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3 years ago

(Find the distance between the points A(4, 3) and B(7,-1).

Mathematics

2 answers:

murzikaleks [220]3 years ago

8 0

The answer to this problem is 5.

lana66690 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos. Use the Distributive Property

BabaBlast [244]

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

4 0

3 years ago

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

4 years ago

Evaluate: 8 - 9+(-2)

Kobotan [32]

Evaluate : 8 - 9 + (-2)

8-9= -1 (because if you take away 9 from 8, you will end up with a negative number since there isn’t enough to take away.)

-1 + -2 = -3 (this is because when you are adding two negative numbers together, you will basically just add -1 and -2 as you would normally, then you would transfer the negative sign as well to make it -3)

Finally, your answer to this question is -3.

5 0

3 years ago

(PLEASE HELP)simplify 2 with an exponent of 5 over 3 with an exponent of 2 and the equation has an exponent of 4

Nostrana [21]

Assuming you mean this as your problem I hope I can assist you.
$( \frac{2^5}{3^2})^4$
So just apply the exponent rule to start, which is (a/b)^c = a^c/b^c
This translates to....
$\frac{(2^5)^4}{(3^2)^4}$
Now apply the exponent rule (a^b)^c = a^bc
Which translates to 3^2 * 4 which is refined to 3^8
So now we have....
$\frac{(2^5)^4}{3^8}$
Just apply the exponent rule (a^b)^c
So we get 2^5 * 4 which refines to 2^20
Therefore our final answer is 2^20/3^8

4 0

3 years ago

One February day in Millington, The temperatures ranged from -2°C to 7°C. What was the difference between the high and low tempe

brilliants [131]

The answer to the question is 9°C

4 0

3 years ago

(Find the distance between the points A(4, 3) and B(7,-1).​

(Find the distance between the points A(4, 3) and B(7,-1).