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2 years ago

What is the greatest common factor of 72 and 112

Mathematics

1 answer:

swat322 years ago

8 0

112: (2) (2) (2) (2) (7)
72: (2) (2) (2) 33
__________
GCF: (2) (2) (2)= 8

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Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?

Sophie [7]

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

6 0

2 years ago

PLEASE HELP ASAP: A particle is moving with velocity v(t) = t2 – 9t + 18 with distance, s measured in meters, left or right of z

dimaraw [331]

1) $\frac{v(8)-v(0)}{8 - 0} = \frac{10-18}{8} = -1\frac{m}{s}$ .
2) $v(5) = 5^2-9*5+18 = 25-45+18 = -2\frac{m}{s}$ .
3) The particle is moving right when the velocity function is positive: $0\ \textless \ t\ \textless \ 3$ or $6\ \textless \ t\ \textless \ 8$ .
4) When $0\ \textless \ t\ \textless \ \frac{9}{2}$ the particle is slowing down because the acceleration is close to zero $\Rightarrow$ the particle is speeding up when acceleration is increasing away from zero: $\frac{9}{2}\ \textless \ t\ \textless \ 8$ .
5) $(\frac{1}{8})* \int\limits^8_0 {t^2-9t+18dt}=\frac{1}{8}*(\frac{t^3}{3}-(\frac{9}{2}*t^2+18t)_{0}^{8}= \\=(\frac{1}{8})*(\frac{8^3}{3}-(\frac{9}{2})*8^2+18*8)=\frac{8^2}{3}-(\frac{9}{2})*8+18=3\frac{1}{3} \frac{m}{s}$ .

3 0

2 years ago

Gabriel planted a tree in his back yard. The label said that the tree would grow to approximately 7 meters tall. About how tall

cestrela7 [59]

The question posted is simply asking you to convert the measurement given above. We just need the conversion factors to obtain the correct measurements. We do as follows:

7 meters ( 39 in / 1 m ) = 273 inches tall

273 inches ( 1ft / 12 in ) = 22.75 ft tall

Hope this answers the question. Have a nice day.

4 0

2 years ago

A triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side that is 4 feet shorter than

Inessa05 [86]

Answer:

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

Step-by-step explanation:

Assuming that the shortest side of this triangle has a length of "x" feet, then one side is "x + 4" feet and the third is "2*x - 4" feet. Since the perimeter of the deck is 80 feet, then the sum of the length of these sides should be equal to that.

$x + x + 4 + 2*x - 4 = 80\\4*x = 80\\x = \frac{80}{4} = 20 \text{ feet}\\$

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

8 0

2 years ago

The mass of a dust particle is 0.000000000753 kg. How would this number be written in scientific notation? 753 * 10-10 7.53 * 10

Andrei [34K]

Answer:

the answer is 7.53 * 10-10

Step-by-step explanation:

7 0

2 years ago