a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a?

Answer:

The coordinates of the fourth vertex are (8,5)

Step-by-step explanation:

We need to take note that a rectangle is a shape that has 4 sides, with two of them of equal length.

It will also help if we can visualize the points on the graph.

We are given the location of three of the four vertices. These are (6,3), (6,5) ,and (8,3). Let the 4th Vertice be (x,y)

The length of the triangle can be obtained by subtracting the y-coordinates of the vertices.

(6,3) - (6,5)

This will be +3 and +5

5-3 =2

Therefore, the length of the triangle is 2 units on the left side.

Recall that the length of the left side has to be equal to the length of the right side.

Therefore

y-3 =2

y = 5

We will repeat the same process to get the x-coordinate from the breadth

Breadth = 8-6 =2

x-6 =2

x=8

Hence the x = 8

Therefore, the coordinates of the fourth vertex are (8,5)

Given:

The figure.

To find:

The value of a.

Solution:

We know that, in a right angled triangle

[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]

Multiply both sides by a.

[tex]\tan (38^\circ)\times a=6[/tex]

Divide both sides by [tex]\tan (38^\circ)[/tex]

[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]

The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].

Therefore, the correct option is b.

After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.

Given the equation is  f(x) =x³₋(k₊3) x²₊3x

also we know that the f(x) is an odd function, then by definition we write

f(₋x) = ₋f(x)

f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)

= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x

₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x

₋kx² ₋ 3x² = kx² ₊ 3x²

2kx² ₊ 6x² = 0

2k + 6 = 0

k = -3

Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that

(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]

Hence the value of k is ₋3 and the function is an odd function.

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Your Question is incomplete. Please find the missing content here.

If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?

Answer:

19.72

Step-by-step explanation:

because it just is i just did the quiz and it was right hope it helps

\

Answer:

4

Step-by-step explanation:

add 12 to -8

4

Answer: Where you are 8 meters below sea level and you have to rise 12 meters from 8 meters below sea level. Hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5/1 *2/5 =10/5=2

Answer:

The correct answer is 2.

Step-by-step explanation:

To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.

5/1 x 2/5 =

10/5 =

2

Therefore, the correct answer is 2.

Hope this helps! :D

Answer:

The graph should have a  y intercept of 2, shaded to the upper left, and the lines are dotted.

Step-by-step explanation:

similar to this

Answer:

and conifer trees for any number (n) of rows of apple trees: X X X ... n Number of apple trees Number of conifer trees. 1. 1. 8. 2. 4. 16. 3. 9. 24. 4. 16. 32. 5. 25. 40 ... A 6 mg. B 12 mg. C 26 mg. D 32 mg. DRUG CONCENTRATIONS SCORING 2 ... Code 1: 65 zeds on a deck, 14 on wheels, 16 on trucks and 20 on hardware.

Step-by-step explanation:

Answer:

b. 78.1

Step-by-step explanation:

If we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.

Therefore, if we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.

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Answer:

C. C and E has no solution

Step-by-step explanation:

C) Let's solve your equation step-by-step.

3x+2(x−1)=5x+4

Step 1: Simplify both sides of the equation.

3x+2(x−1)=5x+4

3x+(2)(x)+(2)(−1)=5x+4(Distribute)

3x+2x+−2=5x+4

(3x+2x)+(−2)=5x+4(Combine Like Terms)

5x+−2=5x+4

5x−2=5x+4

Step 2: Subtract 5x from both sides.

5x−2−5x=5x+4−5x

−2=4

Step 3: Add 2 to both sides.

−2+2=4+2

0=6

Answer:

There are no solutions

E) Let's solve your equation step-by-step.

9x+5+x=10x−6+1

Step 1: Simplify both sides of the equation.

9x+5+x=10x−6+1

9x+5+x=10x+−6+1

(9x+x)+(5)=(10x)+(−6+1)(Combine Like Terms)

10x+5=10x+−5

10x+5=10x−5

Step 2: Subtract 10x from both sides.

10x+5−10x=10x−5−10x

5=−5

Step 3: Subtract 5 from both sides.

5−5=−5−5

0=−10

Answer:

There are no solutions.

Answer:

The first one is 6√10

The second one is −48√3

The last one is 28√2

Step-by-step explanation:

Answer:

HG

Step-by-step explanation:

Where they meet another line at a 90 degree angle.

The segment that is perpendicular to segment AH in the given cube is: HG.

When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.

In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.

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The value of x is 5.

Given that, m∠VUT = 175° , m∠VUJ = 17x-3 and m∠JUT = 17x+8.

The angle where two rays meet is represented as vertex.

Each and every vertex , where two rays meet have some angle between them.

The symbol that represents angle is, “∠”.

Here, you can deal with the angle and find the value of x by just equating the given equations upon the given angle m∠VUT = 175° .

we get,

m∠VUT = m∠VUJ + m∠JUT

175       = 17x-3  +  17x+8

 175      = 34x + 5

175-5     = 34x

 170      = 34x

 170/34 = x

      x = 5.

