Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
The length of the altitude AD is 12 units.
<h3>How to find the height of a triangle?</h3>
The height of the triangle can be found as follows:
We have to find an angle using cosine law before we can find the height.
Therefore,
20² = 13² + 21² - 2 × 21 × 13 cos B
400 = 169 + 441 - 546 cos B
400 - 610 = - 546 cos B
-210 = - 546 cos B
cos B = -210 / -546
cos B = 0.38461538461
B = cos⁻¹ 0.38461538461
B = 67.3810899783
B = 67.38°
Hence,
sin 67.38° = opposite / hypotenuse
sin 67.38° = AD / 13
cross multiply
AD = 13 sin 67.38°
AD = 11.9999882145
AD = 12 units
learn more on triangle here: brainly.com/question/13387814
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Answer:
a = 6
Step-by-step explanation:
Area = 36 
Only one number will make this missing length true.
Obviously it's a square so one number x one number will equal to 36
6 x 6 = 36
He didn’t combine the -5r + 4r correctly and also he didn’t multiply 4 and -5 correctly.
if you can show your work. use
F O I L method
first
outer
inner
last.
r • r = r^2
r • -5 = -5r
r• 4 = 4r
4• -5 = -20.
the final equation is
R^2 + r -20
