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3 years ago

Will the graph of the line represented by the table x-1,0,1,2 y-1,3,7,11 intersect the graph of y=4x+5 explain

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

7 0

Is there an image that can help us please share

Serhud [2]3 years ago

6 0

Answer:

The graph of the line represented by the table will not intersect the graph y= 4x + 5.

Step-by-step explanation:

y = 4x + 5

Let's take the first point of the graph x = -1, y = -1

If the point (-1, -1) passes through y = 4x + 5 then they intercept at that point

y = -1 x = -1 then -1 = 4(-1) + 5

-1 = -4 + 5

-1 = 1 does not satisfy the equation that means the two lines do not intercept at (-1,-1)

Let's take the second point of the graph x = 0, y = 3

If the point (0, 3) passes through y = 4x + 5 then they intercept at that point

y = 3 x = 0 then 3 = 4(0) + 5

3 = 5 does not satisfy the equation that means the two lines do not intercept at (0,3).

Let's take the Third point of the graph x = 1, y = 7

If the point (1,7) passes through y = 4x + 5 then they intercept at that point

y = 7 x = 1 then 7 = 4(1) + 5

7 = 4 + 5

7 = 9 does not satisfy the equation that means the two lines do not intercept at (1,7)

Let's take the last point of the graph x = 2, y = 11

If the point (2,11) passes through y = 4x + 5 then they intercept at that point

y = 11 x = 2 then 11 = 4(2) + 5

11 = 8 + 5

11 = 13 does not satisfy the equation that means the two lines do not intercept at (2,11).

So the graph of the line represented by the table will not intersect the graph y= 4x + 5.

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3 years ago

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fgiga [73]

Answer:

Step-by-step explanation:

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3 years ago

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Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

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Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

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Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

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Hence , this is the required solution .

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