Answer:
$7.09
Step-by-step explanation:
$0.59(5) = $2.95
$2.49(4) = $9.96
$9.96 + $2.95 = $12.91
Subtract $12.91 from the original amount Johnny had.
$20 - $12.91 = $7.09
(you can use a calculator to check my answer if you want:)
Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.
1. Distance OD=distance OE, then:
.
2. Distance OD=distance OE, then:
.
Solve the system:
,
,
.
Then
.
Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.
Step-by-step explanation:
the red point is (4, -5).
so, y - (-5) = -1/7(x - 4)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
x = -5
, y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = -14 | (equation 1)
-2 x - y = 9 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{3 x + y = -14 | (equation 1)
0 x - y/3 = (-1)/3 | (equation 2)
Multiply equation 2 by -3:
{3 x + y = -14 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = -15 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -5
, y = 1
Answer:
127 from 35
127 - 35
92
Step-by-step explanation:
