The answer to question 5 is “x(x-2y)(3x-2y)” and the answer to question 6 is “(x-y)(2-x+y)”. I know these answer cause I have the answer book but I don’t know how to get the answer . Can some one solve questions 5 and 6 with the steps to get these answers cause I have to show my work but I don’t understand how to get the answers . Also use the substitution method like I did in question 4.(urgent !!)

The approximate area of the park on the grid is: E. about 40 km² to 50 km².

The number of square on a coordinate grid that is covered determines the area covered. We can make an estimate by counting how many of this square on the coordinate grid that is covered, then find out the area depending on how much square area each grid represents.

In the coordinate plane given, which shows a park, we are told that each of the square on the grid equals 1 k = square kilometer.

The number of each of these squares we can find that is covered by the park on the grid is: 48 squares.

Therefore, the area of 48 squares on the grid = 48 × 1 = 48 km². Since not all squares are fully covered by the park, we can state that the approximate area of the park on the grid is: E. about 40 km² to 50 km².

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Rounding to the closest tenth of a cubic unit, the shaded solid's volume is 45.4 cubic units.

The 3D shape of a rectangular prism has six rectangular faces. Multiply a rectangular prism's three dimensions—length, width, and height—to determine its volume. Cubic units are used to measure volume.

The following formula can be used to determine a rectangular prism's volume:

Vr = Height * Width * Length

Triangular prism volume Vt is determined by its base area and height.

concerning the rectangular prism;

Vr = 1.7 × 1.7 × 4

Vr = 11.56 units in 3

Regarding the triangular prism

Vt = 0.5 × 5.7 × 5 × 4

Vt = 57 unit3

Volume of the solid shaded by Vt - Vr

The solid's shaded volume is equal to 57 - 11.56.

The colored solid's volume is 45.44 cubic units.

Due to this, the shaded solid's volume, when rounded to the nearest tenth of a cubic unit, is 45.4 cubic units.

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The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).

It follows from convention that an arithmetic sequence is usually defined by an expression of the form;

T(n) = T(1) + (n-1)×d in which case, d = common difference.

Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).

Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.

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The possible value of y are 16, 32 and 64

The table above is an exponential table.

Therefore, let's confirm the ratio of the y axis.

8 / 4 = 2

4 / 2 = 2

Therefore, the other y axis can be gotten as follows:

y = 8 × 2 =  16

y = 16 × 2 = 32

y = 32 × 2 = 64

y = 64 × 2 = 128

Therefore, the possible value of y are 16, 32 and 64

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The answers are :

Proof 1

2. Vertically Opposing Angles (V.O.A) (vertically opposite angles are equal)

Proof 2

3. Alternate angles (alternate angles of a transversal are equal)

4. ASA congruence (2 angles and 1 side, where the side is between the angles)

Answer: it’s 128 (also what you did on my question was not cool, do better)

Step-by-step explanation:

We know the height is 6 and the length is 2 more than the height then the length is 8 (6+2=8) and then you solve for volume and get 128

The correct answer for the volume of the pyramid is [tex]128[/tex] cm³.

Given:

Square base edge  lenght 2 cm than the height of the pyramid.

Height of the pyramid is 6 cm.

Square base edge length = Height of pyramid + 2cm

= 8 cm.

Base area:

Area of the square is calculated as side².

Area of square = 8*8

= 64 cm²

Volume of pyramid is calculated as [tex]\dfrac{1}{3} *basearea*height[/tex]

[tex]\dfrac{1}{3}*64*6\\\\ =128[/tex]

The volume of the pyramid is [tex]128[/tex] cm³.

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Correct option is A. The value of f(3) is -11

The value of x = 3 corresponds to the following function on the piece wise

[tex]f(x) = -3x -2[/tex]

Substitute 3 for x

[tex]f(3) = -3(3) -2[/tex]

Expand

[tex]f(3) = -9 -2[/tex]

Evaluate -9 -2

[tex]f(3) = -11[/tex]

Hence, the value of f(3) is (a) -11

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Answer: A.) -11

Step-by-step explanation: i hope this helps :)

Answer:

-4

Step-by-step explanation:

Wehn dealing with order of operations, we can remember the expression PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction.

