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DedPeter [7]
3 years ago
8

What is the relationship between the graphs of y = 2x and y = 2-x?

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

The relationship between the graphs is the intersection point at (0.667,1.333)

Step-by-step explanation:

we have

y=2x ----> equation A

The slope of the line A is equal to m=2

The line passes through the origin

y=2-x ----> equation B

The slope of the line B is m=-1

The x-intercept is the point (2,0)

The y-intercept is the point (0,2)

Line A and Line B are not parallel (the slopes are not equal)

Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)

so

The relationship between Line A and Line B is the intersection point both graphs

using a graphing tool

The intersection point is (0.667,1.333)

see the attached figure

The intersection point is a common point , therefore belongs to both lines

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In remodeling a house an architect finds that by adding the same amount to each dimension of a 15ft by 19ft rectangular room, th
earnstyle [38]

Answer:

Step-by-step explanation:

new length=15+x

width=19+x

then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²

original area=15×19=285 ft²

then 285+98=x²+34x+285

or

x²+34x-98=0

x²+34x+17²=98+17²

(x+17)²=98+289=387

x+17=√387=3√43

x=3√43-17 ft

8 0
3 years ago
(Grade6math) Can somebody plz help answer all of these in simplify form (if u know how to) thanks so much :)
Gemiola [76]
1.= 1
2.= -15
3.= -18
4.= -1
5. = -11
6. = 22
4 0
2 years ago
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
Determine if -10,-12,or -16is the solution of 2t-2=26
Dafna11 [192]
2t-2=26
first you would add 2 to both sides
that equals 2t=28
then you would divide both sides by two
that would give you
t= 14
3 0
3 years ago
A smaller square park has an area of 3600 square meter. what is the length of one side of the park
Julli [10]
Divide the area by 4 because a square is 4 sides. Once divided take your answer and multiply by 4 if it's the same as the area that's your answer.
7 0
3 years ago
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