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MissTica
3 years ago
5

Why is the greatest common factor of 2 numbers sometimes 1

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0
The greatest common factor of two numbers, one of which is 1, will always be 1.
lions [1.4K]3 years ago
3 0
If the numbers are prime then the only factors are the numbers and 1.
For example - the factors of 5 are 1 and 5 and the factors of 7 are 1 and 7 so they only share the number 1.  That is the GCF of 5 and 7.
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What are the slope and why intercept shown on the graph below
viktelen [127]
Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} }

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

\frac{5(-5)}{0-4}

Simplify:

\frac{5+5}{-4}

\frac{10}{-4}

\frac{-5}{2}

The slope is \frac{-5}{2}.

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!
3 0
3 years ago
Read 2 more answers
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72
lisov135 [29]
\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\sqrt{(-27-27)^2+(36+36)^2}\\\\ \sqrt{54^2+72^2} \\\\ \sqrt{8100} \\\\90\\\\\\90+54 =\boxed { 144}\\\\\sf The~ distance~ 90~ is~ from ~the~ warehouse~ to ~the ~airport\\\\The~ distance~ 54~ is~ from ~the~ airport~ to ~the~ factory\\\\So,~ the~ total~ distance~ is~ 144
6 0
3 years ago
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Macy measured the mass of a 69.3 g mouse at 70.0 g. Eli measured the mass of a 3867 kg elephant at 3900 kilograms. Macy's error
coldgirl [10]
3900 - 3867 = 33kg about the size of a little boy
6 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
Lena [83]

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-1-(-4)/3-7

3/-4

y=mx+b

For the y coordinate it can be either -4,or -1

-4=3/-4x+b

b=13/4

8 0
3 years ago
Cos(0)=square root 3/3, sin 0<0. what is the value of sin0​
abruzzese [7]

Answer:

sin θ = \frac{\sqrt{6} }{3}

Step-by-step explanation:

Given that,

cos θ = \frac{\sqrt{3} }{3}

From the trigonometric functions,

cos θ = \frac{adjacent}{hypotenus}

⇒ adjacent = \sqrt{3}, and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

/hyp/^{2} = /adj/^{2} + /opp/^{2}

/3/^{2} = (\sqrt{3} )^{2} + x^{2}

9 = 3 + x^{2}

x^{2} = 9 - 3

   = 6

x = \sqrt{6}

Thus, opposite side = \sqrt{6}

So that,

sin θ = \frac{opposite}{hypotenuse}

        = \frac{\sqrt{6} }{3}

Therefore,

sin θ = \frac{\sqrt{6} }{3}

6 0
3 years ago
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