Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.
-2(2x-1/2)/3 <= 1/5x-1
-2(2x-1/2)/3 <= x/5-1
-10(2x-1/2)<= 3x-15
-20x+5<=3x-15
5<=3x-15+20
5<=23x-15
5+15<=23x
20<=23
20/23 <=x
x>=20/23
Decimal Form: 0.869565
Answer:
20 units
Step-by-step explanation:
The polygon has 4 vertices as indicated by the 4 coordinate points given.
(3, 1) and (8, 1) is a horizontal side of length 8 - 3 = 5
Similarly
(3, 6) and (8, 6) is the opposite horizontal side of length 8 - 3 = 5
Points (3, 1) and (3, 6) is a vertical side of length 6 - 1 = 5
(8, 1) and (8, 6) is the opposite side of length 6 - 1 = 5
The polygon is therefore a square of side 5 units.
Perimeter = 4 × 5 = 20 units
Answer:
What equation? Here’s a big tip for you, equations contain an ‘equals sign’ (‘=’) and something that they are equal to. I’m assuming your equation is:
ax2+bx+c=0
I’m going to use p and q for the roots of the equation as they are easier to type than α and β . Thus we have:
a(x−p)(z−q)=0⇒ax2−a(p+q)x+apq=0
Equating coefficients with our initial equation:
x1 : b=−a(p+q)⇒p+q=−ba
x0 : c=apq⇒pq=ca
Now p2+q2=p2+2pq+q2−2pq=(p+q)2−2pq
=(−ba)2−2ca
=b2a2−2ca
=b2−2aca2
