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lions [1.4K]
3 years ago
10

Find the slope write into slope intercept form (19,-16),(-7,-15)

Mathematics
2 answers:
avanturin [10]3 years ago
6 0

Answer: m= -\frac{1}{26}

(19,-16) = (x1,y1)

(-7-15) = (x2,y2)

Slope= \frac{y2-y1}{x2-x1}

         = \frac{-15-(-16)}{-7-19}

         = \frac{-15+16}{-7-19}

         = \frac{-15+16}{-26}

         = -\frac{1}{26}

lesya [120]3 years ago
3 0
The slope is 1/-26 so y+16=1/-26(x-19)
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7 0
3 years ago
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The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r
svp [43]

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that a = 50, b = 52

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

3 0
3 years ago
In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a
slava [35]
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
6x-42=3x+15\\3x=57\\x=19

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = 6(19)-42=72
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
6 0
3 years ago
Explain the different ways it is possible to add two rational numbers and get a negative number.
Eduardwww [97]

<u>Answer:</u>

both numbers are negative

negative number is greater than the positive number

<u>Step-by-step explanation:</u>

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

<u>1- both numbers are negative.</u>

2- negative number is greater than the positive number

3 0
3 years ago
The diagram represents a reduction of a triangle by using a scale factor of 0.8.
Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

3 0
3 years ago
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