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Lana71 [14]
3 years ago
15

If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

a=-4

b=2

c=7

so therefore a*b*c=-4*2*7

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Shelly is hanging strings of holiday lights around the front windows of her house. Each window is a square with sides measuring
xeze [42]

Answer:

  4

Step-by-step explanation:

The perimeter of each square window is 4 times the length of one side, so is 20 feet.

80 feet can be divided into 80/20 = 4 sections of 20 feet each.

Shelly has enough lights to surround 4 windows.

8 0
3 years ago
Read 2 more answers
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the
drek231 [11]

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

6 0
3 years ago
4. If u = {1,2,3,....10) A = { odd numbers up to 9} B = {numbers less than 7). Write out the members of the following sets: (i)
icang [17]

Answer:

i. {1,2,3,4,5,6,7,9}

ii. {1,3,5}

iii. {1,2,3,4,5,6,8,10}

Step-by-step explanation:

U= {1,2,3,4,5,6,7,8,9,10}

A= {1,3,5,7,9}

B= {1,2,3,4,5,6}

A U B = {1,2,3,4,5,6,7,9}

A n B = { 1,3,5}

A (prime) U B =

A(prime)= {2,4,6,8,10}

Therefore A(prime)= {1,2,3,4,5,6,8,10}

6 0
2 years ago
HELP ASAP!<br>Find the equation of the line.<br>Use exact numbers.<br>y=___x+___​
snow_tiger [21]

Answer:

y = 3/4x-2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.
mafiozo [28]

Answer:

18x + 48 = 20

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

We are given the expression:

3/4x + 2=5/6

= 3x/4 + 2 = 5/6

Rewriting the Equation so that it does not have fraction is, we Multiply both sides by the 24

= 3x/4 × 24 + 2 × 24 = 5/6 × 24

= 3x/4 × 24 + 48 = 5 × 4

= 3x × 6 + 48 = 20

= 18x + 48 = 20

Therefore, the Equation without fractions = 18x + 48 = 20

3 0
2 years ago
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