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3 years ago

How to find the distance AB ? A(0,1) B(2,-3)

Mathematics

1 answer:

Anastaziya [24]3 years ago

4 0

Hey there!!

Distance formula :

$\sqrt{(y2-y1)^{2} + (x2-x1)^{2} }$

Coordinates given :

( 0,1 ) and ( 2,-3 )

( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )

Plugging in the values :

... $\sqrt{(-3-1)^{2}+(2-0)^{2} }$

... $\sqrt{(-4)^{2}+(2)^{2} }$

... $\sqrt{16+4}$

... $\sqrt{20}$

... $\sqrt{5}$ × $\sqrt{4}$

... 2 $\sqrt{5}$ units is the distance.

Hope my answer helps!!

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Answers please??? (If you can.)

mojhsa [17]

For number 1 ↓
A) Cards increase the score by 8 points → 5 + 3; 4 + 4
B)Cards decreased the score by 9 points→ -29 + 20; -2 +-7
C) Removing cards that increase the score by 10 points → -4 + -6 & -5 + -5 
D. Positive cards that decrease the score by 18 points. → Well since their aren't "positive card" that'll decrease the score. It might be negative cards which will decrease the scores

For number 2 ↓
Number of Cards → 5 | -3 | -4 | 3|

New cards: 5 | -12 | 4 | 3|

5 + -12 + -4 + 3 = -8

For number 3.↓
12: |-6 | -6|

8: |4 | 4 |

So, the numbers of "cards" hand would: -6 | -6 | 2 | 2| 2| 2 | ; 4| 4

3 0

3 years ago

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

$y = mx+b$

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0

3 years ago

A sampling of hemlock trees revealed that 7 out of 190 trees are infected with insects. About how many of the 950 hemlock trees

nignag [31]

Answer:

About 35 trees in a state park are infected with insects

Step-by-step explanation:

we know that

7 out of 190 trees are infected with insects

using proportion

Find out about how many of the 950 hemlock trees in a state park are infected with insects

$\frac{190}{7}=\frac{950}{x} \\\\x=7(950)/190\\\\x= 35$

therefore

About 35 trees in a state park are infected with insects

3 0

3 years ago

5 ft, 7 in, - 3 ft, 10 in.

aliina [53]

Answer:

The answer would be 1 ft 9 in

Step-by-step explanation:

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3 years ago

Please help, as soon as possible...

vodomira [7]

Answer:

1. a) Square

2. c) Rectangle

Step-by-step explanation:

1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line. The cross-section obtained will be just like an end of the prism, which in this case is a square. Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form. Technically, the answer could also be a rectangle, since a square is a rectangle.

2. you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle. Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.

6 0

3 years ago