Contains (5,8) and is parallel to the graph of 2x + 3y = 9.

Contains (5,8) And Is Parallel To The Graph Of 2x + 3y = 9.

Answers

Answer 1
2x+3y=9
3y=9-2x
y=-2/3x+3

Slope is -2/3

8=-2/3(5)+m
Answer: y=-2/3x+34/3

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Answer 2

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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7.
Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = –2

A. y – 10 = –2(x + 9)

B. y – 9 = –2(x – 10)

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Answers

Answer:

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Step-by-step explanation:

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The points represented by the table like on a line. Find the slope of the line.
х
2
2
2
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y
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Answers

Answer:

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A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).

Answers

Answer:

The answer for this question is B and C

The answer is B and C

The equation above is in point slope form

y-y1=m(x-x1)

Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)

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brianlist me?

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Step-by-step explanation:

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Step-by-step explanation:

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code for the below question


We have to calculate the area of a rectangle, a square and a circle. Create an
interface 'Shape' with three methods declarations namely 'RectangleArea' taking two
parameters, 'SquareArea' and 'CircleArea' taking one parameter each. The parameters
of 'RectangleArea' are its length and breadth, that of 'SquareArea' is its side and that of
'CircleArea' is its radius. Now create another class 'Area' containing all the three
methods 'RectangleArea', 'SquareArea' and 'CircleArea' for printing the area of
rectangle, square and circle respectively. Create an object of class 'Area' and call all the
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Step-by-step explanation:

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steps below

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5-1)  Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)

5-2) scale factor = A'B' / AB = 6/4 = 1.5

5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.

Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.

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Step-by-step explanation:

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Step-by-step explanation:

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Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.

Answers

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

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For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss​

Answers

Answer: 52,5%

Step-by-step explanation:

For 6 cases of soda, he had to make a profit in the amount of:

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And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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I will give you BRAINLYEST if you answer this. (I did not get an answer the first time that I asked this)
What is the sign of the product (3) × (−25) × (7) × (−24)?

Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive
Positive, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is positive
Negative, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is negative
Negative, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is negative

Answers

Answer:

Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive

Step-by-step explanation:

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12. Determine the slope of the line having the equation 2x + y = 12
a. 2
b. -2
c. ½
d. -½​

Answers

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

Answer:

b. -2

Step-by-step explanation:

2x+y=12

add -2x to both sides

y = -2x + 12

this is in slope intercept form y = mx + b

m meaning the slope

in this case the slope is -2

the answer will be b. -2

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