Step-by-step explanation:
if b+c=0
b=-c
x^b=x^-c
so
1/[2(x^b)+1]
−3b+2.5=4
Subtract 2.5 from both sides.
−3b+2.5−2.5=4−2.5
−3b=1.5
Divide both sides by -3.
−3b/−3 = 1.5/−3
b=−0.5
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>
How to get the measures of the other two sides of the right triangle?</h3>
Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
brainly.com/question/2217700
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TABLE D does NOT represent a linear function
<h2>
Explanation:</h2>
The Table is shown below. Each table is a relationship between two variables, namely x and y. By plotting each table in a graphing tool we get:
TABLE A, FIRST FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

TABLE C, SECOND FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

TABLE C, THIRD FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

TABLE D, FOURTH FIGURE:
It is not a linear function. It is likely this is a parabola that opens downward.
<h2>Learn more:</h2>
Linear function: brainly.com/question/12560127
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