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11Alexandr11 [23.1K]
3 years ago
13

What is the slope-intercept form of the function that contains the point (1, –2) and has a slope of –3?

Mathematics
1 answer:
kolezko [41]3 years ago
5 0
<span>y=mx+b                                                                                                                       -2=-3(1)+b                                                                                                                   -2=-3+b                                                                                                                        +3  +3                                                                                                                            1=b                                                                                                                             y=-3x+1</span>
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Which statements about opposites are true?
Sloan [31]

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Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

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  • The opposite of zero is zero.
  • A number and its opposite are located the same distance from zero on a number line.
  • The opposite of a negative number is always a positive number.
7 0
3 years ago
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A rectangle has a perimeter of 6 feet.
pickupchik [31]
The answer is “A” and C
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3 years ago
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What is m∠B?<br><br>A.51<br><br>B..129<br><br>C.134<br><br>D.141
san4es73 [151]

Answer:

I think it 129 If not try 4

7 0
3 years ago
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches.
nalin [4]

Answer:

option C 13.5%

Step-by-step explanation:

As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as

P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]

P(64<X<66.5)=P(-2<Z<-1)

P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)

P(64<X<66.5)=0.4772-0.3413=0.1359

Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.

If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.

5 0
4 years ago
Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u &gt; 0.
max2010maxim [7]

Answer:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

Step-by-step explanation:

We want to write the trignometric expression:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)

Take the secant of both sides:

\displaystyle \sec(\theta)=\frac{u}{10}

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}

By substitutition:

\displaystyle= \sin(2\theta)

Using an double-angle identity:

=2\sin(\theta)\cos(\theta)

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)

Simplify. Therefore:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

4 0
3 years ago
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