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vlabodo [156]
3 years ago
10

two positive integers are 3 units apart on a number line. their product is 180. wich equation can be used to solve for m, the gr

eater integer?​
Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

m^2-3m-180=0

m=15

Step-by-step explanation:

greater integer = m

small integer = n

we know that m = n+3 or n = m-3

we also know that n*m = 180

replace n for m-3

(m-3)*m=180

or

m^2-3m-180 = 0

(m-15)(m+12)=0

so m = 15 or -12, but since problem states positive, m=15

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I NEED HELP PLEASE! :)<br> thanks
luda_lava [24]

Formula: A = pq/2

p = d1

q = d2

Substitute with the given values and solve.

A = 12*14/2

A = 168/2

A = 84

Therefore, the ansewr is 84in²

Best of Luck!

3 0
3 years ago
The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
What is the sum of the arithmetic sequence 18 E t=1 (5t-4)
dezoksy [38]

The arithmetic sequence is:

\displaystyle\sum_{t = 1}^{18} (5t - 4)

The answer is:

783

7 0
3 years ago
Read 2 more answers
What’s the equivalent expression
r-ruslan [8.4K]

Answer:

9 (2 a - 3)^2

Step-by-step explanation:

Simplify the following:

(6 a - 9)^2

Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.

Factor 3 out of 6 a - 9:

(3 (2 a - 3))^2

Hint: | Distribute exponents over products in (3 (2 a - 3))^2.

Multiply each exponent in 3 (2 a - 3) by 2:

3^2 (2 a - 3)^2

Hint: | Evaluate 3^2.

3^2 = 9:

Answer: 9 (2 a - 3)^2

4 0
3 years ago
50 POINTS!!!! HELPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! WILL GIVE BRANLEST!!!
sineoko [7]
  1. B
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  3. first one is a function, second is not, third is, fourth isnt
  4. (-5,2) and (-5,1), (6,-5) and (6, 5), (2,2) and (2,3), (-1, 0) and (-1, 6)

Hope this helped!! <3

7 0
3 years ago
Read 2 more answers
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