The length is :____ meters and the width is ____meters.

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

check picture uploaded to see steps

children = 201

adults = 277

Step-by-step explanation:

the volume of this object is the sum of the volume of the 2 blocks.

the large block is a cube of 4×4×4 = 64 ft³

the small block is 1×1×2 = 2 ft³

so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.

Answer:

528

Step-by-step explanation:

22x24=528

Answer:528$

Step-by-step explanation: you have to do 22 dollars times 24 students which would be 528

Answer:

If the whole transaction is written separately from the beginning, an algebraic equation is obtained

Step-by-step explanation:

[tex]4x = s[/tex]

[tex] - 2x = w[/tex]

[tex]w \times s = - 8 {x}^{2} [/tex]

[tex]w = s = s \times s = 16 {x}^{2} [/tex]

[tex] - 8 {x}^{2} + 16 {x}^{2} = 8 {x}^{2} [/tex]

This is the way to get the answer

Answer:

about 14 percent but the exact is 14 3

Answer: 8.

Step-by-step explanation: There are 4 sizes, so let's say that the sizes are small, medium, large, and extra large.  There are 2 flavors, so let's say that the flavors are chocolate and vanilla.  The possible combinations are below:

As you can see, there are 8 possible combinations that she can choose from as far as 4 sizes and 2 flavors go.

Have a great day! :)

Answer:

52, 53, 54, 55, 56, 59, 60, 61, 62, 88

Step-by-step explanation:

You need to start from 52 to 88 (least to greatest) and then you will get answer.

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.

Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is defined by:

d = b² - 4 · a · c   (1)

There are three rules to determine the number of possible intercepts:

Then, we have to find a value of b so that (1) has the following form:

b² - 4 · 3 · (-24) = 0

b² - 288 = 0

b = 12√ 2

The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]

The answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:

The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?

To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747

Answer:

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation:

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

Learn more about function on:

https://brainly.com/question/25638609

The area of the rectangular base is the amount of space on the rectangular base

The area of the rectangular base is 60 square inches

The question is incomplete; as the diagram is not given.

So, I will apply the concept of similar shapes to determine the area of the rectangular base

To determine the area of the rectangular base, we make use of the following equivalent ratio:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Read more about areas at:

https://brainly.com/question/24487155

Answer:

2.5km

Step-by-step explanation:

1000m=1km

We have 2500m

2500m=2.5km

Answer:

Yes

Step-by-step explanation:

The third largest side is 7 and the other two sides added are bigger than seven.

2 + 6 = 8

Is this answer accurate?

Answer:

B

Step-by-step explanation:

A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect

B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct

C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect

Answer: sqrt(285)

Step-by-step explanation:

Answer:

2.013  to 3 DP's.

Step-by-step explanation:

f(4.04)  will be very close to the tangent line.

Equation of tangent line

is y - 4 = m(x - 10)

m = (4-2) / (10-4) = 1/3

y - 4 = 1/3(x - 10)

y = 1/3x - 10/3 + 4

y = 1/3x + 2/3

So the require estimate of f(4.04)

= 1/3(4.04) + 2/3

= 2.013333

Answer:

It equals 4

Step-by-step explanation:

1 + 1 x 3=4

Answer:

I think it equals 4

Step-by-step explanation:

1 + 1 x 3=4

Answer:

[tex]x=2; y=1[/tex]

Step-by-step explanation:

Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.

[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]

Better, now let's simplify the expression and let's use the new system

[tex]x+y=3\\x-y=1[/tex]

Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.

Answer:

Top left.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

160mm2 is the correct answer

Step-by-step explanation:

Answer:

You have a deficit of $142.20

Step-by-step explanation:

Given

Solving

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19

Answer:

A

Step-by-step explanation:

If y is a function of x, then the equation for y would be y=Ix(+or-or*or%) to nI

For this specific event, the proper equation would be y=Ix-0.5I

Breaking down this equation, y equals the absolute value of x-0.5.

So if x was 2, it would go as y=I2-0.5I where y equals 1.5.

Answer:

49x-21y-6

Step-by-step explanation:

7(7x) 7(-3y) -6

49x-21y-6=0

Answer:

108

9×12

Step-by-step explanation:

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Answer:

-3,5

Step-by-step explanation:

[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]

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

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]25 = (x - 1) {}^{2} + 9[/tex]

[tex]16 = (x - 1) {}^{2} [/tex]

[tex]4 = x - 1[/tex]

[tex]x = 5[/tex]

Or

[tex] - 4 = x - 1[/tex]

[tex]x = - 3[/tex]

Answer:

Henry will need 6 screwdrivers.

Answer:

Henry will need 6 screwdrivers.

Step-by-step explanation:

[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]