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Anastasy [175]
4 years ago
12

Is the number 1 prime, composite, neither

Mathematics
2 answers:
mario62 [17]4 years ago
6 0
Prime because 1x1 is the only thing that equals 1
Ainat [17]4 years ago
5 0
Neither. It is not composite nor prime. The definition of a prime number is a number greater than one that has no positive divisors. "1" has many factorization, etc, and therefore is neither. 
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Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
Paul [167]

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

4 0
3 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

8 0
3 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
Last week, Judith's Diner sold 6 milkshakes with whipped cream on top and 69 milkshakes without whipped cream. What percentage o
jasenka [17]

Answer:

8%

Step-by-step explanation:

6/75 = 0.08 which is 8%.

8 0
2 years ago
Why i it necesarry to combine like terms
Alex_Xolod [135]
So it can be easier to solve your problem
3 0
3 years ago
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