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2 years ago

What is the slope??

Mathematics

2 answers:

Mariana [72]2 years ago

5 0

Answer:

m= 3/6 or 1/2

Step-by-step explanation:

First you have to pick two points from the line, it is could any two points

I picked (-6,0) and (0,3)

Slope= y2 - y1 / x2 - x1

Now you should pick which one is point 1 and which one is point 2, any point could the first or the second, so it is your choice

point 1; (-6,0)

point 2: (0,3)

now substitute for X and Y

3-0/0-(-6)= m

3/0+6=m when there is two negative symbol them the symbol will turn positive, so you add 6 and 0

m=3/6 or 1/2

goldenfox [79]2 years ago

3 0

-2/4
Move down 2 and to the right 4 times

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A levee protects a town in a low-lying area from flooding. According to geologists, the banks of the levee are eroding (wearing

Cloud [144]

Answer:

The signed number that indicates how much of the levee will erode during the next decade is:

-30 feet

Step-by-step explanation:

a) Data and Calculations:

Erosion rate of the banks of the levee = 3 feet per year

For 10 years, if nothing is done to correct the problem, the eroded banks will be equal to 10 * 3 = 30 feet

Therefore, the signed erosion in the next decade is -30 feet.

b) The quantity of erosion can be given as the number of years involved without correction, multiplied by the rate of erosion per year. This implies that the quantity of erosion depends on the number of years and the rate of erosion per year.

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2 years ago

5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?

frozen [14]

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

6 0

2 years ago

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 72.3, \sigma = 8.9$

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90 - 73.9}{8.9}$

$Z = 1.81$

$Z = 1.81$ has a pvalue of 0.9649

X = 82

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{82 - 73.9}{8.9}$

$Z = 0.91$

$Z = 0.91$ has a pvalue of 0.8186

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

3 0

2 years ago

The length of a rectangle is 2 centimeters more than five times the width. The perimeter is 114 inches. Find the width and the l

gogolik [260]

1. Let L=length and W=width
2. L=5w+2
3. The perimeter can be solved as follows:
(5w+2) + (5w+2) + w + w = 114 in
12w + 4 = 114 in
12w = 110
w = 110/12
w = 9.17
L = 47.83

7 0

2 years ago

One side if the labtop is 9.5 inches and the other side is 14 inches. Using the Pythagorean Theron, what is the length of the di

Digiron [165]

(side 1)² + (side 2)² = (diagonal)²

(9.5² + (14)² = (diagonal)²

90.25 + 196 = (diagonal)²

286.25 = (diagonal)²

√286.25 = √(diagonal)²

17 = diagonal

Answer: 17 inches

3 0

2 years ago