You can use the Pythagorean Theorem:
a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)
So the equation is 2x^2=98 (simplest form) and x=7
Hope this helps
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.
(y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substitute the known variables.
(y - 18) = ((4 - 18)/(4 - 2))(x - 2)
Simplifying the equation,
y - 18 = -7(x - 2)
y = -7x + 32
<em>ANSWER: y = -7x + 32
</em>Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
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D. 30* Because This is definitely smaller than a 45 degree angle. If it was a bit wider it would be.
Answer:
r = 3x + 1
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here
πr² = π(9x² + 6x + 1) ← divide both sides by π
r² = 9x² + 6x + 1 ← perfect square
r² = (3x + 1)² , thus
r = 3x + 1
