Answer:
3 seconds
Step-by-step explanation:
To find the highest point, we want to find the vertex of the parabola. Since the function will be negative, the vertex will represent the highest point.
To find the vertex we want this equation in vertex form:
y=a(x−h)2+k
and the vertex will be (h,k)
We can expand the equation h(x)=-(x+1)(x-7) to be:
To get the vertex form we need to complete the square.
The vertex form is :
so our vertex is (3,16)
This means the highest point will be 16 when x = 3
Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
Answer: The slope is 5.
Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)
(7-2)/(4-3)
5/1 = 5
Have a nice day! :)
The K-constant variation is the factor of the increase-decrease relationship between the x-variable and y-variable which can be stated as y=k*x or x=y/k<span>. For example, if y variable equal 5 and the x variable equal 2 then the k-constant variation equal 2 (calculation y=k*x --> 5=2*2.5). This constant shows the relationship between the variables.</span>
Answer:
rise over run so......
8 over 5
Step-by-step explanation:
