if a=x+y and b=x-y show that (a+b)=4x

Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

1. The height of the cone is, 22.18 mm.

2. The slant height is, 28.14 mm.

3. The ant crawl to get from the base of the cone to the top of the hill is, 28.14 mm.

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

The volume of cone V = (1/3)πr²h

Given that,

The volume  = 8792 mm³

1. by using the formula to solve for h,

we get h = (3V)/(πr²).

Plugging in the values given,

we have h = (3(8792 mm³))/(π(20 mm)²) ≈ 22.18 mm.

Therefore, the height of the cone is approximately 22.18 mm.

2. it is known that, from the Pythagoras theorem

s² = h² + r²,

where s is the slant height, h is the height, and r is the radius.

Plugging in the values we found in part 1,

we have s² = (22.18 mm)² + (20 mm)² ≈ 791.88 mm².

Taking the square root of both sides, we get s ≈ 28.14 mm.

Therefore, the slant height is approximately 28.14 mm.

3. To find the distance the ant crawls to get from the base of the cone to the top of the hill, we need to find the length of the slant height.

Using the value we found in part 2,

the length of the slant height is approximately 28.14 mm.

Therefore, that is the distance the ant would crawl to get from the base of the cone to the top of the hill.

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Answer:

i cant show my work im sorry i cant help

Step-by-step explanation:

1

Answer:

8

Step-by-step explanation:

If the two solids have the same height and same cross-sectional area at every level, this means that the radius of the oblique cylinder is the same as the radius of the right cylinder.

Since the radius of the right cylinder is 16/2=8, this means that the radius of the oblique cylinder must also be 8.

Algebraically, the area of the cross-section is given by:

\(A=\pi r^2\)

If the areas of them are the same:

\(A_{right}=A_{oblique}\)

Then:

\(\pi r_{right}^2=\pi r_{oblique}^2\\r_{right}=r_{oblique}\)

Answer:

\(=\left(-5,\:-\frac{5}{2}\right)\)

Step-by-step explanation:

\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)\)

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

l =8.8×106mm

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

To find the area of a shape, you must multiply the length by the width. Since we are not given the length, we have to divide 220 by 25 to get our answer of 8.8. to check your answer, multiply 8.8 by 25. If the answer is 220, you are correct.

Hope this helps

Mark brainliest plz

Random Reply:

Indeed, so they have.

Given:

The graph of a function \(y=h(x)\).

To find:

The interval where \(h(x)>0\).

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, \(h(x)>0\) for \(x<0\) and \(x>3.6\).

The function between x=0 and x=3.6 lies below the x-axis. So, \(h(x)<0\) for \(0<x<3.6\).

Now,

For \(-1<x<0\), the graph of h(x) is above the x-axis. So, \(h(x)>0\).

For \(0<x<1\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

For \(1<x<2\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

Only for the interval \(-1<x<0\), we get \(h(x)>0\).

Therefore, the correct option is A.

Answer:

590

Step-by-step explanation:

he makes 29.50 per lesson

if he does 4 lessons per day; he makes 29.50 x 4 = 118 every day

in 5 days he will make 118 x 5 = 590

=======================================================

Explanation:

Having the salary increase by 3% means we can use the multiplier 1.03

Think of it like 100% + 3% = 1 + 0.03 = 1.03

The new salary is 52,000*1.03 = 53,560 dollars

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

The slightly longer way to do this is to first figure out how much 3% of 52,000 is

3% of 52,000 = 0.03*52,000 = 1560

Ricardo earns $1560 more dollars on top of the salary of $52,000

So overall his new salary is $1,560 + $52,000 = $53,560

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

Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

5 / 12

Step-by-step explanation:

You must have common denominators in order to add or, in this case, subtract.

Answer:

\( \frac{15}{12} - \frac{5}{6} \)

Answer

The x value is the same between these two values, which gives an undefined slope, I think

Step-by-step explanation:

Answer:

Yes the answer is undefined

Step-by-step explanation:

Look it up

The name of shape A is right trapezoid

The congruent shapes are B and D

A right trapezoid is a trapezoid (a four-sided polygon with two parallel sides) in which one of the angles formed by the non-parallel sides is a right angle (90 degrees).

The parallel sides of a right trapezoid are called the bases of the trapezoid, and the other two sides are called the legs. The perpendicular distance between the bases of a right trapezoid is called the height of the trapezoid.

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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The estimated sample mean for profit as a percentage of assets is approximately 17.970, the estimated sample variance is approximately 24.437, and the estimated sample standard deviation is approximately 4.943.

To estimate the sample mean, sample variance, and sample standard deviation for profit as a percentage of assets based on the given information, we can calculate the respective measures using the midpoint of each interval and the number of companies in each interval.

