the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5​

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125

Answer:

Step-by-step explanation:

rotate it in a full circle

Answer:

1

Step-by-step explanation:

Let,

x1 = - 2

y1 = 5

x2 = 2

y2 = 9

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 9 - 5 ) ) / ( 2 - ( - 2 )

= 4 / 4

= 1

Answer:

slope is 1

Step-by-step explanation:

from (-2, 5) to (2,9)

slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1

*

you can think of how do you get from one point to the other

first point  (-2, 5) go to second point  (2,9)

-first on the  y-axis (vertical) you start at 5 and go four up to get to 9  

-second on the x-axis (horizontal) you start at -2 and go four right to get to 2

slope = change in y / change in x = four up /four right = 4/4 = 1

-moving down or to the left will make the numbers negative

Answer:

Step-by-step explanation:

Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.

The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures

10√3 -10 which is 7.32

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate

Evaluate the expression:

Calculate the power:

Calculate the first two terms:

Answer:

Answer:

a = 17

b = 17

Answered by GAUTHMATH

Answer:

A

Step-by-step explanation:

The function is increasing in the interval in A because as the x-values increase so do the y-values on the graph, which can be shown by the graph sloping upwards at that specific section.

The graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given a graph of a trigonometric function,

As we know, the trigonometric function is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

From the graph, the function is increasing from 3π/2 to 2π

The graph slopes upward at that particular segment, indicating that the function is increasing in the interval in A as the x-values increase and the y-values on the graph follow suit.

Thus, the graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.

Learn more about trigonometry here:

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2(x + 3) = 2x + 6

1. Correct - 2 * (x + 3) = 2x + 6

2. Correct - (x + 3)2 = 2x + 6

3. Correct - 2x + 6

4. Incorrect - 2x + 3

5. Incorrect - 2x + 3

6. Incorrect - 3x + 6

Hope this helps!

Answer:

This question seems to be asking for the work, so I put it below.

Anyhow, Marla had 3.5 candies, and Ron had 10.5.

Step-by-step explanation:

x = 3x - 7  (lets set this as "a")   { a = 3x - 7}

x + 7 = 3x -7 + 7

x + 7 = 3x

( x + 7 ) / 3 = 3/3x

( x + 7 ) / 3 = x     =    *(same as "a") {a}

( x + 7 ) / 3 = 3x - 7

( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3

x + 7 = 9x - 21

x - x + 7 = 9x - x - 21

7 = 8x - 21

7 + 21 = 8x - 21 + 21

28 = 8x

28 / 8 = 8/8x

3.5 = x

We can plug this back into the original equation and find that it is correct because:

x = 3x - 7

x = 3.5  =====

3.5 = 3( 3.5 ) - 7

3.5 = 10.5 - 7

3.5 = 3.5

Answer:

Marla has 7 and Ron has 21

Step-by-step explanation:

lets take

no. of candies Marla has as "x"

and no. of  candies Ron has will be "3x"

Marla says if Ron gives her seven candies, they will have the same no. of candies

so your equation will be -

x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)

3x - x = 7 + 7

2x = 14

∴x = 7

and 3x = 3 x 7 = 21

YOUR WELCOME

Answer:

The angle θ = 312°.

Step-by-step explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°

Answer:

A. (Orthocenter) → Altitude

B. (Incenter) → Angle bisector

C. (Centroid) → Median

D. (Circumcenter) → Perpendicular bisector

Step-by-step explanation:

A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude

B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector

C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median

D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.

Answer:

m is √2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

Answer:x²-3 x+4/ 2x-3 units

Step-by-step explanation:

Area = Length * Width sq. units

x^2 - 3x + 4 = Length * 2x - 3

=>Length = x^2- 3 x + 4/ 2 x − 3 units

Answer:

x ≈ 94.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan58° = [tex]\frac{LM}{KL}[/tex] = [tex]\frac{x}{59}[/tex] ( multiply both sides by 59 )

59 × tan58° = x , then

x ≈ 94.4 ( to the nearest tenth )

Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.

The correct option is B:

g(x) can be graphed by translating the basic rational function ƒ(x)=  1∕x left by 3 units and downward by 5 units.

Let's describe the transformations:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards.

If N is negative, the shift is downwards.

Now that we know this, let's see the problem.

