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Dmitriy789 [7]
2 years ago
12

1. Given f (x) = -2x + 1, find f(-1)

Mathematics
2 answers:
DENIUS [597]2 years ago
6 0

Answer:

I think the answer is 3.

AleksandrR [38]2 years ago
4 0

Answer:

3

Step-by-step explanation:

plug in (-1) for x

-2(-1) + 1

2 + 1

3

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What is .275 in a fraction in simplest form?
serg [7]
0.275 275 is in the thousandths place, therefore the numerator will be 275 and the denominator will be 1000. 275/1000 is our new fraction, but we must simplify. 5 goes into both numbers, so 275 divided by 5 is 55 and 1000 divided by 5 is 200. 55/200 is our new fraction. We keep dividing by 5 until you can't anymore. So when that's done the simplified fraction is 11/40.
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Answer:

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-16=5+7x solve for x
goblinko [34]

Answer:

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Not parallel to y=6x+2
bija089 [108]

Hello there! A line that is not parallel to the line given, y = 6x+2, would have a slope value other than 6.

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3 0
3 years ago
The line l is tangent to the circle with equation x^2 + y^2=10 at the point P.
babunello [35]

Given:

The equation of a circle is

x^2+y^2=10

A tangent line l to the circle touches the circle at point P(1,3).

To find:

The equation of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is

m_1=\dfrac{3-0}{1-0}

m_1=\dfrac{3}{1}

m=3

We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times 3=-1

m=-\dfrac{1}{3}

The slope of line l is -\dfrac{1}{3} and it passs through the point P(1,3). So, the equation of line l is

y-y_1=m(x-x_1)

y-3=-\dfrac{1}{3}(x-1)

y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}

Adding 3 on both sides, we get

y=-\dfrac{1}{3}x+\dfrac{1}{3}+3

y=-\dfrac{1}{3}x+\dfrac{1+9}{3}

y=-\dfrac{1}{3}x+\dfrac{10}{3}

Therefore, the equation of line l is y=-\dfrac{1}{3}x+\dfrac{10}{3}.

4 0
2 years ago
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