Answer:
- attached graph
- Horizontal Asymptote: y = 5
- twon whole number points are (4,4) and (5,1)
Step-by-step explanation:
- Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote
y = -4^(x-4) + 5
= -4^(4-4) + 5
= -4^(0) + 5
= -1 + 5
= 4
y = -4^(x-4) + 5
= -4^(5-4) + 5
= -4^(1) + 5
= -4 + 5
= 1
The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
<h3>What is the angle about?</h3>
Part A:
Angle UZT is congruent to angle TZY.
Using the image attached figure, we can see that:
∠UZT = 54°
∠TZY = 54°
Hence one can say that ∠TZY = ∠UZT are both congruent angles.
Part B:
Angle VZW is congruent to angle YZX.
Using the image attached attached, we can see that:
∠VZW = 71°
∠YZX = 71°
Hence, ∠YZX = ∠VZW are both regarded as congruent angles .
Therefore, The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
Learn more about Angles from
brainly.com/question/14684194
#SPJ1
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
It's time to find the volume of cube that is ~
So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.
Just sayin' you shouldn't use up all ur points on one question