Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)
midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
= ((12/2) , (-2,2))
= (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
= (-17/2, 18/2)
= (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
= (-3/2), (4 + 6)/2
= (-1.5,5)
y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3
y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2
y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs
Ok so for number 1, Gabe makes $13.50 an hour. This is because if you divide
meaning that he makes 13.50 per hour.
for number 2, since Jordan makes $3 more, you add that to the 13.50 which gives you 16.50. so then you would multiply 16.50 by the number of hours he worked. for example if he worked 4 hours it would be
so he made $66 when he worked for 4 hours
Answer:
i think it would be A. 180%
plz correct me if im wrong
Step-by-step explanation:
Answer:
x = -2, y =-2
Step-by-step explanation:
5x - 6y = 2
-5x - 5y = 20
Add the two equations together to eliminate x
5x - 6y = 2
-5x - 5y = 20
------------------------
-11y = 22
Divide by -11
-11y/-11 = 22/-11
y = -2
Now we can find x
5x -6(-2) =2
5x +12 = 2
Subtract 12 from each side
5x +12-12 =2-12
5x = -10
Divide by 5
5x/5 = -10/5
x = -2
Answer:
Answer: 630
Step-by-step explanation: 18 feet tall is the gateway arch . The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St