It is not necessary to have a common denominator when you multiply two fractions
<h3>How to determine the true statement?</h3>
The statement is about the relationship between the denominator of fractions when they are multiplied
Take for instance, we have the following fractions
a/b and x/y
In the above fractions, we have
Numerator = a and x
Denominator = b and y
Where b and y do not have the same value
When they are multiplied, we have
Product = ax/by
The denominators do not have the same value
And we were able to calculate the product
This means that the fraction denominator do not have to be common
Read more about fractions at
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<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.
43 i alredy learned that in school
I hope this helps you
QR=WS=2.93
RS=QW =2.04
QS=XR =2.28
RS=XQ=2.04
SY=QR =2.93
RY=QS =2.28
XY=XR+RY=2.28+2.28=4.56
XW=XQ+QW=2.04+2.04=4.08
WY=WS+SY=2.93+2.93=5.86
Perimeter of XYW=XW+WY+XY
Perimeter of XYW=4.08+5.86+4.56
Perimeter of XYW =14.5
Answer:
z = 29°
Step-by-step explanation:
We know that the 3 angles in a triangle always add up to 180°. So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).
angle A + angle B + angle C = 180°
59° + 92° + z = 180°
151° + z = 180°
Subtract 151° from both sides of the equation
z = 180° -151°
z = 29°