Given:
The triangle is ΔABC.
The coordinates of the ΔABC are A(1,1), B(1.5,3) and C(2,1).
To find the the coordinates of the point C after the dilation with a scale factor of 2 centered at the origin.
Formula:
The coordinate to dilate a factor of c from the origin is given by 
Therefore,
Applying the above rule for C(2,1) is dilated by scale factor of 2 centered at origin we get,
After simplification we get,
Hence,
The coordinate of C after dilation is (4,2).
Thus, Option B is the correct answer.
Answer:
m = 11
Step-by-step explanation:
Given
(m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
Answer:
5 miles
Step-by-step explanation:
since there were two people, 2x1=2
12-2=10
since its 2$ a mile
10 divided by 2 = 5
You're welcome
Answer:
2000000
Step-by-step explanation:
:)
That's going to depend a lot on what you want to "do" to it.
I'm going to assume that you want to find a number for 'x' that makes
the whole equation a true statement. Here's how I would do it:
<u> 5 ln(x) = 35</u>
Divide each side by 5: ln(x) = 35/5
ln(x) = 7
Raise 'e' to the power of each side: e^[ ln(x) ] = e⁷
But e^[ ln(x) ] is just 'x'. So x = e⁷ = <em>1,096.633...</em> (rounded)
That's the only number you can write in place of 'x'
and make the original equation true.