Therefore, the  value of x is 5.

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Answer:

$29,700 and $79,200

Step-by-step explanation:

Step one:

given

The selling price of the house is  ​$396,000

The commission rate is ​7.5% for the real estate agency

The commission rate for the agent is ​20%

Step two:

1. How much did the agency make on the​ house?

This amount is 7.5% of $396,000

= 7.5/100*396,000

= 0.075*396,000

=$29,700

2. How much did the agent earn in​ commission?

This amount is 20% of $396,000

= 20/100*396,000

= 0.2*396,000

=$79,200

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

[tex] = > x + 2 = 2x - 6[/tex]

[tex] = > 2x - x = 6 + 2[/tex]

[tex] = > x = 8[/tex]

FG = 2×8 - 6 = 10

Answer: $96.75

Step-by-step explanation:

Regular price is $36 and the third shirt will come at a 50% discount.

Total price for the 3 shirts is;

= 36 + 36 + (36 * 50%)

= $90

The total after-tax is;

= 90 * ( 1 + tax rate)

= 90 * ( 1 + 7.50%)

= $96.75

I am unsure what the question is but the total amount that Jeremy should pay is $96.75.

The Z value(atomic number) of the given atom is 8

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Answer:

the answer is the first one. angle N congruent to angle Z. it's the angle that's between the two given sides

Step-by-step explanation:

Answer:

2 Height ft and 6.75 length ft

Step-by-step explanation:

You just decrease it to 1:16

so, 34:108 is 2:6.75 to be about the same size as 1:16

Answe and Step-by-step explanation:

Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:

Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.

Let's assume he saw a red,

We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.

If we assume what was picked from the wrongly labelled RB is black.

We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.

Answer:

17 refills

Step-by-step explanation:

1.6x + 7.95= 35.15

1.6x = 27.2

x=27.2/1.6

x= 17

Answer:

y=4x+3

Step-by-step explanation:

The given equation y=-x-2 is the equation of the line passing through the points (-1,-1) and (-2,0) in the given graph.

From the graph, the other line is passing through the points (0,3) and (-1,-1).

So, the equation of the line passing through the two points is

[tex]y-3=(x-0)\times \frac{-1-3}{-1-0} \\\\y-3=x \times \frac{-4}{-1} \\\\y-3= x \times4 \\\\y=4x+3[/tex]

Hence, the equation of the other line is y=4x+3.

The polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.

Polynomials are algebraic expressions that consist of variables and coefficients where arithmetic operations can be performed.

A polynomial is expanded if no variable appears within parentheses and all like terms have been combined.

To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations.  Then combine all like terms.

Expanding each of the options provided using FOIL method:

a) (3x+2i)(3x-2i)

= 9x^2 - 2ix + 2ix - 4i^2

= 9x^2 - 4i^2            *(i^2 = -1) note that i is an imaginary number and i squared is equal to -1

= 9x^2 - 4(-1)

= 9x^2 + 4

b) (3x+2)(3x-2)

= 9x^2 + 6x - 6x - 4

= 9x^2 - 4

c) (3x + 2i)^2

= 9x^2 + 6ix + 6ix + 4i^2          *(i^2 = -1)

= 9x^2 + 12ix - 4

d) (3x + 2)^2

= 9x^2 + 6x + 6x + 4

= 9x^2 + 12x + 4

Hence, the polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.

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Answer:

reason 2

Step-by-step explanation:

Answer:

D. 5cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the variables x and y vary inversely, this is expressed as;

x ∝ 1/y

x = k/y

k is the constant of proportionality

Given;

x = 7/2 and y = 3/5

Substitute;

7/2 =k/(3/5)

Cross multiply

k = 7/2 * 3/5

k = 21/10

Substitute the value of k into the formula;

x = k/y

x = (21/10)/y

x = 21/10 * 1/y

x = 21/10y

Hence the equation relating x and y is x = 21/10y

Answer:

bruh. this wat im working on too and need help also

Answer:

x = 3.6, the measure of the largest angle is 86.4

Step-by-step explanation:

15x + 24x + 21x = 180

50x = 180

180/50 = 3.6

x = 3.6

-------------------------

24x = 24(3.6)

24 * 3.6

86.4

Answer:

$4,594.76

Have a nice day :)

Also I am not sure it is correct

Answer:

12

Step-by-step explanation:

When the numerators are the same, the denominator that is bigger has a lesser value. In this case, the inequality > shows that [tex]\frac{1}{10}[/tex] is bigger than the fraction next to it so in order to find a fraction that is lesser in value than  [tex]\frac{1}{10}[/tex], we need to find a denominator that is more than 10, since 10 is the denominator of the first fraction. The only number more than 10 in the options is 12, so 12 is the answer.