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Nastasia [14]
3 years ago
10

Graph the line with the equation y = 1/6x + 5

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Step-by-step explanation: hope it helps!

oksian1 [2.3K]3 years ago
5 0

Answer:

0,5 and 6,6

Step-by-step explanation:

In the equation, 5 is the y-intercept and 1/6 is the slope.

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3 years ago
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
kondaur [170]
The length of the side joining points (-3, -1) and (1, 3) is given by

l= \sqrt{(1+3)^2+(3+1)^2}  \\  \\ = \sqrt{4^2+4^2} = \sqrt{16+16}  \\  \\ = \sqrt{32}

The length of the side joining points (1, 3) and (3, 1) is given by

w= \sqrt{(3-1)^2+(1-3)^2} \\ \\ = \sqrt{2^2+(-2)^2} = \sqrt{4+4} \\ \\ = \sqrt{8}

The area of a rectangle is given by length times width.

Thus, the area of the given rectangle is given by

Area=l\times w \\  \\ = \sqrt{32} \times \sqrt{8}  \\  \\ = \sqrt{32\times8} = \sqrt{256}  \\  \\ =\bold{16} \ units^2
7 0
3 years ago
Read 2 more answers
Answer the 21st one. this question is from the chapter exponents and powers.
Mila [183]

Answer: 729


Step-by-step explanation:

Move items with negative exponents from numerator to denominator or vice versa and change sign of exponent. Factorize composite numbers, say 10^3 = 2^3 × 5^3 and 81 = 3^4. Combine factors with same base, adding exponents. Cancel factors appearing in both numerator and denominator, subtracting exponents.


5^-3×6^-5×81×4/(3^-7×10^-3)

= 3^7×10^3×81×4/(5^3×6^5)

= 3^7×2^3×5^3×3^4×2^2/(5^3×2^5×3^5)

= 2^5×3^11×5^3/(2^5×3^5×5^3)

= 3^6

= 729


4 0
3 years ago
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