L = A/W
L = 72a³b⁴ / <span>6a²b
L = 12 a b</span>³
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
2x + 5y = 8 → (1)
- x + 3y = 7 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the term in x, thus
- 2x + 6y = 14 → (3)
Add (1) and (3) term by term to eliminate the x- term
11y = 22 ( divide both sides by 11 )
y = 2
Substitute y = 2 in either of the 2 equations and evaluate for x
Substituting in (1)
2x + 5(2) = 8
2x + 10 = 8 ( subtract 10 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Solution is (- 1, 2 )
Answer:
Consider a right angle triangle ABC such that B =90 degree as shown in figure given below with all the three sides labelled.
let
Sum of all the measures of an angle in a triangle is 180 degree.
In triangle ABC
or
Simplify:
The side AC (Hypotenuse) = 10 cm
Now, find the other sides i.e, AB and BC;
Using Sine rule
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.
then
or
or
Simplify:
AB = 6.4278761 ≈ 6.43 cm
Now,by using tangent rule to solve for BC
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
then;
or
or
Simplify:
BC = 7.66044443≈ 7.66 cm
therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)
Answer:
- m = 4/3; b = -4
- m = 3; b = -6
Step-by-step explanation:
In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.
<h3>1.</h3>
-3y = -4x +12 . . . . . subtract 4x
y = 4/3x -4 . . . . . . . divide by -3
The slope is 4/3; the y-intercept is -4.
__
<h3>2.</h3>
y = 3x -6 . . . . . . divide by 2
The slope is 3; the y-intercept is -6.
_____
<em>Additional comment</em>
Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.
(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)
1 minute = 60 seconds
first covert cal/sect o cal/min
7.68 cal/sec x 60 seconds = 460.8 cal/min
1 Kcal = 1000 cal
divide cal by 1000 to get Kcal
460.8 cal/min / 1000 = 0.4608 Kcal/min
round answer as needed