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lesya [120]
3 years ago
14

Plot two points that are 777 units from Point \blueD{D}Dstart color #11accd, D, end color #11accd and also share the same xxx-co

ordinate as Point \blueD{D}Dstart color #11accd, D, end color #11accd.
Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Right format of question:

Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.

Answer:

D' = (-4,-6) and D' = (-4,8)

Step-by-step explanation:

Given

D(x,y) = (-4,1)

Required

Determine a point 7 points from D and in the same x coordinate

Represent this point with D'.

From the requirement of the question, D' has two possible values and these values are:

D' = D(x,y-7) ----> 7 units down and

D' = D(x,y+7) ----> 7 units up

Substitute values for x and y in D' = D(x,y-7) and D' = D(x,y+7)

So, we have:

D' = D(x,y-7)

D' = (-4,1 - 7)

D' = (-4,-6)

D' = D(x,y+7)

D' = (-4,1+7)

D' = (-4,8)

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Determine the axis of symmetry and the vertex of the given function. y = 2x2 − 12x + 21 Axis of symmetry:
grigory [225]

Answer:

Equation of the axis of symmetry is:   x = 3

Step-by-step explanation:

The equation

y=2x^2-12x+21

is the equation of a parabola, of the form

y=ax^2+bx+c    whose vertex is located at the x-coordinate:

x_{vertex}=\frac{-b}{2\,a}

Then, for our case the x position of the given parabola, is:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{12}{2\,(2)} \\x_{vertex}=3

Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:

x = 3

8 0
3 years ago
The sum of two odd consecutive numbers, the greater of which is equal to 2n+1.
Alborosie

Answer:

43 and 41

Step-by-step explanation:

2n-1+2n-3=84

4n-4=84

4n=88

n=22

2(22)-1 and 2(22)-3

44-1 and 44-3

43 and 41

write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.

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Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.

5 0
4 years ago
Are these correct lol?
Vitek1552 [10]

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

3 0
3 years ago
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ololo11 [35]

Answer:

Step-by-step explanation:

cross multiply to get 300=4n then divide by 4 to get 75

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3 years ago
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution
lora16 [44]
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3 years ago
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