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3 years ago

Graph the lines in standard form 2x+y=9

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

A graphing calculator produces a graph very nicely.

Setting x=0, you have the equation y=9, so you know the y-intercept.

Setting y=0, you have the equation 2x=9, so you know the x-intercept is 9/2 = 4.5. It can be easier to set y=1 to find the corresponding point x=(9-1)/2 = 4.

Through the points (0, 9) and (4, 1), you can draw the line representing the relation.

julsineya [31]3 years ago

5 0

Answer:

to graph this all you need to do is plot the y-intercerpt which is 9 in this case. then use the slop (-2) which means go two down from the y intercept and one to the right. all you need to do then is connect the points with a line.

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Describe the geometrical transformation and write the approximate value with working

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Answer:

$\boxed{\text{a) Translation 5 units up; b)}\approx 110}\\$

Step-by-step explanation:

a) Mapping the graphs

Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.

In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.

Each vertical line through ƒ(x) intersects g(x) in only one point.

For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)

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b) Integration

$\int_{2}^{11}{(\sqrt{x^{2}+9}})dx\approx 65\\$

$\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\$

$\approx (55 - 10) + 65 \approx 45 + 65\\$

$\boxed{\approx 110}\\$

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