So, our first step in the above problem is the parentheses:

[tex]2(3-5)^3+4(-4+7)\\2(-2)^3+4(3)[/tex]

The second step is exponents:

[tex]2(-2)^3+4(3)\\2(-8)+4(3)[/tex]

The third step is multiplication:

[tex]2(-8)+4(3)\\-16+12[/tex]

The fourth and final step is addition:

[tex]-16+12\\-4[/tex]

Answer:  All-day ride passes cost $15 each

Step-by-step explanation:

It was $20 in total for everyone to get in, so subtract that from $65 to just focus on the all day passes

65-20=45

So the all day passes all together cost $45

Since your uncle bought it for you and 2 friends that's 3 people in total so divide 45 by 3

45 divided by 3 = 15

So each of the all day passes cost $15

Hope this helped  :)

Step-by-step explanation:

so ,

Question 6 :-

5 × (3+4) - 4

first solve the Bracket ......

5 × (7) - 4

after multiplication ......

35 - 4

= 31

so , Answer is 1st one ....

Question 7 :-

8 + 1/2 × (6-2) -1

so , here also solve the Bracket first .....

8 + 1/2 × (4) - 1

after multiplication .....

8 + 2 - 1

after + and - .......

10 - 1

= 9 .......

so , Answer is 2nd one .....

Answer:

Q6: 5 times the sum of 3 and 4, then subtract 4.

Q7: Add 8 to half the difference of 6 and 2, then subtract 1.

Step-by-step explanation:

[tex]5 \times (3 + 4) -4[/tex]

• First of all, we can see that 5 is being multiplied by something, so we can say "5 times...".

• Next we see that the 5 was being multiplied by the sum of 3 and 4, so we can combinedly say "5 times the sum of 3 and 4...".

• And finally, we see that 4 is taken away from the result. Therefore we can say " 5 times the sum of 3 and 4, then subtract 4".

[tex]8 + \frac{1}{2} \times (6-2) -1[/tex]

• Firstly, we can see that 8 is being added to something, so we can say "Add 8...".

• Next, we see that 8 was being added to [tex]\bf \frac{1}{2}[/tex] of something, so we can combinedly say "Add 8 to half of...".

• Then we see that the difference (i.e., result of subtraction) of 6 and 2 was being halved. Therefore we say "Add 8 to half of the difference of 6 and 2...".

• Finally, we can see that 1 is subtracted from the result. Therefore, we can say "Add 8 to half of the difference of 6 and 2, then subtract 1".

The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.

This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.

Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.

Therefore, the Option C is correct.

Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"

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The value of x in the equation –x (–1) = 3x (–5) is x = 1

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

–x (–1) = 3x (–5)

Remove the bracket in the above equation

-x - 1 = 3x - 5

Collect the like terms in the above equation

3x + x = 5 - 1

Evaluate the like terms in the above equation

4x = 4

Divide both sides by 4 in the above equation

x = 1

Hence, the value of x in the equation –x (–1) = 3x (–5) is x = 1

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Answer:

-3, or D

Step-by-step explanation:

The height of the ground from the base of the window is 144 inches.

One angle of a right angle triangle is equals to 90 degrees.

Therefore, the sides and angles of the right triangle can be found using trigonometric ratios.

tan x = WY / XY

tan x  = opposite / adjacent

tan x = 24 / 8

x = tan⁻¹ 3

x = tan⁻¹ 3

x = 71.5650511771

x = 71.60°

tan 71.60 = h / 48

cross multiply

h = 48 tan 71.60

h = 48 × 3

h = 144 inches

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Answer:

5) 3(2+3x)+4(y+2x)-6

Step-by-step explanation: its gone be -6 either way

The solution of the equation is (2, 1).

x=2 and y=1

A mathematical assertion that two expressions are equal is known as equating. It can be expressed as either an identity, in which case the variables can take on any value, or a conditional equation, in which case the variables can only have specific values (roots).

We have two options for finding the answer. The first is to solve the equations via term elimination:

x + 3y = 5  ..............1

x - 3y = -1  ...............2

2x = 4 ..............3

With the equation, we can determine x. (3)

x = 4/2

x = 2

To determine y, we may now swap out x=2 in equation (1).

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

We've discovered x and y now.

x=2

y=1

The second method involves removing x from equation 1.

x + 3y = 5

x = 5 - 3y

In the equation right now, we may substitute x = 5 - 3y.........  (2)

x - 3y = -1

(5 - 3y) - 3y = -1

5 - 6y = -1

6y = -6

y = 1

Currently, we can change y=1 in equations (1), (2), or (4) to find x.

