Good afternoon,
x= first odd integer
x+2 = second odd integer
x+4= third intenger
The sum of the trhree integer is 195, so:
x + (x+2) + (x+4) = 195
3x = 195 - 4 - 2
3x=189
x= 63
Then the Answer is: 63, 65 and 67
Answer:
On Graph B, at 0 seconds, the graph will be <u>0 or nothing.</u>
Then the graph will <u>increase</u> until 2 seconds.
<h2>
Greetings!</h2>
Answer:
y = 
Step-by-step explanation:
First, we need to rearrange the equation to make it y = mx + c
4x - y = 3
y + 3 = 4x
y = 4x -3
So the slope of the line is 4.
The slope of a line perpendicular to an equation is:
So the slope of the perpendicular line is:
= -0.25
Now to find the equation of a line you can use the following equation:
y - y₁ = m(x - x₁)
Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:
y₁ = 6
x₁ = -5
m =
y - 6 = (x - - 5)
To get rid of the fraction we need to multiply the whole equation by 4:
4y - 24 = -1(x - - 5)
The two negatives cancel out:
4y - 24 = -1(x + 5)
Multiply the brackets out:
4y - 24 = -x + 5
Now, to rearrange the formula back into y = mx + c
Move the -24 over to the other side making it a +24:
4y = 2x + 5 + 24
4y = 2x + 29
Divide everything by 4:
y = 
y =
<h2>Hope this helps!</h2>
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Answer:
3
Step-by-step explanation:
46/5 = 9.2
if you take the reverse of the square which is the square root of 9.2 you get about 3.
Thus proving that 3 squared times five is infact less then 46.
