Let the number be x.
Triple the number means 3x
add 6 means 3x + 6
subtract the number twice 3x + 6 - x - x
the result is the number plus 3 means that the result is x + 3
So, combining these into an equation, we get:
3x + 6 - x - x = x + 3
If we solve this equation for x, we will get:
x + 6 = x + 3
The x will cancel out and we will get : 6 = 3
Therefore, this is a false statement.
Answer:
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Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
<h2>
Answer:</h2>
First, we need to use <u><em>slope formula*</em></u> to find the slope.

Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.
Here is what we have so far:
I'm going to use this point:
Here is how to find <em>b</em>:

Finally, we put all of it together and we have our equation.

*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>
**Slope-intercept form: <em>y = mx + b</em>
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