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KATRIN_1 [288]
3 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]3 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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tatyana61 [14]
Cant read your writing-
7 0
2 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
Which point lies on both y = 5x – 3 and y=-4x+6?
dmitriy555 [2]
Its A (1,2) yo you should look for a graphing calculator it helps alot all you need is to put that exact equation in and it graphs for you
8 0
3 years ago
In which direction does the right side of this graph point? F(x)= -x^4-x^3+4x-2
suter [353]

Answer: Down

Step-by-step explanation:

We know that the graph of  y = x 4  has both arms pointing up.

Now, since the leading coefficient of  f ( x )  is negative, both arms are pointing down. Thus the right side is pointing down.

4 0
2 years ago
What is 1/6 divided by 1/2
Blababa [14]

Answer:

The answer is 3

Step-by-step explanation:

I put the answer simplified if needed.

8 0
2 years ago
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