Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
= - 
= 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
mode = 43
the mode is the value which occurs most
43 occurs 3 times, 38 twice and the others only once
Hence 43 is the mode
Answer:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Step-by-step explanation:
On plotting on graph all form right angled triangle.
Dimension of all triangles and tanФ
- Base=2 Height=5 tanФ 2.5
- Base=5 Height=3 tanФ 1.6
- Base=8 Height=5 tanФ 1.6
- Base =2.5 Height=4 tanФ 1.6
[Here base and height can be interchanged if needed]
Ratio of perpendicular and base of last two triangle is equal.
First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .
Their coordinates are:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Answer:
6xy(15xy−1)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 2, 3) and r = 3 , then
(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL
x² + 4x + 4 + y² - 6y + 9 = 9 ( subtract 9 from both sides )
x² + y² + 4x - 6y + 4 = 0 → A
