All categories

3 years ago

Pls answer the question

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)
We need to determine the midpoint of A and B
Midpoint of A and B:
The midpoint of A and B can be determined using the formula,

Substituting the points (2,7) and (6,3) in the above formula, we get;

Adding the numerator, we have;

Dividing the terms, we get;

Thus, the midpoint of the points A and B is (4,5)

Message me if you need anything else I’ll be happy to help.

You might be interested in

In a game of pool, a 0.4 kg cue ball is traveling at 0.80 m/s when it hits a slower striped ball moving at 0.38 m/s. after the c

LiRa [457]

The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

<h3>What is Velocity</h3>

The definition of velocity is a vector measurement of the rate and direction of motion.
It is a moving body's speed and direction of motion.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

The mass of the cue ball given is 0.4kg.
The velocity of the cue ball given is +0.80m/s.
The velocity of the striped ball before the collision is +0.38 m/s.
The velocity of the striped ball after collision is +0.62m/s.
We need to find the magnitude of the final velocity of the cue ball.

Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball

(0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
0.32+0.152=0.4x+0.248
0.472=0.4x+0.248
0.472-0.248= 0.4x
0.224/0.4 =x
x = 0.56m/s

Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

Know more about velocity here:

brainly.com/question/25749514

#SPJ4

The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

3 0

1 year ago

Q10 A student wants to raise £100 for charity.

ElenaW [278]

Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = $\frac{150}{8}$ = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

= £3.5

Number of dog buns packets required = $\frac{150}{6}$ = 25

Cost of 25 packs = 25 × 0.9

= £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

= £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = $\frac{126}{150}$

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

8 0

3 years ago

Find the sum of the first 42 terms of the following series, to the nearest

balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2, n=42, d=5

The 42nd term is therefore given by

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

5 0

3 years ago

What is the solution to the following system?<br> -4y=8 <br> x+3y-3z=-26<br> 2x-5y+z=19

Viktor [21]

⓵
-4ỿ = 8

Simplify the left side in order to isolate the ỿ!

-4ỿ = 8
+4 +4

Ỿ = 12

⓶
× + 3y - 3z = -26

Simplify the left side in order to isolate the ×, ỿ and z!

× + 3y - 3z = -26
÷3 ÷3

× + ỿ - 3z = -8,66 periodic
÷-3 ÷-3

× + ỿ + z = 2,88 periodic

⓷
2× - 5ỿ + z = 19

Simplify the left side in order to isolate the ×, ỿ and z!

2× - 5ỿ + z = 19
÷2 ÷2

× - 5ỿ + z = 9,5
÷-5 ÷-5

× + ỿ + z = -1,9

3 0

3 years ago

Read 2 more answers

video streaming company a charges a one-time $40 membership fee and $2 per video stream. video streaming company b charges a one

ExtremeBDS [4]

Answer:

Company A:

c = 40 + 2s

Company B:

c = 20 + 4s

Equal costs => 40 + 2s = 20 +4s => 4s - 2s = 40 - 20 => 2s = 20 => s = 20/2

=> s = 10

And c = 20 + 4s = 20 + 4(10) = 20 + 40 = 60

Step-by-step explanation:

8 0

3 years ago