Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

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Answer:

Step-by-step explanation:

y=mx+b

m=dy/dx=(0-8)/(4-0)=-8/4=-2

y=-2x+b, using point (4,0)

0=-2(4)+b

b=8

y=-2x+8

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

From the given function in terms of D the elevation of the car above sea

level can be determined.

Responses:

Given:

The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;

Elevation above sea level = 7500 - 250·D

Where;

0 ≤ D ≤ 6

Required:

The meaning of the slope and intercepts of the graph of the function.

Solution:

From the given linear function, of the elevation of the car, we have;

Learn more about linear functions here:

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I believe the balance would be $10,601.42

Hopefully that is the right answer

Answer:

The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.

The zeros are important because that is when the ball is at the ground.

The ball is thrown at (0,8), or at 8 units up

Step-by-step explanation:

Answer:

Step-by-step explanation:

34 and m=7

Answer:

34 and m=7...

Answer:

Step-by-step explanation:

3⅔ = 11/3

1¼ = 5/4

length = area ÷ width

= (11/3) ÷ (5/4)

= (11/3) × (4/5)

= 44/15

= 2 14/15 inches

Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

Answer:

25 degrees decreased by 60% is 10

Answer:

She will complete 14 bags of cookies

Step-by-step explanation:

Here, we want to know the number of bags to be completed by the sharing

What we have to do here is to divide the total weight of the bag of cookies by what each cookie bag can take

We have this as;

10 1/2 kg divided by 3/4 kg

= 21/2 divided by 3/4

= 21/2 * 4/3 = 14 bags

Answer:

39

Step-by-step explanation:

Answer:

$1,800

Step-by-step explanation:

If Mo pays 1/2 of the rent then he is paying 50%. Charlie is paying another 25%. This leaves the remaining 25% that Andy pays. Since Andy's payment amount is 450 then that means that 450 is equal to 25% of the total rent. Therefore, we simply need to multiply this amount by 4 to get the 100% of the overall rent.

450 * 4 = $1,800

Finally, we can see that the total rent amount is $1,800

Answer:

722.24 cm

Step-by-step explanation:

The volume formula is L X W X H = V  so using that information we can do 18.5 times 32 times 12.2 which gives us 722.24 cm.

Answer:

a) -2

b) ½

c) y= ½x +6

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

Step-by-step explanation:

(5-\/5)²

25-10\/5+5

30-10\/5

Here, a=30 and b=-10

Answer:

x = 69 degrees

Step-by-step explanation:

180 - 146 = 34

180 - 77 - 34 = 69

x = 69 degrees

Answer:

x= -7/5

y=-6/5

one solution I believe. Hope this helps!

Answer:

10x I think

cause X divide by 6 is X/6

then X/6 x 60min(1h) is 60x/6 which is 10x

hope this helps:))

Answer:

C

Step-by-step explanation:

since there cant be technically half of someone (i hope not) the domain has to be "whole numbers". hours can be split, so they are "all numbers". well, looking at it again, it is C, since the others can not possibly be correct.

Answer:

190π (not part of the answer choices)

Step-by-step explanation:

The surface area of a cylinder can be found using the formula below:

[tex]SA=2\pi r^2+\pi dh[/tex] where [tex]r[/tex] is the radius of the base, [tex]d[/tex] is the diameter of the base and [tex]h[/tex] is the height of the cylinder.

Plug in the given values

[tex]SA=2\pi (\frac{10}{2}) ^2+\pi (10)(14)\\SA=2\pi (\frac{100}{4})+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi[/tex]

Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.

I hope this helps!

Answer:

(-2,5)

Step-by-step explanation:

because 2 units to left of the y axis makes it a negative and it makes it on the z axis so you get negative 2 then 5 units above the x axis gets just 5 so that's how you get (-2,5)

Step-by-step explanation:

2x + y = 21

Solving

2x + y = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

2x + y + -1y = 21 + -1y

Combine like terms: y + -1y = 0

2x + 0 = 21 + -1y

2x = 21 + -1y

Divide each side by '2'.

x = 10.5 + -0.5y

Simplifying

x = 10.5 + -0.5y

9514 1404 393

Answer:

  4 2/3 ohms

Step-by-step explanation:

The resistance is the ratio of voltage to current.

  R = V/I

  R = (14)/(3) = 4 2/3 . . . ohms

Answer:

The answer is 35cm squared :D

Step-by-step explanation:

Answer:

The answer is 35! I just did it, and it's 35!

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

The number next to the variable is the coefficient. So, it is 2

Answer:

B

Step-by-step explanation:

2 is the coefficient and x is the variable.