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IrinaVladis [17]
3 years ago
9

What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

Slope is undefined

Step-by-step explanation:

Slope is calculated by \frac{y1-y2}{x1-x2} so now you put the points (-10,4) and (-10,8) into that.

Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.

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Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.
dexar [7]
Hello,

What do you want?

a(2)=4*a(1)==>a(1)=12/4=3
a(0)=3/4

a(n)=3/4 * 4^n (genearl term)


3 0
3 years ago
Read 2 more answers
6. The sequence is recursive. Find the value of the next term in the sequence.
Alisiya [41]

Answer: the value is 30

Step-by-step explanation:

you are going up by 5 so 25+5 IS 30

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8 0
2 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before a
agasfer [191]

Answer:

Quinn can expect to pick blue 40 times

Step-by-step explanation:

the probability of picking blue is stated as 2/10 which can be reduced to 1/5

multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)

200 x 1/5 = 200 / 5 = 40

Quinn can expect to pick blue 40 times

6 0
3 years ago
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A test grade was 92%. 60 items were correct. How many test times were there? (SHOW WORK)
Bingel [31]
65 total test items were on the test.

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3 years ago
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