Step-by-step explanation:
<u>Formula</u><u> </u><u>U</u><u>s</u><u>e</u><u>d</u>
<u>By distance formula,</u>
- d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]
The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
The goal of this function is to get a positive value under the square root sign so that the value would not be invalid. Evaluating F(3,1), the value is 1 + <span>sqrt(4-1^2) or equal to 1 + sqrt of 3.</span> In this case, the domain would be x equal to any numbers and the range equal to numbers from -2 ≤ y ≤ 2.
Answer:
.90(85.00) would give the same result
Step-by-step explanation:
Rhonda is using the total cost of the item ($85.00) multiplied by the discount (10%) to find the total discount: 85 x 0.10 = 8.50. Once Rhonda subtracts the discount ($8.50) from the total: $85 - $8.50 = $76.50. The other way to look at the problem, is that Rhonda is only paying for 90% of the total cost of the items, instead of 100% since she is receiving the 10% discount. So, she would get the same final total by multiplying the cost of the items ($85.00) by 90%, or 0.90.
We are given a figure where M, N , O and P points are given.
We need to explain if points O, N, and P collinear or not.
Note: All co-linear points are in a straight line.
From the figure, we can see that <em>O and N points are in a straight line but point P is aside.</em>
So, the points O, N, and P are not collinear.
Therefore, correct option is "<u>No, the three points are not collinear</u>".
