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2 years ago

Simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years

Mathematics

1 answer:

sweet [91]2 years ago

6 0

For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.

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A new washing machine uses 45% less water than an older

enot [183]

Answer:The family will use 792 gallons of water in the new washing machine

Step-by-step explanation:

1440 X 0.55=792

100-45=55

5 0

2 years ago

F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?

Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

$l_{HF} = \sqrt{\left (4-7 \right )^{2}+\left (1-(-11) \right )^{2}} = \sqrt{\left (-3 \right )^{2}+\left (12 \right )^{2}} = 3\cdot \sqrt{17}$

Similarly, we check the length of HJ, to get;

$l_{HF} = \sqrt{\left (3-7 \right )^{2}+\left (5-(-11) \right )^{2}} = \sqrt{\left (-4 \right )^{2}+\left (16 \right )^{2}} = 4\cdot \sqrt{17}$

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0

3 years ago

Hree people play a game in which one person loses and two people win each round. The loser must pay each winner the amount that

ipn [44]

Answer:

$7 ; $4 ; $3

Step-by-step explanation:

Given that:

1 player loses and 2 wins

Loser pays each winner amount each winner already has

3 rounds was played

At the end, each player has lost 1 round each and has $8.00

Since each player lost 1 round each, then each player won twice.

Given that the players are A, B and C

Starting from the last round :

Recall; they all have $8 after the last round.

If A lost the last round and pays B and C the amount they already have.

B and C finally have $8, Hence amount A paid B and C = 8/2 = $4 each

Hence, at the end of 2nd round / before last round :

A has ($8 paid + $8 final) = $16

B and C each have $4

End of first round before 2nd round of game:

If B lost, and pays A and C the amount they already have ;

A finally has 16 hence, amount B pays A = 16/2 = $8

Amount B pays C = 4/2 = $2

A = $8

B = $4 + $(8 + 2) = $14

C = $2

Ist round

C will lose :

Amount C pays B = $14 / 2 = $7

Amount C pays A = $8 /2 = $4

Hence, amount C has before round 1:

$7 + $4 + $2 = $13

Hence; Before the game ;

Either of the three players have ;

$7 ; $4 and $13

6 0

2 years ago

The average July temperature in Texas is 99 degrees Fahrenheit. The actual July temperature for a city may be about 5 degrees ho

melisa1 [442]

Answer:

| x-99 | =5

Step-by-step explanation:

x equals the temperature on that day

5 0

3 years ago

A premedical student at a local university was complaining she just paid $158.60 for her anatomy book after a 9% discount on the

erik [133]

Answer:

.91 * x = 158.6

x = 158.6/.91 = $174.29

Step-by-step explanation:

4 0

2 years ago