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Tpy6a [65]
3 years ago
5

Graph the line with slope -2 passing through the point (4, 1)

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

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storchak [24]
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7 0
3 years ago
Read 2 more answers
Plz prove this for me.....
s344n2d4d5 [400]

I've answered your other question as well.

Step-by-step explanation:

Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.

Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3

⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab

Substituting a=sin2(x) and b=cos2(x), we have:

sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)

Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:

sin6(x)+cos6(x)=1−3sin2(x)cos2(x)

From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)

Meaning the expression can be rewritten as:

sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)

3 0
3 years ago
Ethan burns 650 calories when he runs for 1 hour. Soppose he runs 5 hours in one week
alex41 [277]
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3 years ago
An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being
ladessa [460]

Using the probability concept, it is found that there is a \mathbf{\frac{1}{k}} probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • There is a total of k documents to be reviewed, hence T = k.
  • Of those documents, 1 is named “Relaxation Through Mathematics”, hence D = 1

The <em>probability </em>is:

p = \frac{D}{T} = \frac{1}{k}

A similar problem is given at brainly.com/question/24483829

8 0
3 years ago
Choose the correct simplification of the expression (-9a^3b^2c^10)^0
Flauer [41]

Option C: 1 is the simplification of the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0}

Explanation:

The given expression is \left(-9 a^{3} b^{2} c^{10}\right)^{0}

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, a^{0}=1 where a \neq 0

Thus, the the exponent rule a^{0}=1 means that any value (except zero) to the power of zero is equal to one.

Thus, the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0} becomes,

\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

8 0
3 years ago
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