Answer:
As shown in picture,
EB is perpendicular with AC
DC is perpendicular with AC
=> EB // DC
Applying Thales theorem:
BC/AC = ED/AD
=> AD = ED x AC/BC = 72 x 88/55 = 115.2
=> AE = AD - ED = 115.2 - 72 = 43.2
Hope this helps!
:)
Answer:
251
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
Answer:
g(f(-4)) = -8
f(g(x)) = 13-10x
Step-by-step explanation:
g(f(-4)):
Plug in the equation f(x) into the variable x of g(x), we have:
Plug in x = -4 and the answer is -8
f(g(x)):
Plug in the equation g(x) into the variable x of f(x), we have:
Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
