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2 years ago

T-5 >3(-2+t) please help me

Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Answer:

t < 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: t < 1/2

Interval Notation: ( -infinity, 1/2)

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A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindf

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2 years ago

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What is the equation, in slope-intercept form, of the line

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Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

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Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

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Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

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