<span>To show that Circle 1 and Circle 2 are similar the Translation </span>and Dilation <span> should be applied.
</span><span>Transformation rule (2-(-4),(1,-5) ) =(6,-4)and then dilate it using a scale factor of (6/2=3).
</span>
Transformation rule (6,-4)and then dilate it using a scale factor of (3).
A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t =
≈ 8.5 in → A
Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
Answer:
3x-2y
Step-by-step explanation:
log10^(3x-2y)
We know the base is base 10 since it is not written
log10 10^(3x-2y)
The log10 10 cancels
3x-2y
Answer:
Per minute value fee would be the slope of the line.
Step-by-step explanation:
Given:
Per minute charges by the phone company = $ 0.50
Connection fee (fixed) charged by company = $ 1.0
We have to represent the total cost in terms of y and also explain the slope of the line.
According to the question:
Let the number of minutes be "x" .
And the total cost charged be "y" .
So,
The total cost = (No. of minutes)(Per minute charge) + Connection fee
Re-arranging in term of x and y.
⇒ 
⇒
...equation (i)
Slope- intercept form:
m is the slope and b is the y-is intercept.
⇒ Comparing equation (i) with the slope- intercept form.
⇒
and 
So,
The slope of the line is 0.50 which is also represented by the per minute value of the call.
Per minute value fee would be the slope of the line.