Distance formula
D = √((x1 - x2)2 + (y1 - y2)2) We have three distances that we are dealing with. Between the Theater and the Park, between the Theater and the Pier, and between the Park and the pier. In both routes we have to go between the Theater and the Park. The distance between those is the same regardless of which way we go, so we can ignore doing the math for that. That leaves us two distances. Let's plug them in. Theater to PierD = √((0 - 10)2 + (3 - 9)2) = √(100 + 36) ≈ 11.6619 Park to PierD = √((2 - 10)2 + (1 - 9)2) = √(64 + 64) ≈ 11.3137 11.3 < 11.7
You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.
We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5
X = 7. Because both lines equal the same so it has to equal 75
11 x 7 = 77
77-2 = 75
X = 7
Answer:
see attached
Step-by-step explanation:
Each digit of the quotient is aligned with the least significant digit of the current dividend. The "current dividend" is that portion of the remaining dividend that is at least 1 and less than 10 times the divisor. The product of the quotient digit and the divisor is subtracted from the "current dividend" to get the remaining dividend.
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For many folks, the hardest part of this algorithm is determining the appropriate quotient digit, and multiplying that by the divisor. Some teachers teach that you start this process by making a list of the multiples of the divisor:
N . . . 28N
1 28
2 56
3 84
4 112
...
This process can be aided by your number sense.
2N is simply N added to itself.
3N is N+2N.
4N is double 2N
5N is half of 10N.
You can proceed to build the table by adding 28 to each previous value, or by recognizing doubles and halves and other sums.
