Step-by-step explanation:
if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10
Answer:
Slope: -3
Y intercept: (0, 9)
X intercept: (3, 0)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since the equation is y = -3x + 9, m is -3 and 9 is the y intercept.
So, the slope is -3 and the y intercept is at (0, 9)
To find the x intercept, plug in 0 as y and solve for x:
y = -3x + 9
0 = -3x + 9
-9 = -3x
3 = x
So, the x intercept is at (3, 0)
Answer:
y=1/7x
Step-by-step explanation:
The y-intercept is 0, so we can just ignore that, and the slope would be 1/7, because it goes 7 units of x to the right for each y value.
Slope intercept form: y=mx+b
b is the y-intercept
m is the slope
Hope this helps
Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
The correct answer is 3/10
