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2 years ago

Is the equation = 0.25 + 0.5(– 2) linear or nonlinear?

Mathematics

2 answers:

ZanzabumX [31]2 years ago

8 0

Answer:

It is linear.

Step-by-step explanation:

A linear equation is described as an equation of a straight line. When plugging the result of this equation (slope-intercept form) into a graph, it will give you a straight line meaning it is linear.

ollegr [7]2 years ago

7 0

Answer:

-0.75 linear

Step-by-step explanation:

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

$f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})$

we know that $cos^2A+sin^2A=1$ , so we have that

$f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)$

$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

8 0

2 years ago

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the

NeX [460]

The probability that the result that is gotten will be a multiple of 3 and 2 will be 2/15.

<h3>How to calculate the probability</h3>

From the information, the spinner has 15 equal areas, numbered 1 through 15.

The multiple of 3 and a multiple of 2 among the numbers will be 6 and 15. Therefore, the probability will be two out of fifteen. This will be 2/15.

Learn more about multiples on:

brainly.com/question/1067440

8 0

1 year ago

Tanya [424]

Answer:

<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>

Step-by-step explanation:

<u>Distance Between two Points in the Plane </u>

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:

$d=\sqrt{(9-9)^2+(94-(-2))^2}$

$d=\sqrt{0^2+96^2}$

$d=\sqrt{96^2}=96$

The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.

8 0

2 years ago

A shark is swimming 28 ft below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what

Orlov [11]

Answer:

81,3 ft to the nearest tenth.

Step-by-step explanation:

Tan 19 = 28 / h where h = the horizontal distance.

h = 28 / tan 19

h = 81.3 ft.

3 0

2 years ago

3. What is the molar mass of SO2?

Arada [10]

Answer: 64.066 g/mol

hope this helps :D

Step by Step: To find the molecular mass of SO2, you are going to want to search out the mass of SO2. The mass of sulfur is 32AMU, and also the mass of oxygen is 16AMU, then times two thanks to the subscript, so 32. Add those up, and 32+32=64AMU, which is your mass for the entire.

8 0

2 years ago

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