Reflect the triangle in the mirror line

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Answer:

(4, 2 ) and (2, 4 )

Step-by-step explanation:

xy = 8 → (1)

y = - x + 6 → (2)

substitute y = - x + 6 into (1)

x(- x + 6) = 8

- x² + 6x = 8 ( subtract 8 from both sides )

- x² + 6x - 8 = 0 ( multiply through by - 1 )

x² - 6x + 8 = 0 ← in standard form

(x - 4)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 2 = 0 ⇒ x = 2

substitute these values into (2) for corresponding values of y

x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )

x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )

Answer:

25/20 or 25:20 ( doesn't matter which)

Step-by-step explanation:

Circles :25

triangles :20

Answer:

25:20 or 5:4

Step-by-step explanation:

The ratio is the circle:triangle

Plug in the values.

25:20 = 5:4

Answer:

C   y  =  20x +40

Step-by-step explanation:

I think there is a typo in your question

monthly payment total   = 20 x

 total paid so far = 40 + 20x

y = 20x + 40

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

__

We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

  m = 32g

Businesses are not to discriminate against their workers based on their nation of origin, but can discriminate based on age.

Discrimination can simply be defined as favoring one person over another based on certain criteria or biases.

In almost all businesses, the law stipulates that certain criteria such as nation of orgin, race, disability among others should not be used against an indivdual. However, for age, certain age limit are permitted to be used by businesses to select employees.

Therefore, all business can discriminate against a worker using age.

Learn more about age discrimination on:

https://brainly.com/question/26408615

False:

A business may discriminate against a worker based on their nation of origin f t

No business are allowed to discriminate

Answer:

[tex]1609.1 m^{3}[/tex]

Step-by-step explanation:

The area of a triangle is 1/2 base * height.

The base of one side is 13, and the height is 30.

30 * 13 = 390

390 / 2 = 195

Now, there are six of these triangle faces, so multiply that number by six.

195 * 6 = 1170

Now, just add the area of the base:

1170 + 439.1 = 1609.1

Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

We have then:

f (x) = 2 ^ x

g (x) = f (x) + k

if k = 2

then,

the graph of g (x) is shifted vertically 2 units up

Answer:

the graph of g (x) is shifted vertically 2 units up

Answer:Letter D

Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.

Answer:

D. x - 4

Step-by-step explanation:

(x - 4)(x + 10)

= x^2 + 6x - 40

A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.

Answer:

1/4

Step-by-step explanation:

Answer:

$0.05

Step-by-step explanation:

3.45 divided by 64

Answer:

sinΘ =1

Step-by-step explanation:

cosΘ × cosΘ/sinΘ+ sinΘ = sinΘ

cos^2 Θ/sinΘ +sinΘ =sinΘ

cos^2Θ+ sin^2Θ /sin Θ = sinΘ

1/sinΘ =sinΘ

Recall that for two vectors x and y,

x • y = ||x|| ||y|| cos(θ)

where θ is the angle between them.

We have

i • (√3 i + j) = √3

||i|| = 1

||√3 i + j|| = √((√3)² + 1²) = √4 = 2

Solve for θ :

√3 = 2 cos(θ)

cos(θ) = √3/2

θ = arccos(√3/2) = π/6

(Note that we assume θ is the acute angle between the vectors.)

y = 4x -21  (again cool name btw) :)

y=4x-3 has slope = to the coefficient of the x term = 4

all parallel lines have the same slope.

y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation

y=4x+b = -5 = 4(4) + b

-5 = 16 + b

-21 = b

b = -21 = the y intercept, so the equation is

y=4x -21

Answer:

The probability of getting gray = no. of gray shades / total

=> 2/7

The probability of getting head when we toss a penny = head / total ( head + tail )

=> 1/2

Answer: The factors would be 1 and 2.

Step-by-step explanation:

I hope that helps!! Please correct me if I am wrong and have a great day!!

Answer:

A.  637

B.  0.2240 (4 dp) = 22.4% (nearest tenth)

Step-by-step explanation:

Normal Distribution

[tex]\sf X \sim N(\mu, \sigma^2)[/tex]

Given:

[tex]\implies \sf X \sim N(190.6, 5.8^2)[/tex]

[tex]\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}[/tex]

Total number of bodybuilders = 1500

Therefore, the number of bodybuilders between 180 and 190 pounds is:

[tex]\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}[/tex]

[tex]\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}[/tex]

Answer:

w = 45

y = 45

Step-by-step explanation:

im really sorry if i got it wrong i just want to help

Answer:

49

There u go :)

Answer:

Given the functions below, f(2) - g(-7) is -34.

Step-by-step explanation:

f(2) - g(-7)

First solve f(2).

f(x) = -|3 - 8x|

Substitute variable.

f(2) = -|3 - 8(2)|

Multiply.

f(2) = -|3 - 16|

Subtract 16 from 3.

f(2) = -|-13|

Apply absolute value.

f(2) = -13

Now solve g(-7).

g(x) = x² + 4x

Substitute variable.

g(-7) = (-7)² + 4(-7)

Raise -7 to the second power.

g(-7) = 49 + 4(-7)

Multiply 4 and -7.

g(-7) = 49 - 28

Subtract 28 from 49.

g(-7) = 21

Now with those values, lets go back to our original equation.

f(2) - g(-7)

Substitute known values.

-13 - 21

Subtract 21 from -13.

-34.

Answer:

$49.90

Step-by-step explanation:

Thats what i got :)

Wow some people get PAID to babysit ?!!? XD

Answer:

3 is D

4 is F

Step-by-step explanation:

Just multiple the numbers together

Answer:

x=13/33 and y=12/33

Step-by-step explanation:

x=13/33 and y=12/33

Answer:

60%

Step-by-step explanation:

15 of the 25 students are boys

number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class

=15/25 ×100%

=60%

Answer:

The area would be 196 cm or 1.96 meters.

Step-by-step explanation:

Since it is a square, all of the sides are the same length.

So we do 14*14 to find the area.

14*14 = 196

So the answer is 196 cm or 1.96 meters.

A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.

Ratio is used to show or express the number of times a number is in proportion to another number.

Ratio can be inform of the following:

Example of ratio is 1:2 or 1/2.

Therefore A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.

Learn more about ratio here:https://brainly.com/question/2328454

Answer:

17.35

Step-by-step explanation:

All all divide by how many there were

Answer:

17.35

Step-by-step explanation:

Find the mean by adding all the numbers up and dividing by the amount of numbers in the data set

Step-by-step explanation:

median -> $24.710+$25.180=$49.89

$49.98÷2=$24.945

mode -> $25.520 and $24.710

mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25

$249.25÷10=$24.925

mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)

median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)

mode (the number you see the most, mode *most*)

I hope all this helped, this took time. Take care!