Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over ten years, how much was Natalie's
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Answer:
a = -2, h = 2, k = 1
Step-by-step explanation:
Compare the expressions. Match one pattern to the other.
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The transformations are ...
Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.
Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.
A table and graph are shown in the attachment.
Let x represent length of the stringer of the staircase.
We have been given that a builder makes staircases where each step is 29 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all the steps. We are asked to find the length of the stringer of the staircase.
The length of the stringer of the staircase will be equal to diagonal of right triangle with two legs 29 cm and 18 cm.
Using Pythagoras theorem, we will get:
Now we will take square root of both sides of equation.
Since length cannot be negative, therefore, the length of the stringer of the staircase would be approximately 34.13 cm.