Answer:
Step-by-step explanation:
When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:
A = kB
Where k is the proportionality constant (to be found)
In this problem, it is given x varies DIRECTLY with y, so we can write:
x = ky
Also, given, x = 11, y = -3, so we plug these into the equation and first find k:
x = ky
11 = k(-3)
k = -11/3
Now, we need to find x when y = 8, so we substitute and find x:
A bar graph would be a better choice because it is able to show how often he/she has gotten a good score.
Answer:
Distance of ladder top from ground = 9.2 meter (Approx.)
Step-by-step explanation:
Given:
Angle of elevation between ground and ladder = 43°
Length of ladder = 13.5 meter
Find:
Distance of ladder top from ground
Computation:
Length of ladder = Hypotenuse
Distance of ladder top from ground = Perpendicular
Sinθ = Perpendicular / Hypotenuse
Sin 43 = Distance of ladder top from ground / Length of ladder
0.6819 = Distance of ladder top from ground / 13.5
Distance of ladder top from ground = 9.20565
Distance of ladder top from ground = 9.2 meter (Approx.)
<h2>X² + 2x = 4</h2><h2 />
When completing the square, the goal is to create
a perfect square trinomial on the left side of the equation.
The number used to create one will come from
half the coefficient of the middle term squared.
In this case, that's half of 2 squared or 1 squared, which is 1.
So we add 1 to both sides giving us x² + 2x + 1 = 5.
From here, we set this as a binomial squared.
The first term is an x and the second term will
be half the coefficient of the middle term squared.
So we have (x + 1)² = 5.
Now square root both sides and remember to use plus or minus.
So we have x + 1 = ±√5.
Now subtract 1 form both sides to get x = -1 ± √5.
Answer: 18 quarts for Part a
9 gallons for part b
Step-by-step explanation:
