What is the formula for the Pythagorean theorem? Select all that applies

Arrange the equations in increasing order of the value of their solutions.

Ulleksa [173]

See the explanation

<h2>Explanation:</h2>

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

$f(x)=g(x)$

For each graph, $f(x)$ will be drawn in red while $g(x)$ will be drawn in blue.

Case 1:

$f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x$

So by equating both equations:

$\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x$

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

Solution:

$\boxed{x=2}$

See First Figure below.

Case 2:

$f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-5.8}$

See Second Figure below.

Case 3:

$f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-1}$

See Third Figure below.

Case 4:

$f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7$

Applying a similar method as in case 1.

Solution:

$\boxed{x=-6}$

See Fourth Figure below.

<h2>Learn more:</h2>

Methods for solving system of equations: brainly.com/question/10185505

#LearnWithBrainly

5 0

3 years ago

Read 2 more answers

Help me I got 25 missing assignments

serious [3.7K]

$0.5 - ( - 10.5 \times 5) + 40.5$ = $\boxed{93.5}$

A. 93.5 ✅

Step-by-step explanation:-

$0.5 - ( - 10.5 \times 5) + 40.5 \\ = 0.5 - ( - 52.5) + 40.5 \\ = 0.5 + 52.5 + 40.5 \\ = 93.5$

Note:-

$\sf\purple{BODMAS\: rule.}$

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

$\sf\red{(-\:x\:-)\:=\:+}$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

6 0

3 years ago

Read 2 more answers

You buy painting supplies for $12,

Troyanec [42]

Answer:

9

Step-by-step explanation:

If you want to get $15 profit, You will need to paint 9 faces. You spent $12 on painting supplies so this is the explanation.

$3 x 9 = $27

$-12 + $27 = $15

That way, you earn $15.

6 0

3 years ago

Hiiiiii peoples Solve the inequality 6x^2-x<2 please show all steps

Orlov [11]

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

1

:

Equation at the end of step 1

((2•3x2) - x) - 2

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-2

The first term is, 6x2 its coefficient is 6 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3

6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (3x-2)

Add up the last 2 terms, pulling out common factors :

1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (3x-2)

Which is the desired factorization

Final result :

(3x - 2) • (2x + 1)

4 0

4 years ago

How do i solve for equations that have 2 variables

sergey [27]

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12 -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

8 0

4 years ago