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
Answer:
slope
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Since m is the coefficient of the x- term, then
The coefficient of the x- term gives the slope
The answer is definitely 2.4>3x
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
<u><em>The correct picture of the question in the attached figure</em></u>
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
we have
△HFM∼△PST ----> given problem
step 1
Find the scale factor
Let
z ----> the scale factor
substitute the given values
step 2
Find the perimeter of triangle PST
Remember that the perimeter of a triangle is the sum of its three length sides
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
Answer:
Omar can make 16 dumplings with some dough to spare
Step-by-step explanation:
you should convert each value to have the same denominator to make the equation easier
3 and 1/14 cups is the same as 43/14 cups of dough
so the total 43/14 needs to be divided by 3/16
43/14 divided by 3/16 = 43/14 * 16/3
=688/42 = 16.3809...
so Omar can make 16 dumplings with some dough to spare
