Answer:
k = 2/5
Step-by-step explanation:
from the question , we have that Suppose y is directly proportional to x
mathematically'
y ∝ x
y = kx ................................................................. where k is the constant of proportionality
given that y = 8, x = 20 where k = ?
so from,
y = kx
we are going to make k the subject of the formula by getting rid of x away from k.
y = kx
divide both sides by x
y/x = kx/x
y/x = k
therefore k = y/x
k = 8/20
k = 2/5
therefore the value of k which is the constant of proportionality in this expression is given to be 2/5
B. Because the line is negative so it is rise over run meaning down one over two. Then the plus two is the b or y intercept in the equation y= my+b so you would go up two from the (0,0) to start the do the rise over run
Answer:
19.64
Step-by-step explanation:
78.55/4= 19.6375
19.6400
X² + 2x = 24
Organizing:
x² + 2x - 24 = 0
<<<< (<em>Quadratic </em><span><span><em>equation</em>)
</span>
</span><span>Delta:
</span>Δ = b²<span> - 4.a.c </span>
Δ = 2²<span> - 4 * 1 * -24 </span>
<span>Δ = 4 - 4 * 1 * -24 </span>
Δ = 100
<span>Bhaskara:
</span><span>x = (-b +- √Δ)/2*a
</span>
x' = (-2 + √100)/2*1
x' = 8 / 2
x' = 4
x'' = (-2 - √100)/2*1
x'' = -12 / 2
x'' = -6
Result: x = 4 or<span> x = - 6 .
</span>
Good studies! :)
Answer: 90°
Step-by-step explanation:
The two arcs made by the angle will add up to twice the value of the angle in degrees
89 * 2 = 178
178 - 88 = 90