Answer:
d = 16.88
Step-by-step explanation:
Start by simplifying both sides of the equation then isolate the variable
Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)
Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points,
D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
Answer:
f(x) = 4/7x + 20/7
Step-by-step explanation:
If we were to graph this function, we would see that the two points would be, (-5, 0), and (2, 4). First, we have to find the slope, which is equal to:
<u>(first y-coordinate - the second y coordinate)</u>
(first x-coordinate - second x coordinate)
= <u>(0 - 4)</u>
(-5 - 2)
= -4/-7 = 4/7. now, we multiple -5 by 4/7 and get -20/7. we have to add 20/7.
Thus, the answer is f(x) = 4/7x + 20/7
In 3 hours, the two planes will be 2,700 miles apart.
If in one hour, the planes get 900 miles apart, it will take 3 hours to become 2,700 miles apart.
《----- and -----》 Indicatethe planes moving in opposite directions.
The number indicate the distance traveled.
The amount of times the number is repeated indicates the amount of hours flown (ex.: 50+50+50+50 would indicate 4 hours flown because there are 4 50s in the sequence).
So
《-----300 + 600-----》
=900 miles in one hour
《------300+300 and 600+600-----》
=1,800 miles in 2 hours
《-----300+300+300 and 600+600+600-----》
=2,700 miles in 3 hours
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