First, let's calculate the midpoint for each interval:

Midpoint of 8.6-12.5:= 10.55

Midpoint of 12.6-16.5:  = 14.55

Midpoint of 16.6-20.5:  = 18.55

Midpoint of 20.6-24.5:  = 22.55

Midpoint of 24.6-28.5:  = 26.55

Next, let's calculate the estimated sample mean:

Sample Mean = (Midpoint1 * Frequency1 + Midpoint2 * Frequency2 + Midpoint3 * Frequency3 + Midpoint4 * Frequency4 + Midpoint5 * Frequency5) / (Total Frequency)

Sample Mean = (10.55 * 13 + 14.55 * 18 + 18.55 * 7 + 22.55 * 5 + 26.55 * 7) / 50

Sample Mean ≈ 17.970

To estimate the sample variance, we'll use the formula:

where X is the midpoint, X is the sample mean, and n is the total frequency.

Using this formula, we can calculate the estimated sample variance:

\(\frac{ [(13 * (10.55 - 17.970)^2 + 18 * (14.55 - 17.970)^2 + 7 * (18.55 - 17.970)^2 + 5 * (22.55 - 17.970)^2 + 7 * (26.55 - 17.970)^2)}{ (50 - 1)}\)

Sample Variance ≈ 24.437

Finally, we can estimate the sample standard deviation by taking the square root of the sample variance:

Sample Standard Deviation = √Sample Variance

Sample Standard Deviation ≈ √24.437 ≈ 4.943

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Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

All the arcs are derived as given below.

5)

∡LO = 180°

so

∡KL = ∡ON = 180-90-67

∡KL = ∡ON = 23°
∡OM = 90 + 23 = 113°
∡ NL = 67 + 90 = 157°


7)

Where

(9x + 23) + 31 = 180
9x + 54 = 180
9x = 180-54

9x = 126
x = 126/9
x = 14

9.

(21x-9) = 90+27
21x - 9 = 117
21x = 117 + 9
x = 126/21
x = 6

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1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

y=-4x+5...

Step-by-step explanation:

y=-4x+5...

Answer:

The answer is 8.9

Step-by-step explanation:

Answer:

one solution = 3

Step-by-step explanation:

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

5x+17=4(3x−1)

Step 1: Simplify both sides of the equation.

5x+17=4(3x−1)

5x+17=(4)(3x)+(4)(−1)(Distribute)

5x+17=12x+−4

5x+17=12x−4

Step 2: Subtract 12x from both sides.

5x+17−12x=12x−4−12x

−7x+17=−4

Step 3: Subtract 17 from both sides.

−7x+17−17=−4−17

−7x=−21

Step 4: Divide both sides by -7

-7x/-7 = -21/-7 = 3

Answer:

The answer to part (a) is 9 minutes. The answer to part (b) is that Derek reads faster than Sarah.

Step-by-step explanation:

a. To solve this problem, we can use the formula:

time = distance / rate

where "distance" is the number of words in the article and "rate" is the reading speed in words per minute. We want to find the time it takes Derek to read the article, so we can plug in the given values:

time = 225 / 25

time = 9

Therefore, it would take Derek 9 minutes to read the 225 word article if he reads constantly until he is finished.

b. To determine who reads faster, we can compare the reading rates of Derek and Sarah. Derek's reading rate is 25 words per minute, and Sarah's reading rate is:

225 words / 10 minutes = 22.5 words per minute

Since Derek's reading rate is higher than Sarah's reading rate, we can conclude that Derek reads faster than Sarah.

How I got the question:

Here are the steps I took to answer the question:

a. To solve for how long it would take Derek to read a 225 word article:

Step 1: Identify the given information

Derek's reading rate is 25 words per minute

The article has 225 words

Step 2: Identify the formula to use

We can use the formula: time = distance / rate, where "distance" is the number of words in the article and "rate" is the reading speed in words per minute.

Step 3: Plug in the values and solve

distance = 225 words

rate = 25 words per minute

time = distance / rate = 225 / 25 = 9 minutes

Therefore, it would take Derek 9 minutes to read the 225 word article if he reads constantly until he is finished.

b. To compare Derek's and Sarah's reading rates and determine who reads faster:

Step 1: Identify the given information

Derek's reading rate is 25 words per minute and it takes him 9 minutes to read the article.

Sarah took 10 minutes to read the same 225 word article.

Step 2: Calculate Sarah's reading rate

Sarah's reading rate = distance / time = 225 words / 10 minutes = 22.5 words per minute

Step 3: Compare the reading rates of Derek and Sarah

Derek's reading rate is 25 words per minute and Sarah's reading rate is 22.5 words per minute.

Step 4: Interpret the answer

Since Derek's reading rate is higher than Sarah's reading rate, we can conclude that Derek reads faster than Sarah.

I hope this helps you understand how to approach these types of problems! If it didn't help you, I'm sorry. If you need more help (or have questions) feel free to ask me! :]

Answer:

37/12

Step-by-step explanation:

We can either convert them both to improper fraction or do that at the end:

First convert:

4/3 + 7/4 = ?

Using LCM (Least Common Multiple) we multiply them each to get:

16/12 + 21/12 = 37/12

Convert after:

We know 1 + 1 = 2, so we can just leave that out for now.

1/3 + 3/4 = ?

Multiply to get LCM as the denominator:

4/12 + 9/12 = 13/12

This gives us 2 + 13/12.

2 + 13/12 = 3 1/12

3 = 36/12

37/12

Therefore we now have 37/12 in improper fraction form, or 3 and 1/12 in mixed fraction form.