Answer: multifly then divide
Step-by-step explanation:
Answer:
Following are the answer to this question:
Step-by-step explanation:
For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.
Given value:
Answer:
Roots is a fancy word for zero, which is also another fancy word for the x intercept.
You can factor a quad or use the quadratic equation to get zeros.
In this case, its non-factorable. So you gotta use the quadratic.
Using the quadratic equation you get : x = -2 ± √-1 (√5),
which can be rewritten as x = -2 ± i(√5)
Function was : x^2 + 4x + 9
For quad, I identified the following:
A = 1
B = 4
C = 9
I also added a picture of the formula in the attached.
Answer:
B. 12.16 inches
Step-by-step explanation:
Triangle MNP has two sides given as length 5 (MN) and 10 (PN). The third side (MP) must be longer than 10* and less than 10+5=15. There is only one answer choice in that range: 12.16.
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If we call the point of intersection of the diagonals X, then we know that NX = 8/2 = 4, and we can use the Pythagorean theorem to find MX and PX.
MX² +NX² = MN²
MX² + 4² = 5²
MX = √(25 -16) = 3
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PX² +NX² = PN²
PX² + 4² = 10²
PX = √(100 -16) = 2√21 ≈ 9.1652
Then ...
MP = MX +PX = 3 +9.1652 = 12.1652 ≈ 12.17 . . . . . matches selection B
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* The argument for the upper limit of MP comes from the triangle inequality. The argument for the lower limit comes from the observation that angle NMP is smaller than angle MNP, so side PN must be shorter than side MP. That is, MP must be greater than 10 inches.
Use a sum or difference identity to find the exact value of cos without a calculator. to work this, we look at the 75° to see if its the sum or difference of any angles from our reference triangles.now plug in values from your reference triangles.