Using Euclid's algorithm, the first number you check is their difference:
60 - 48 = 12
Since 12 divides both numbers evenly, that is your GCF.
_____
If the difference does not divide both numbers evenly, you can repeat the procedure with the difference and the remainder from dividing the smallest of the other numbers by the difference. For example, ...
GCF(60, 44) = GCF(44 mod 16, 16) = GCF(12, 16) = 4
Answer:
The slope intercept form: y = - 5x + 7
Step-by-step explanation:
The equation of line f is y − 9 = -5(x + 7)
You need to find the slope of line f
y - 9 = -5(x + 7)
In point slope form: y - y1 = m(x - x1) where m = slope
In the line f, slope m = -5
Parallel lines, slope is the same so slope of line g is also equal - 5
Line g passes through (3, - 8) so equation in point slope form:
y + 8 = -5(x - 3)
y + 8 = -5x + 15
y = -5x + 7 <-----this is slope intercept form
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
Answer:
x2-5x-8=0
Step-by-step explanation:
Two solutions were found :
x =(5-√57)/2=-1.275
x =(5+√57)/2= 6.275
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-5x-8
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -5 .
-8 + 1 = -7
-4+ 2 = -2
-2+ 4 = 2
-1 + 8 = 7
