For each question, solve for the length of the unknown side, asdenoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.

Answers

Answer 1

Answer:

Answer:

$a=9$

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ( $a^(2) +b^(2) =c^(2)$ ) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is $a^(2) +b^(2) =c^(2)$ to only get a because we want to know what a is.

Rearranged: $a=\sqrt{c^(2)-b^(2) }$ or $a=-\sqrt{c^(2)-b^(2) }$ It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

$a=\sqrt{15^(2)-12^(2) }$

-Simplify it:

$a=√(225-144)$

-Subtract inside the radical:

$a=√(81)$ Then simplify it to get $a=9$ .

You can check your answer by putting a back into the original Pythagorean Theorem formula ( $a^(2) +b^(2) =c^(2)$ ):

Steps

-Plug a, b, and c into the formula $a^(2) +b^(2) =c^(2)$ :

$(9)^(2) +(12)^(2) =(15)^(2)$

-Simplify to get:

$81+144=225$

-Add:

$225=225$ This is very true. So our answer is correct.

ANSWER: $a=9$

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer 2

Answer:

Answer:

a = 9

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

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Help anyone please???

The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 units
shifted left 7 units
shifted right 7 units
shifted down 3 units

Answers

The general vertex form of a parabola is y = a(x-h)^2 + k

Any changes in "a" denotes shrinking or stretching
Changes in "h" denotes being shifted to the left or to the right. If the value of "h" when x - h = 0 is positive, then it is shifted to the right. Otherwise, it is shifted to the left.

As seen in the given vertex form g(x) = 2(x – 7)^2 – 95; x - 7 = 0; x = 7. Therefore, the graph is shifted right 7 units.

Answer:

Step-by-step explanation:

shifted right 7 units

Divide 12 sweets in the ratio 5:1

Answers

Answer:

2.4

Step-by-step explanation:

Write 2.11111... as a fraction.

Answers

Answer:

19/9

Step-by-step explanation:

x=2.1 repeating

10x=21.1 repeating

subtract x from 10x and you get 9x=19

divide by 9 on both sides of the equal sign to get x=19/9

Are lines of symmetry for any given polygon also diagonal?

Answers

yes it can be !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

yes it is as long as the line your making is making the shape symmetrical

The graph of the linear equation 3x + 5y
= 15 cuts the x-axis at the point ________.

Answers

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15 Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Translate the sentence into an inequality.Nine subtracted from the product of 5 and a number is at least -28

Answers

The given sentence into an inequality is 5x-9≥-28.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, nine subtracted from the product of 5 and a number is at least -28.

Let the unknown number be x.

nine subtracted from the product of 5 and a number

5x-9

So, inequality is 5x-9≥-28

Now, 5x≥-28+9

5x≥-19

x≥-19/5

x≥-3.8

Therefore, the given sentence into an inequality is 5x-9≥-28.

To learn more about the inequalities visit:

brainly.com/question/20383699.

#SPJ5

Answer:

5x - 9 ≥ -28

Simplifying gives:

x ≥ -3.8

Step-by-step explanation:

Nine subtracted from the product of 5 and a number is at least -28

Let the number be x so;

5x - 9 ≥ -28

5x ≥ -28 + 9

5x ≥ -19

x ≥ -19/5

x ≥ -3.8

For each question, solve for the length of the unknown side, asdenoted by the variable. You may round your answers to the nearesttenth, if necessary. Make sure you show all steps needed to solve theproblem.

Answers

a = 9

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What are inequalities?

For each question, solve for the length of the unknown side, asdenoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.