Answer:
a total of 12
Step-by-step explanation:
1,2,3,4,5,6,10,12,15,20,30,60,
factors are Numbers we can multiply together to get another number.
Yay, love these ones.
First of all, (4x-+3)(-2x-5) is the same as (4x-3)(-2x-5)
So the method for solving these can be remembered by FOIL.
F= Firsts O= Outsides I= Insides L= Lasts
In other words everything is multiplied by everything, for example:
4x * -2x and -3 * -5 <span>is the firsts of the brackets multiplied and last of the brackets mulitplied
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4x * -5 and 3 * -2x is the outsides of the brackets multiplied and the insides of the brackets multiplied
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The SUM of FOIL is then added:</span><span>
</span><em>4x*-2x = -8x^2</em>
<em>-3*-5= 15</em>
<em>4x*-5=-20x</em>
<span><em>3*-2x=-6x</em>
</span><span>-8x^2 -20x -6x + 15 = 0
-8x^2 -26x + 15 = 0
So the factored of (4x-3)(-2x-5) <u /><em>=</em> -8x^2 -26x + 15 = 0
So then you graph that equation on your given grid
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The the parabola opens upward it has a minimum and if it opens downward then it has a maximum :)
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
