Write an equation in the slope -intercept form for the line with slope 2/5 and y intercept -8
1 answer:
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We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure
Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:
We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:
This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 5:
So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:
Multiply and add:
So, Jason has $58.20 and Jeff has $13.80.
And we're done!
Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:
The arithmetic sequence is given by:
Putting the values
Hence,
The function will be: f(n) = 2n