Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Answer:
x = 50
Step-by-step explanation:
When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:
x + 96 = 146
x = 50
Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:
We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write
Thus, the simplified expression is 2x + 1
X intercept = -1, y = 0 (-1, 0)
<span>y intercept = 2, x = 0 (0, 2)
</span>
slope between (-1, 0) and (0, 2):
slope = (2 -0)/(0 - -1) = 2/1 = 2, m = 2
Using point (-1, 0) x₁ = -1, y₁ = 0
y - y₁ = m(x - x₁)
y - 0 = 2*(x - -1)
y = 2(x + 1)
y = 2x + 2
Answer:
The amount after 3 years of investment is $20763 .
Step-by-step explanation:
Given as :
The principal invested = p =$15,000
The rate of interest = r = 3% compounded annually
The time period = t = 11 years
Let The Amount after 3 years = $ A
<u>From Compounded method</u>
Amount = Principal × 
Or, A = p × 
Or, A = $15,000 × 
Or, A = $15,000 × 
Or, A = $15,000 × 1.3842
Or, A = $20763
So, Amount = A = $20763
Hence The amount after 3 years of investment is $20763 . Answer
