When you multiply, you are often making a comparison between two numbers.
Answer:
The result is 150 + 1.5d
Step-by-step explanation:
We want to translate the wordings into algebraic expression.
Firstly, we increase 120 by d%
d% = d/100
So increasing 120 by d % means;
120 + (d/100 * 120)
= 120 + 1.2d
Then increase this by 25%
= (120 + 1.2d) + 25/100(120 + 1.2d)
= 120 + 1.2d + (120+1.2d)/4
= 120 + 1.2d + 30 + 0.3d
= 120 + 30 + 1.2d + 0.3d
= 150 + 1.5d
<span><span><span>Side c = </span>18</span><span>
<span>Angle B = </span>79°
</span><span><span>Side a = </span><span>12
AB = side b
</span></span></span><span><span>Use the Law of Cosines to find the length of side b.</span><span> <span>
b^2 = </span><span>a^2 + c^2 − 2ac cos(B)</span></span><span> <span>
b^2 = </span><span>(122 + 182) − ( 2 x 12 x 18) cos(79°)</span></span><span>
<span>b^2 = </span>(144 + 324) − 432 x 0.191</span><span> <span>
b^2 = </span>468 - 432 x 0.191</span><span> <span>
b^2 = </span>468 - 82.429</span><span> <span>
b^2 = </span>385.571</span><span>
b = √385.571</span><span>
b = 19.636
Rounded to the nearest tenth is 19.6 cm.
Hope this helps!</span></span>
Slope of that line would be
(0-6)/(3-0) = (-6)/3 = -2
then slope intercept form is
y = mx + b
where m = slope and b is the y intercept
so now we have y = -2x + b
and the y intercept is when x = 0
so b = 6 from that point (0,6)
so we have the equation
y = -2x + 6
which is option C