If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box

Answer:

increase by 25%

Step-by-step explanation:

15-12=3

12÷3=4

4=25%

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

$2.00 US Dollars is the answer

Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

Answer:

(-10,-7)

Step-by-step explanation:

Lets start with the equation y>-3x+7

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

Now lets do the equation y<4/5x-2

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

So, the point (-10,-7) is not a solution to the system of equations.

Answer:

Step-by-step explanation:

Answer:

These equations describe two lines that intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4.

Step-by-step explanation:

We can find the point where these two lines intersect by taking one of the equations, solving it for x, and substituting it into the other equation.

[tex]y = -4x + 4\\-4x = y - 4\\4x = 4 - y\\x = 1 - \frac{y}{4} \\\\y = 3x + 11\\y = 3(1 - \frac{y}{4}) + 11\\y = 3 - \frac{3y}{4} + 11\\y + \frac{3y}{4} = 3 + 11\\\frac{4y}{4} + \frac{3y}{4} = 14\\\frac{7y}{4} = 14\\y = \frac{4}{7} * 14\\y = 4 * \frac{14}{7}\\y = 4 * 2\\y = 8[/tex]

Now we can plug that into our first equation to find x

[tex]x = 1 - \frac{y}[4}\\x = 1 - \frac{8}[4}\\\\x = 1 - 2\\x = -1[/tex]

So these lines intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4

Answer:

80%

Step-by-step explanation:

Not so sure about the answer, but hopefully it helps.

Answer:

The unit rate is $9.20 per toy

Step-by-step explanation:

Since the total of the toys is 46, you divide by 5, to see how much each toy is

Answer:

m=-1/4

Step-by-step explanation:

Perpendicular lines are negative reciprocals.

So if you have a slope of m= 4x you can break it up into, two parts

                         m= -4x

this is the negative^

and the reciprocal of m= -4x is m= -1/4x

The slope of the green line if the lines are perpendicular would be -1/4.

If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other.

That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a.

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

For the two lines two be perpendicular, the product of their slope must be -1.

Let the slope of the red and green line be m1 and m2.

Given the following

The Slope of red line = 4

According the definition, we get,

4m2 = -1

m2 = -1/4

Hence, the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here:

brainly.com/question/1202004

#SPJ5

Answer:

15 degrees

Step-by-step explanation:

Answer:

1.1  ithink

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I did it in FLVS

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Answer:

True

Step-by-step explanation:

The formula for the area of a circle is πr² where r is the radius. So if 3 is the radius, plug it into the formula:

π(3²)

Simplify it:

π(9)

This can be rewritten as:

9π

So, the answer is true

Hope this helps! :)

Answer:

537.64

Step-by-step explanation:

Answer:

gfdxkcgftdkrxclfdrkyxcfdretkx

Step-by-step explanation:

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

Answer:

for neg its -6-6 and for the right side 8-3

Step-by-step explanation:

Answer:

PY = 3 sqrt 3

Step-by-step explanation:

Hope it helps.

Answer:

y= 3(x+5)^2 -4