Question: 2x - 4 + 5x
Simplified: 7x - 4
Answer:
Slope = 
Step-by-step explanation:
Slope of a straight line passing two points
and
is given by the formula,
m = 
From the graph attached,
Line is passing through two points (20, 5) and (80, 20),
Therefore, slope of the line will be,
m = 
m = 
The slope is
.
Answer:
24
Step-by-step explanation:
Since the ladder, wall, and ground form a right triangle, you can use this formula:
A squared + B squared = C squared
A = 7 feet
C = 25 feet
B = distance the ladder will reach
49 + B squared = 625
B squared = 625 - 49
B = square root of 576
B = 24 feet
Answer:
16 tricycles
12 bicycles
Step-by-step explanation:
If all were bicycles, there would be 28·2 = 56 wheels. Each additional wheel indicates the presence of a tricycle instead of a bicycle.
There are 72 -56 = 16 tricycles. The remaining 28-16 = 12 are bicycles.
Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25