All categories

4 years ago

Ab with endpoints A(4,-6) and B(-4,2)

Mathematics

1 answer:

gayaneshka [121]4 years ago

4 0

Answer: $d_{AB}=11.31\ units$

Step-by-step explanation:

The formula for calculate the distance between two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, given the points A(4,-6) and B(-4,2), we can identify that, we just need to substitute values into the formula in order to calculate the distance between the given points.

Thierefore, this is (Rounded to the nearest hundred):

$d_{AB}=\sqrt{(4-(-4))^2+(-6-2)^2}\\\\d_{AB}=11.31\ units$

You might be interested in

The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7 − x)), use your calculator to find the slope

yan [13]

Answer:

Slope of the line $PQ is -63.434948.$

Step-by-step explanation:

Given that,

The point $P(8,-3)$ lies on the curve $y=\frac{3}{7-x}$ .

If $Q$ is the point lies on $(x,\frac{3}{7-x} )$ .

To find:- Find the slope of line $PQ$ .

So,

The coordinates of point $Q$ when it lies on $(x,\frac{3}{7-x} )$

if $x=1$ then $y= \frac{3}{7-1} =\frac{3}{6} =\frac{1}{2}$

So, $Q$ ≡ $(1,\frac{1}{2} )$ and many points can be calculated by given Equation.

Using the formula when two points $(x_{1} ,y_{1} ) \& (x_{2}, y_{2} )$ .

$Slope=Tan\theta = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Then, substituting the coordinates we get,

$Slope = \frac{1-8}{\frac{1}{2}-(-3) }$

$Slope = \frac{-7}{\frac{1}{2}+3 } = \frac{-7}{\frac{7}{2} }$

$Slope = \frac{-14}{7}=-2$

$tan\theta=-2$ ⇒ $\theta = tan^{-1} (-2)$

$\theta= -63.434948$

Therefore,

Slope of the line $mPQ is -63.434948.$

7 0

3 years ago

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Ma

quester [9]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 p

avanturin [10]

Answer:

small = 35 pounds

large = 45 pounds

Step-by-step explanation:

Let x = large boxes

y = small boxes

two equations can be derived from the question

x + y = 80 equation 1

60x + 65y = 4975 equation 2

multiply equation 1 by 60

60x +60y = 4800 equation 3

subtract equation 2 from 3

5y = 175

y = 35

substitute for y in equation 1

x + 35 = 80

x = 80 - 35

x = 45

6 0

3 years ago

WHAT IS 3/8 DIVIDED BY 1/2

serious [3.7K]

Answer: 3/4

Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.

So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.

Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.

So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.

Therefore, 3/8 divided by 1/2 is 3/4.

7 0

3 years ago

A textbook store sold a combined total of 309 sociology and history textbooks in a week. The number of sociology textbooks sold

Anestetic [448]

The store sold 206 sociology textbooks and 103 history textbooks.

4 0

3 years ago