Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.
By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
<span>3p + 15 = 3(p + 5) (distributive property)
answer
</span><span>3(p + 5)</span>
A vertical line has an undefined slope.
vertical lines are X= something
in this case it needs to intercept 9.
so it is X=9
Answer: d = 29 miles
Step-by-step explanation:
S11°W = 259° on a unit circle
N75°E = 15° on a unit circle
x separation after two hours
x = 2(8cos15 - 18cos259) = 21.179 miles
y separation after two hours
x = 2(8sin15 - 18sin259) = 19.7398 miles
total distance between them is
d = √(19.7398² + 21.179²) = 28.9518... ≈ 29 miles
