Answer:
point - slope form: y+1 =2(x+2)
slop - intercept form: y =2x +3
standard form : 2x -y = -3 or -2x+y = 3
Step-by-step explanation:
find slope from given points using slope formula y₂ -y₁ / x₂ -x₁
slope m =5-(-1)/1-(-2) =6/3 =2
point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so
y - (-1) = 2(x -(-2))
y+1 =2(x+2)
slop - intercept form is y =mx +b where m is a slope and b is y intercept
now if you rearrange y+1 =2(x+2) as y =......
y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3
standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be
2x -y = -3
graphing is done by using slop - intercept form: y =2x +3
pick 2 points and draw the line; use given points
Answer:
y= 1200(0.92)^x
Step-by-step explanation:
Given data
Cost price= $1200
Rate of decrease= 8%
Let the time be x
The expression that describes an exponential function is
y= ab^x
for decrease b= 1-r
y= 1200(1-0.08)^x
y= 1200(0.92)^x
Hence the expression is
y= 1200(0.92)^x
Answer:
x=52°
Step-by-step explanation:
∠LNP+142°=180°
∠LNP=180°-142°
= 38°
∠LMN=x
x+90°+38°=180°
x+128°=180°
x=180°-128°
=52°
Answer:
r = 55°, s = 25°, t = 30°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Sum the 4 angles in the top quadrilateral and equate to 360
r + 100° + 110° + 95° = 360°
r + 305° = 360° ( subtract 305° from both sides )
r = 55°
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° in the left triangle for s
s = 180° - (100 + 55)° = 180° - 155° = 25°
Similarly for the triangle on the right for t
t = 180° - 95 + 55)° = 180° - 150° = 30°
Answer:
10 cars and one motorcycle
Step-by-step explanation:
