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Feliz [49]
3 years ago
7

Verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.

Mathematics
1 answer:
Zina [86]3 years ago
4 0
No, not a right triangle
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IL<br> 8x-9<br> 5x-3<br> What’s x
shepuryov [24]

Step-by-step explanation:

8x-9=5x-3

Move any equation to the opposite side. I'll use the left this time

8x - 8x - 9 + 9 = 5x - 8x - 3 + 9

0 =  - 3x  + 6

move 6 to opp side

- 3x =  - 6

\frac{ - 6 =  - 3x}{ - 3}

x = 2

3 0
3 years ago
Is the binomial a factor of the polynomial nominal function?
Sedbober [7]

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

  • (x-1) - No
  • (x-3) - No
  • (x+3) - Yes
  • (x-5) - Yes
  • (x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0
3 years ago
Have Retirement Benefits
charle [14.2K]

Answer:

(a) The probability of the intersection of events "man" and "yes" is 0.55.

(b) The probability of the intersection of events "no" and "man" is 0.10.

(c) The probability of the union of events "woman" or "no" is 0.45.

Step-by-step explanation:

The information provided is:

             Yes    No   Total

Men       275   50     325

Women  150   25      175

Total      425   75      500

(a)

Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

P(M\cap Y)=\frac{n(M\cap Y)}{N}=\frac{275}{500}=0.55

Thus, the probability of the intersection of events "man" and "yes" is 0.55.

(b)

Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

P(N\cap M)=\frac{n(N\cap M)}{N}=\frac{50}{500}=0.10

Thus, the probability of the intersection of events "no" and "man" is 0.10.

(c)

Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

P(W\cup N)=P(W)+P(N)-P(W\cap N)=\frac{175}{500}+\frac{75}{500}-\frac{25}{500}=0.45

Thus, the probability of the union of events "woman" or "no" is 0.45.

5 0
3 years ago
An electronic store prices 3 dozen video games at a total of 1467 if each video game costs the same amount what m is the total c
PilotLPTM [1.2K]

Answer:4 dozens of video games would cost $1956

Step-by-step explanation:

An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36

if each video game costs the same amount, then the cost of one video game would be

1467/36 = $40.75

The total number of video games in 4 dozens of video game would be

4 × 12 = 48

Therefore, the total cost of 48 video games would be

48 × 40.75 = $1956

4 0
3 years ago
A car salesperson receives a 7% commission per car sold. How much commission would the salesperson receive when selling a car fo
Natali5045456 [20]

Answer:

$1680

Step-by-step explanation:

To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07

.07 × 24000

= 1680

7 0
2 years ago
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