Answer: 
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:
- Now you must subtract a² from each side of the equation, then you obtain:
- Apply square root to both sides:
Then:
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
Answer:
x = 23.4
Step-by-step explanation:
Answer:
aₙ = a₁ + (n-1)d
where:
aₙ = nth term
a₁ = first term
d = common difference
The sequence 8,9,10,-10 is not an arithmetic sequence.
Step-by-step explanation:
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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