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2 years ago

Find the slope from the given table: х Y -3. 8 0. 7 3. 6

Mathematics

2 answers:

Gelneren [198K]2 years ago

6 0

The answer is plus +3 for slope

fenix001 [56]2 years ago

4 0

Well, if we were to calculate slope from a graph, then we would look at the rise/Run but since we have to calculate it from a table of values, we will look at the first differences. In rise/Run, the rise is the Y while the X is the run so, on that basis, we can calculate the slope it rate of change from this table of values.
1. Rise = Y
We can see that each time that we are going to the next term, we are subtracting by and going down by 1 so, our rise is -1 while when we look at our run, each time, we are adding 3 units to get to the next term, so our Rise/Run would by -1/3.

So, in conclusion, the slope from the given table is: -1/3.

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Step-by-step explanation:

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3 years ago

In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half

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3 years ago

Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).

fomenos

Answer:

204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

cos(A) = √(1 -sin²(A)) = 24/25

sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

= (24·5 +7·12)/325

cos(A -B) = 204/325

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

325·cos(A-B) = 204

so, the exact value is ...

cos(A -B) = 204/325

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3 years ago

7. Find the cube root of 8\125

VikaD [51]

Answer:2/5

Step-by-step explanation:

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3 years ago

The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airp

Lana71 [14]

$\bf \cfrac{\stackrel{model}{length}}{\stackrel{actual}{length}}\qquad 1:83\qquad \cfrac{1}{83}\implies \cfrac{1}{83}=\cfrac{10.5}{x}\implies x=\cfrac{83\cdot 10.5}{1}
\\\\\\
x=871.5~inches
\\\\\\
\textit{there are 12 inches in 1 foot, thus }
\\\\\\
871.5~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies 72.625~ft 
\qquad \approx 73~ft$

6 0

3 years ago