All categories

4 years ago

What is the distance between points (−2, 8) and (6, −2)? Round to the nearest tenth of a unit.

1 answer:

3 0

$(-2,8) \\ x_1=-2 \\ y_1=8 \\ \\
(6,-2) \\
x_2=6 \\ y_2=-2 \\ \\
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(6-(-2))^2+(-2-8)^2}= \\
=\sqrt{8^2+(-10)^2}=\sqrt{64+100}=\sqrt{164} \approx 12.8$

The distance is approximately 12.8 units.

You might be interested in

F(x)=x find the graph of f(x)+3

Anastasy [175]

Given that f(x) = x.
Then f(x) + 3 is the graph of f(x) translated 3 units up.

8 0

4 years ago

What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?

ser-zykov [4K]

Parallel lines have the same slope

The equation of the line is: $y = -2x+8$

The equation is given as:

$y = -2x + 5$

The slope intercept form of an equation is:

$y = mx + b$

Where:

$m \to slope$

By comparison,

$m = -2$

The line is said to be parallel to $y = -2x + 5$ .

This means that the line has a slope of $m = -2$

The equation of the line is then calculated as:

$y = m(x - x_1) + y_1$

Where:

$(x_1,y_1) = (4,0)$

So, we have:

$y = m(x - x_1) + y_1$

Substitute values for m, x1 and y1

$y = -2(x - 4) + 0$

$y = -2(x - 4)$

Open brackets

$y = -2x+8$

Hence, the equation of the line is: $y = -2x+8$

See attachment for the graphs of $y = -2x+8$ and $y = -2x + 5$

Read more about equations of parallel lines at:

brainly.com/question/402319

8 0

3 years ago

A plane rises from take off and flies at an angle 11° with the horizontal runway. When it has gained 750 feet find the distance

kogti [31]

Answer:

$D=3930.632298 \approx 3930.6miles$

Step-by-step explanation:

From the question we are told that

Angle $\theta=11\textdegree$

Height of plane $h =750feet$

Generally the equation for the total distance flown is mathematically given by

$D=\frac{h}{sin\theta}$

$D=\frac{750}{sin11}$

Therefore total distance flown is

$D=3930.632298 \approx 3930.6miles$

7 0

3 years ago

The length of the rectangle is increased by 10%.

jonny [76]

Answer:

8% increase

Step-by-step explanation:

The length after the increase:

30 x 1.1 = 33cm

The width after the increase:

20 x 1.05 = 21cm

New perimeter:

2(33 + 21) = 108 cm^2

Old perimeter:

2(30 + 20) = 100 cm^2

Percentage increase of area:

108 / 100 = 1.08 = 8% increase

3 0

3 years ago

Read 2 more answers

A car manufacturer can produce 200 cars per day.

quester [9]

Answer:

IT WILL TAKE 4 WEEKS TO PRODUCE 5,600 CARS

5 0

4 years ago

Read 2 more answers