Which of the following represents an equation for the line that is parallel to y=3/2x-7 and qhich passes through the point (6,8)? 1) y-8=-2/3(x+6) 3)y+8=3/2(x-6)
2)y-8=3/2(x+6) 4)y+8=-2/3(x-6)

Answers

Answer 1

Answer:

answer:

1)y-8=-2/3(x+6) 3)y+8=3/2(x-6)

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State a conclusion that seemsreasonable.

A teacher gave all her classes a true-false test on seven
consecutive Mondays. Today is Monday.

Conclusion:

Answers

The conclusion would be that there is a true or false test today.
This is because for the past 7 Mondays this is what she has done and due to this high number, there is a great probability there will be one this Monday as well.

Answer:

The conclusion that can be drawn is:

Today is a true-false test.

Step-by-step explanation:

The conclusion is made from the statements or premises. it is a probable result it could also be false.

We are given a statements or premises as:

A teacher gave all her classes a true-false test on seven consecutive Mondays.

Today is Monday.

Hence, the conclusion is:

Today is a true-false test.

( We assume that today is the one of the consecutive Monday on which test is to be held )

What scale factor was used when going from the grey triangle to the yellow triangle

Answers

Answer:

It was used $(1)/(3)$ as scale factor.

Step-by-step explanation:

The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.

Let's work with the below side.

The below side is extended from the point $(-2,4)$ to the point $(7,4)$

The length of this side is 9 units.

In the yellow triangle, we can see that the below side is extended from the point $(2,0)$ to the point $(5,0)$

The length of this side is 3 units.

Working with the lengths and the scale factor ⇒

$(9units).(ScaleFactor)=3units$

$ScaleFactor=(3units)/(9units)=(1)/(3)$

We find that the scale factor that was used when going from the grey triangle to the yellow triangle is $(1)/(3)$

Answer:

Scale factor of 1/3

Step-by-step explanation:

Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form.5/6 + 3/9

Answers

Answer:

1.16

Step-by-step explanation:

the answer is to simplify and then add

What is 2 5/8 x 2/3. with the work shown

Answers

https://photomath.net/s/P56lb

The link will show you how to solve the problem but if you still don't get it you download the app Photomath and it will give you more detailed steps.

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Answers

$y=(1)/(2)x \n2x+3y=28 \n \n\hbox{substitute } (1)/(2)x \hbox{ for y in the second equation:} \n2x+3 ((1)/(2)x)=28 \n2x+(3)/(2)x=28 \ \ \ \ \ |* 2 \n4x+3x=56 \n7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |/ 7 \nx=8 \n \ny=(1)/(2)x=(1)/(2) * 8=4 \n \n\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}$

Using the completing-the-square method, find the vertex of the function f(x) = –2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.. .

Answers

f ( x ) = - 2 x² + 12 x + 5 = - 2 ( x² - 6 x ) + 5 = - 2 ( x² - 6 x + 9 - 9 ) + 5 =
- 2 ( x² - 6 x + 9 ) + 18 + 5 = - 2 ( x - 3 )² + 23
f ( x ) = a ( x - k )² + h ( the vertex form ), k = 3, h = 23.
a = - 2 < 0, that means the vertex coordinates ( 3, 23 ) represents a maximum.

Answer:

3,23 maximum

Step-by-step explanation:

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