Answer:
Should be 2, -5
Step-by-step explanation:
you flip –2, 5 along y axis, then get 2, 5
then flip 2, 5 along x axis and get 2, -5
feel free to correct
Answer:
y = -3/2 x +5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
m= (8--1)/(-2-4)
m= (8+1)/(-2-4)
m= (9/-6)
m=-3/2
point slope form
y-y1=m(x-x1)
y--1 = -3/2(x-4)
distribute
y+1 = -3/2x +3/2 *4
y+1 = -3/2x + 6
subtract 1 from each side
y = -3/2 x +6-1
y = -3/2 x +5
this is in slope intercept form (y=mx+b)
Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
If Mr. Koppel only has $10.00 to spend on gas, and the gas is $1.49 a gallon. We will have to divide $10 into 1.49.
10 ÷ 1.49 = 6.7
So, Mr. Koppell will be able to buy 6.7 gallons of gas with his $10.00.
Hope this helps. :)