10 x 20 = 200
30 + 20 = 50
200/50 = 4
answer
the quotient is 4
The formula to find surface area is SA= 2(L×W + L×H + H×W)
The 2 is there to double each side.
so..
A)
SA = 2(L×W + L×H + H×W)
= 2( 16×9 + 16×4 + 4×9)
= 2( 144 + 64 + 36)
= 2( 244)
= 488 units2
B) SA = 2(L×W + L×H + H×W)
= 2 ( 13×9 + 13×4 + 4×9)
=2 ( 117 + 52 + 36)
=2 ( 205)
SA= 410cm2
Answer is dilation and then reflection
Step-by-step explanation: It goes down at first so that dilation then it reflects to C.
Answer:
I'm in 8th grade too, It's easy to pass math, Just take a screenshot of your hw, then submit it, My math teacher doesn't care if I just submit it.
Step-by-step explanation:
Answer:
y = 2x + 1 ;
y - 3 = - 3(x - 1) ; y = - 3x + 6 ;
Independent ;
(1, 3)
Step-by-step explanation:
Given the data:
Sidewalk 1:
x __ y
2 _ 5
0 _ 1
Sidewalk 2:
x __ y
1 _ 3
3 _ -3
Equation for sidewalk 1 in slope - intercept form:
Slope intercept form:
y = mx + c
c = intercept ; m = slope
m = (change in y / change in x)
m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2
Y intercept ; value of y when x = 0
(0, 1) ; y = 1
Hence, c = 1
y = 2x + 1
Sidewalk 2:
Point slope form:
y - y1 = m(x - x1)
m = slope
m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3
Point (x1, y1) = (1, 3)
y - 3 = - 3(x - 1)
To slope intercept form:
y - 3 = - 3(x - 1)
y - 3 = - 3x + 3
y = - 3x + 3 + 3
y = - 3x + 6
Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.
Using substitution method :
y = 2x + 1 - - - (1)
y = - 3x + 6 - - - (2)
Substitute (1) into (2)
2x + 1 = - 3x + 6
2x + 3x = 6 - 1
5x = 5
x = 1
From (1)
y = 2(1) + 1
y = 2 + 1
y = 3
Coordinate of the point of intersection = (1, 3)
