All categories

2 years ago

Find the distance between the points A(-4, -3) and B(-8, 7). Round your answers to the nearest tenth.

Mathematics

1 answer:

Firlakuza [10]2 years ago

6 0

Answer:

distance = 10.8

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

so, Pythagoras is used.

c² = a² + b²

c = the Hypotenuse (the side of the triangle being opposite to the 90 degree angle).

x- difference : -4 - -8 = +4

y- difference : -3 - 7 = -10

c² = +4² + (-10)² = 16 + 100 = 116

c = sqrt(116) = 10.8

You might be interested in

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago

Describe the relationship between 45 stundents and 15 stundents

TiliK225 [7]

Answer— 45/15=3 so there is 3 classes with 15 students in each class? I didn’t really understand your question but I tried!

Hope it helped!

8 0

3 years ago

Read 2 more answers

Solve |4 - 2x| = |3x+ 2|.

andreyandreev [35.5K]

Answer:

Step-by-step explanation:4 -2x=3x +2

4-2=3x+2x

2=5x

X=2/5

5 0

2 years ago

Read 2 more answers

A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm.

Sindrei [870]

Answer:

4000 nm

Step-by-step explanation:

Conversion from meters to nanometers: 1 meter is 1(10⁹) nm

Step 1: Convert 0.000004 to scientific notation

0.000004 = 4(10⁻⁶)

Step 2: Convert by multiplication

4(10⁻⁶) x 1(10⁹) = 4000 nm

8 0

2 years ago

A car is moving at 45mph. Once the care starts to break, its speed(s) is related to the number of seconds(t) it spends breaking

lana [24]

Step-by-step explanation:

When the car stops, the speed is zero.

When S = 0, -10t + 45 = 0, t = 4.5.

Hence it will take 4.5 seconds for the car to stop.

8 0

2 years ago

Read 2 more answers