Answer:
23/21
Step-by-step explanation:
The slope is computed from ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (26 -3)/(18-(-3)) = 23/21
The slope of the trend line is 23/21.
Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n

This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n

Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
Learn more about functions at:
#LearnwithBrainly
The question has an error because the letter g does not make sense in the context.
I will assume that the g is really the number 9.
In that case, the equation to solve would be:

You can solve for x following these steps:
1) make

=>

2) Given that the basis are equal the exponents have to be equal =>
2x = 2(3x - 4)
3) Solve:
2x = 6x - 8
6x - 2x = 8
4x = 8
x = 8/4
x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.
Under that assumption, the answer is the option B) x = 2.
Answer:
-17/14
Step-by-step explanation:
To subtract fractions, you must have a common denominator. If that is not given, you make it.
You do so buy finding the LCM of denominators:
LCM of 7 and 2 = 14
Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:
2x2/14 - 3x7/14 = 4/14 - 21/14.
Now that you have the same denominator, subtract the numerators:
4-21 = - 17
Put it back as a fraction : -17/14
hope this helps.