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KATRIN_1 [288]
2 years ago
14

Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Answer:

They have the same slope

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.

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How do I do this please help me I will give you thank even tho it’s not important Ahahah please help me
xxTIMURxx [149]

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

4 0
3 years ago
45 of the 80 children in the club or girls what was the ratio of boys to girls in the club?
Oxana [17]

There are 80 children. 45 of them are girls. The amount of boys is equal to:

80-45 = 35

That means there are 45 girls and 35 boys.

The ratio of boys to girls is: 35:45

Simplify:

35 \div 5 = 7 \\ 45 \div 5 = 9 \\ \\35:45 \rightarrow 7:9

Your answer is 7:9

5 0
3 years ago
In a survey of 3400 people asked about their ice cream preference, 1600 enjoyed chocolate, 1250 enjoyedvanilla, 1700 enjoyed min
velikii [3]

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

undefined

b) For people who did not enjoy chocolate, vanilla or mint:

undefined

4 0
1 year ago
What does the graph tell you about the value of a in this function f(x)=a(x+k)^1/n+c
Olenka [21]
A. a is greater than zero
7 0
3 years ago
Read 2 more answers
Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Daniel and his
My name is Ann [436]
Hzzbzhs svhs shaves s has svs svs bs s svs s s s
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3 years ago
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