Answer: 5-10g+20h
Step-by-step explanation:
You can rewrite as 5(1-2g+4h). 5x1 equals 5, 5x2g=10g, 5x4h=20h, then you get 5-10g+20h
-viridiancat4, an 8th grader! :)
The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
We simply replace a with -9
k(-9) = 4 * -9 - 4
k(-9) = -40
:)
Answer:
28 m
Step-by-step explanation:
The top angle in the triangle = 90° - 62° = 28°
Using the cosine ratio in the right triangle
cos28° = 
= 
cross- multiply
x × cos28° = 25 ( divide both sides by cos28° )
x = 
= 28.31425... ≈ 28 m
Thus the distance from the top to the crocodile is 28 m
Answer:
False
Step-by-step explanation:
There are two concepts:
1. Row Echelon Form: There can be more than two <em>row echelon forms</em> of a single matrix, so different sequences of row operations can lead to different <em>row echelon forms</em> of a single matrix.
2. Reduced Row Echelon Form: It's unique for each matrix, so different sequences of row operations always lead to the same <em>reduced row echelon form</em> for the same matrix.
