Answer:25 /77
Step-by-step explanation:
77 x - 8 = 17
Collect like terms
77 x = 17 + 8
x= 25 /77
First you must distribute the minus sign to the number bolded bellow:
(-7 + 3i) - (2 - 6i)
(-7 + 3i) + (-2 + 6i)
-7 + 3i - 2 + 6i
Now you must combine like terms. Imaginary numbers can only combine with imaginary and real number can only be combined with real numbers:
(-7 + (-2) ) + (3i + 6i)
-9 + 9i
I hope this helped! Let me know if you have any questions :)
~ Just a girl in love with Shawn Mendes
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:

Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:

C) it is a closed figure made up of straight lines.