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3 years ago

Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?

2 answers:

5 0

With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).

m=(4-2)/(2-(-3))
= 2/5

Therefore the slope is 2/5.

Katyanochek1 [597]3 years ago

4 0

For points (x1,y1) and (x2,y2)
the slope of the line going through those points is
(y2-y1)/(x2-x1)
given
(2,4) and (-3,2)
x1=2
y1=4
x2=-3
y2=2

slope=(2-4)/(-3-2)=-2/-5=2/5

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A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?

Alexandra [31]

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

3 0

2 years ago

Determine the point estimate of the population proportion, the margin of error

ahrayia [7]

Answer:

$\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals$

Step-by-step explanation:

-Given the boundaries as 0.412 and 0.878

- $\hat p$ is the point estimate for the population proportion and is calculated as follows:

$\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\$

#The margin of error, ME can be calculated for the confidence intervals using the formula:

$ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233$

#The number of individuals in the sample is the product of the point estimate and population size:

$\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645$

Hence, there are 645 individuals in the sample.

8 0

3 years ago

Hypotenuse Math. 15 Points.

Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0

3 years ago

Read 2 more answers

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3 years ago

Find the value of x.<br>PLEASE HELP ME!!!!!!

NISA [10]

Answer:

34 degrees

Step-by-step explanation:

sin(x) = opp/hyp = 9/16

So, x = 34.22 degrees

After rounding to the nearest degree, x = 34 degrees

8 0

2 years ago