Answer:
Step-by-step explanation:
All numbers in scientific notation or standard form are written
,
where m is a number between 1 and 10.
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
In the table, when x = 0, y is 0, so the y-intercept is 0
y = mx + 0 or y = mx
To find "m", you can use the slope formula and plug in 2 points:
(0,0) and (1, 3)
m = 3
Slope: 3
y-intercept: 0
Equation: y = 3x
So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
Now that we have the x-coordinate, plug it into x and solve for y:
In short, the maximum height is 90.75.
X= -3 , y=-1
hope this helped !!
Answer:
48 square units
Step-by-step explanation:
Given that the sides of a triangle are 10,10 and 16.
The triangle with two equal is called and isosceles triangle.
The area of an isosceles triangle is = (b*h)/2
We have to calculate height now,
An isosceles triangle form two right triangles, each with hypothenous equal to 10.
Therfore, the base of one right triangle is 16/2 = 8
Using hypotheneous and base, we can calculate the height of the triangle
=> (10)^2 = h^2 + 8^2
=> 100 = h^2 + 64
=> h^2 = 100 - 64
=> h^2 = 36
=> sqrt(h^2) = sqrt(36)
=> h = 6
So the area is: (6*16)/2 = 48 square units