Take 20 and divide it by 4 and you get 5mm squared .
There are four sides so take the total which is 20 mm and divide it by the sides to get one side.
Answer is 5mm squared
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
Answer:
C. -8x + 10
Step-by-step explanation:
-2(3x + x - 5)
Combine like terms
= -2(4x - 5)
Distributive property
= -8x + 10
Answer:
So there are 3 distinct cubes.
Step-by-step explanation:
There are total six sides of the cube.
if we observe the given data and fix the sides of the cube by the color
So,
let suppose,
Blue color is painted on the top side of the cube
Now, we have left 5 sides
as per the information 2 sides are painted by Red color
let suppose,
1 Red color is painted on bottom side And 1 is on side
Now, we have left 3 sides
And 3 sides are green as per the given information.
1 green color painted on the adjacent side of the red side
1 green side is opposite of red side.
and 1 opposite of green side.
Now all side are colored and if we observe the above scenario
All other possibilities can be rotated to one of these.
So there are 3 distinct cubes.
Answer:
The point that divides the directed line segment from J to K into a ratio of 5:1 is (6, 0), its y-coordinate is 0.
Step-by-step explanation:
We take J as point one, with coordinates (x1, y1) = (1, -10) and K as point two with coordinates (x2, y2) = (7, 2)
The "run" is the change in the x-coordinates: x2 - x1 = 7 - 1 = 6
The "rise" is the change in the y-coordinates: y2 - y1 = 2 - (-10) = 12
For the partition ratio, let the numerator = a and the denominator = b.
The coordinates of the point P (x, y), which divides the directed line segment from J to K into a ratio of 5:1 is:
x = x1 + a/(a+b)*run
x = 1 + 5/(5+1)*6
x = 6
y = y1 + a/(a+b)*rise
y = -10 + 5/(5+1)*12
y = 0
