WRONG
32^2-8x-159=0 because all you have to do is add the two 16x^2
The line DB is 8cm which is made up of DE and EB which are equal to each other, thus DE and DB are both 4 cm.
Secondly, since AC and DB are perpendicular, that means angle DEC and angle DEA are ninety degrees.
Thus using the Pythagorean theorem, we can find the length of AE and EC which we can add up to find the length of AC.
By adding AE and EC, we get that the length of AE and EC is 7.47 or as approximated to the nearest tenth 7.5.
Hope that helps!
ANSWER
Minimum value: y=-6
Occurs at: x=-4
EXPLANATION
Given
We need to write the equivalent of this function in vertex form:
where (h,k) is the vertex.
We must complete the square to get the function to this form.
We add and subtract the square of half the coefficient of x.
This gives us;
The first three terms form a perfect square quadratic trinomial.
or
Therefore we compare to
h=-4 and k=-6
The minimum value of the function is
and this occurs at;
Answer:
Step-by-step explanation:
-8(x-4)-1/4(12x-8)=
=-8x+32-1/4(4)(3x-2)=
=-8x+32-3x+2=-11x+34
-11x=-34
x=34/11=3 1/11
1 x^3 = b^9 / 125
x = b^3 / 5
2. x^2 = 1 /2.16
x = sqrt 1/2.16
x = +/- 0.68 to nearest hundredth