Answer:
Step-by-step explanation:
In this geometry, there are three "geometric mean" relations that apply. They can be summarized by the rule ...
<em>a segment touching the hypotenuse is equal to the geometric mean of the segments of the hypotenuse it touches</em>.
For x and y, the two segments will be the short one (4 or 6, respectively) and the entire hypotenuse (4+6=10).
Using this rule, we have ...
x = √(4·10) ≈ 6.3
y = √(6·10) ≈ 7.7
z = √(4·6) ≈ 4.9
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The geometric mean of two numbers is the square root of their product.
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<em>Additional comment</em>
These relations come about because all of the right triangles in this figure are similar. That means corresponding sides are proportional.
x/10 = 4/x ⇒ x² = 40
y/10 = 6/y ⇒ y² = 60
z/6 = 4/z ⇒ z² = 24
Answer: 110 degrees
Step-by-step explanation:
By the exterior angle theorem.
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
I’m not sure but you got thiss
Answer:
non-linear for the first one
-2 or linear either option should work this is for the second
Step-by-step explanation:
