How is a one-degree angle helpful in classifying angles?

Mathematics

1 answer:

Oksana_A [137]3 years ago

4 0

It is helpful by knowing it has at least one acute angle

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Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the m

trapecia [35]

There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2

Step-by-step explanation:

let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2

3 0

3 years ago

Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)

Katen [24]

Answer:

$\large\boxed{y=-2x+14}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).$