We have:

[tex]g(x) = \frac{1}{x + 3} - 5[/tex]

So, the original function is:

[tex]f(x) = \frac{1}{x}[/tex]

Now from f(x) we can apply translations to create g(x).

If first, we apply a translation of 3 units to the left, we get:

[tex]g(x) = f(x + 3) = \frac{1}{x + 3}[/tex]

If now we apply a translation of 5 units downwards, we get:

[tex]g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5[/tex]

So we can conclude that the correct option is B:

g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.

If you want to learn more about translations, you can read:

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Answer:

15 feets 2 inches

Step-by-step explanation:

Given the widths :

1st dresser = 5 feets 5 inches

2nd dresser = 5 feets 10 inches

3rd dresser = 3 feets 11 inches

Their combined width is :

5ft + 5ft + 3 ft + 5in + 10in + 11in

13 feets 26 inches

Recall :

1 foot = 12 inches

26 inches = 26/12 feets = 2 feets 2 inches

Hence,

13 feets + 2feets 2 inches

Combined width = 15 feets 2 inches

Answer:

parallel segments in order: CB, CA, CO, AN, BA, NO

Answer:

113.75$

Step-by-step explanation:

I. When a square yard = 9.10

   so 1 * 9.1 = 9.1

   if 12.5 square yard

   then 12.5 * 9.1 = 113.75$

Answer:

V = 56.5 mi^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 3)^2 (2)

V = 18 pi

Letting p = 3.14

V = 56.52 mi^3

Rounding to the nearest tenth

V = 56.5 mi^3

Answer:

k=3/2 or 1 1/2

Step-by-step explanation:

Answer  3/2

Step-by-step explanation:

area of circle= 22/7×6×6

= 22/7×36

= 3.1×36

= 113.14

Answer:

[tex]36\pi[/tex]

Step-by-step explanation:

[tex]a = {6}^{2} \times \pi = 36\pi[/tex]

Answer:

D

Step-by-step explanation:

Took the test

Brainliest pls

Answer:

D

Step-by-step explanation:

E 2020

Answer:

2√3

Step-by-step explanation:

 √27 =  √9 *  √3 = 3 *  √3 = 3√3

3√3 -  √3 = 2√3

Answer:

Slower trains: 123 km/h

Faster train: 134 km/h

Step-by-step explanation:

In order to solve this problem, one must know the following formula:

[tex]speed*time=distance[/tex]

The problem gives one the following information:

Let ([tex]speed_1[/tex]) represent the speed of the slower train and ([tex]speed_2[/tex]) represent the speed of the faster train.

One can form an equation, let (x) represent the speed of the slower train. Using the distance equation, one can state that the speed of each train times the travel time equals the distance. Since the trains met each other in (6) hours, and the combined distance traveled between the two trains is (1542 km); one can use this information to form an equation.

[tex](travel\ time)(speed_1)+(travel\ time)(speed_2)=distance[/tex]

Substitute,

[tex]6(x)+6(x+11)=1542[/tex]

Simplify, distribute, multiply every term inside of the parenthesis by the term outside of it. Then combine like terms,

[tex]6x+6x+66=1542[/tex]

[tex]12x+66=1542[/tex]

Inverse operations,

[tex]12x+66=1542[/tex]

[tex]12x=1476[/tex]

[tex]x=123[/tex]

Solve for the speed of the faster train. It is given that it is (11 km/h) faster than the slower train.

[tex]speed_1+11=speed_2\\123+11=speed_2\\134=speed_2[/tex]

Answer:

1. Given

2. Vertical angle theorem

3. AB≅DB, EB≅CB, m<ABC≅m<DBE

4. △ABC ≅ △DBE

Hope this helps :D

Answer:

1,200,000

Step-by-step explanation:

hope i helped

Answer:

1.200.000

Step-by-step explanation:

[tex]thankyou[/tex]

Answer:

pnj hnu n

126

11

yes ......

....

.

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x u g

Answer:

Step-by-step explanation:

The current price of the mask is $1 per mask and there is expected demand of 6000 masks per week.

If the company plans to increase the price the demand for the masks will decrease.

Revenue  = 6000 * x

Total revenue will be  $6,000 if the price of mask is $1. If price of mask increase by 10% then quantity will be declined to 5850 masks [6000 - 150].

New price = $ 1 * 110% = $1.10

Revenue = 5850 masks * $ 1.10 = $6,435.

Then correct answer is Revenue will increase if price of mask is increased.

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