We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4
I hope my explanation helps
The distance between the school and the library is less. Then the library is closer to school.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
On one map of a town, the scale from the town to the map is 12mi:3cm.
The school is 2.5cm from the grocery store on this map.
Then the distance between the school and the grocery store will be
⇒ (12 / 3) x 2.5
⇒ 10 miles
On a different map of the same town, the scale from the town to the make is 12mi: 2cm.
The school is 1.5cm from the library on that map.
Then the distance between the school and the library will be
⇒ (12 / 2) x 1.5
⇒ 9 miles
Thus, the distance between the school and the library is less.
Then the library is closer to school.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ1
Answer:
Step-by-step explanation:
the first one cant be a triangle
im pretty sure the second one can
the third one can
im pretty sure the fourth one cant
Assume that the length of the rectangle is "l" and that the width is "w".
We are given that:
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II
Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15
Substitute with w in equation I to get the length as follows:
l = 2w + 1
l = 2(15) + 1
l = 30 + 1 = 31
Based on the above calculations:
length of base = 31 cm
width of base = 15 cm