We'll apply the equation (1)

x + 3y = 5

x + 3(1) = 5

x + 3 = 5

x = 2

The two variants x = 2 and y = 1 have allowed us to confirm this.

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Step-by-step explanation:

Area of rectangle= length × breadth

A= a²+6a+8

= a²+4a+2a+8

= a(a+4) + 2(a+4)

= (a+4)(a+2)

length= a+4

breadth= a+2

Answer:

13. x^2 + y^2 = 3

14. B

Step-by-step explanation:

13. Since it's centered at the origin, (0, 0), the values of h and k in (x - h)^2 + (y - k)^2 =  r^2 are equal to zero. So we simply have x^2 + y^2, and since the radius is the square root of 3, squaring the radius gives us 3.

14. B is the only circle with both a radius of 3 that's also shifted to the right 1 and down 2, since it's centered at (h, k), which is (1, -2).

Hope this helps! Brainliest, please :)

Answer:

1/2.x+3(x-1)-5=30

1/2.x+3x-3-5=30

(1/2+3)x-8=30

7/2.x-8=30

7/2.x=38

7x=76

x=76/7

CMIIW

Answer: 3

Step-by-step explanation:

We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:

[tex]\frac{hypotenuse}{leg}=\frac{leg}{part}[/tex]

where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.

Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.

Let's plug in these values:

[tex]\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}[/tex]

117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.

[tex]z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}[/tex]

The "?" must be a 3.

The answer is [tex]\boxed {\frac{3b - 8}{4b}}[/tex].

The possible length of the unit in centimeters given a perimeter of 29 meters is 725 centimeters

convert to centimeters

Perimeter of a square = 4a

where,

Perimeter of a square = 4a

2900 = 4a

divide both sides by 4

a = 2900/4

a = 725 centimeters

Therefore, the possible length of the unit in centimeters given a perimeter of 29 meters is 725 centimeters

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The building is 151 meters tall

From the question, we have the following parameters about the building and the man

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Based on the above parameters, we have the following equivalent ratio:

Ratio = Height : Shadow

So, we have:

Man's height : Man's shadow = Building's height : Building's shadow

Substitute the known values in the above equation

138 cm : 149 cm = Building's height : 163 m

Remove the units

138 : 149 = Building's height : 163

Express as fraction

138 /149 = Building's height/163

Multiply both sides by 163

Building's height = 163 * 138 /149

Evaluate the product

Building's height = 151 m

Hence, the building is 151 meters tall

So, the complete parameters are:

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Building's height = 151 m

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I believe that its easier to understand the multiplication of a radical than that of a polynomial.

In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:

= 3✓2 × 4✓2

= 12✓4

= 12 × 2

= 24

The multiplication of a radical is easier.

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Answer:

(a) 22cm^2

Step-by-step explanation:

(a) 6*3=18

2*2=4

4+18=22

Answer:

pi or 1 pi

Step-by-step explanation:

Area = 1/4 * pi * r^2 (because it is 1/4 of a full circle)

1/4 * pi * 2^2 (the radius is 2 because it is given in the picture)

1/4 * pi * 4 = 1 pi

area = pi

hope this helps! <3

Answer:

2 7/12

Step-by-step explanation:

Simple fraction problem

See below for the description of the figure

The equation is given as:

36 + 27 = 9 * (4 + 3)

Open the bracket

36 + 27 = 9 * 4 + 9 * 3

The above when represented on a figure is represented by the given figure.

From the figure, we have the following highlights:

This means that the figure has 7 columns and 9 rows where the partitions on the figure are the product of the rows and column in each partition

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Answer:

  (b)  f(x) = 12.5(1.6^x)

Step-by-step explanation:

An exponential model is generally of the form ...

  f(x) = a·b^x

where 'a' is the initial value (for x=0), and 'b' is the growth factor, the multiplier when x increases by 1.

The ratio of the f(x) values for x=0 and x=1 is 20/12 ≈ 1.67. A number close to this will be the growth factor in the exponential function. There is only one answer choice showing a growth factor near 1.6. (Eliminates choices A, C, D.)

An exponential regression model can be produced by many graphing calculators and spreadsheets. The attachment shows a model that has the values matching choice B.