be our main goal.

So $35 in shorten, added 25, 20. Which is 45.

With that we do +200 - 45. 155.

So 45+255=300

Answer: 300

Done ✔