All categories

2 years ago

Find the distance between the two points (4,-5) and (-1,7) In units

Mathematics

1 answer:

viktelen [127]2 years ago

5 0

$\sqrt{ {(4 + 1)}^{2} + {( - 5 - 7)}^{2} } \\ {5}^{2} = 25 \\ { - 12}^{2} = 144 \\ 144 + 25 = 169 \\ \sqrt{169} = 13$

You might be interested in

Pls help with Question 11. I need to submit it by tmr

Wewaii [24]

Answer: 81.85 km/hr

Converting m/sec into km/hr, 25 m/sec = 90 km/hr

Average =

Time = 50/90 = 5/9 hr

next 120 km at an average speed of 80km/h

=> Time = 120/80 = 3/2 hr

last part of its journey at an average speed of 90km/h in 35 Minutes

time = 35 minutes = 35/60 hr = 7/12 hr

Distance covered = 90 * 7 /12 = 105/2 km

Total Distance = 50 + 120 + 105/2 = 435/2 km

Total time = 5/9 + 3/2 + 7/12 = ( 20 + 54 + 21) /36 = 95/36

Average speed = (435/2)/(95 /36) = 432 * 18 /95 = 81.85 km/hr

8 0

2 years ago

Factor. 9y2 - 12y - 12 Please put it as (x+b) (x+b) form

Step2247 [10]

Answer:

3(3y+2)(y-2)

hope this helps

4 0

2 years ago

Read 2 more answers

When 5 is added to 2 times a number, the result is 45. find the number.

WINSTONCH [101]

A.

let the number be n.
2n+5=45
2n=40
n=20

3 0

2 years ago

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Alex17521 [72]

Solution:

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

Answer:

x = ± 3

Hope you could understand.

If you have any query, feel free to ask.

3 0

1 year ago

What is the volume of the following rectangular prism? 3 1/3 units^2 1 2/5 units

nlexa [21]

The Answer : 23.6 units

6 0

2 years ago

Read 2 more answers