Answer:
g=-4
Step-by-step explanation:
2g+6-14g=-6(g-5)
-12g+6=-6g+30
-6g+6=30
-6g=24
g=-4
Answer:
100, 40, 40
Step-by-step explanation:
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Answer:
F, J, K
Step-by-step explanation:
The other choices are regarded as expressions not equations, in which you can find the value of the the given variable.
We have the expressions:
Now, with this we operate as follows:
a)
Then, the axis is x = -3 and the vertex (-3, 6)
b)
Then, the vertex is (2, 5) and the axis is x = 2.
c)
Then, the vertex is (2, -4) andd the axis is x = 2.
d)
Then, the vertex is (-7/2, -57/4) and the axis is -7/2.
