The distance between the points:
![d = \sqrt{( x_{2} - x_{1} ) ^{2} +(y _{2}-y _{1}) ^{2} } \\ d(CD) = \sqrt{(7-1) ^{2}+(10-2) ^{2} } = \\ = \sqrt{6 ^{2} +8 ^{2} }= \sqrt{100}=10](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%28%20x_%7B2%7D%20-%20x_%7B1%7D%20%29%20%5E%7B2%7D%20%2B%28y%20_%7B2%7D-y%20_%7B1%7D%29%20%5E%7B2%7D%20%20%20%7D%20%20%5C%5C%20d%28CD%29%20%3D%20%20%5Csqrt%7B%287-1%29%20%5E%7B2%7D%2B%2810-2%29%20%5E%7B2%7D%20%20%7D%20%3D%20%5C%5C%20%3D%20%5Csqrt%7B6%20%5E%7B2%7D%20%2B8%20%5E%7B2%7D%20%7D%3D%20%5Csqrt%7B100%7D%3D10%20%20%20%20)
Answer:
A ) Square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared.
x^2-16 factors to (x-4)(x+4)
You use the difference of squares rule here which is
a^2 - b^2 = (a-b)(a+b)
Answer:
????
Step-by-step explanation:
Answer:
The answer to your question is: letter B) 1/2
Step-by-step explanation:
Data
a = -2
b = 4
Equation
(1/2)a⁻⁴b²
Substitution
= (1/2)(-2)⁻⁴(4)²
= (1/2) (1 /2⁴)(4)²
= 1/2 (1/16) (16)
= 16 / 32
= 1 / 2
Answer:
![\large\boxed{a-b=11}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba-b%3D11%7D)
Step-by-step explanation:
![\text{Use}\ x^2-y^2=(x-y)(x+y).\\\\\text{We have}\\\\a^2-b^2=275\ \text{and}\ a+b=25.\\\\\text{Substitute:}\\\\275=(a-b)(25)\qquad\text{divide both sides by 25}\\\\\dfrac{(a-b)(25)}{25}=\dfrac{275}{25}\\\\\boxed{a-b=11}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%20x%5E2-y%5E2%3D%28x-y%29%28x%2By%29.%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%5C%5C%5Ca%5E2-b%5E2%3D275%5C%20%5Ctext%7Band%7D%5C%20a%2Bb%3D25.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C275%3D%28a-b%29%2825%29%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2025%7D%5C%5C%5C%5C%5Cdfrac%7B%28a-b%29%2825%29%7D%7B25%7D%3D%5Cdfrac%7B275%7D%7B25%7D%5C%5C%5C%5C%5Cboxed%7Ba-b%3D11%7D)