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2 years ago

What’s the line contains the point (-5,7) and is perpendicular to a line with a slope of 5/3

Mathematics

2 answers:

inysia [295]2 years ago

7 0

Slope. perp. -3/5

y - 7 = -3/5(x + 5)

y - 7 = -3/5x - 3

y = -3/5x + 4

11Alexandr11 [23.1K]2 years ago

5 0

Answer:

$\large\boxed{y=-\dfrac{3}{5}+4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1,\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\===========================\\\\\text{We have}\ m_1=\dfrac{5}{3},\ \text{therefore}\ m_2=-\dfrac{1}{\frac{5}{3}}=-\dfrac{3}{5}.\\\\l:y=-\dfrac{3}{5}x+b\\\\\text{Put the coordinates of the point (-5, 7) to the equation of a line }\ l:\\\\7=-\dfrac{3}{5}(-5)+b\\\\7=3+b\qquad\text{subtract 3 from both sides}\\\\4=b\to b=4\\\\\text{Fimally we have the equation:}\\\\l:y=-\dfrac{3}{5}+4$

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sleet_krkn [62]

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2 years ago

What is the equation of a line passing through (-3,7) and having a slip of -1/5

MrRa [10]

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

$y=-\dfrac{1}{5}x+b$

Put the coordinates of the given point (-3, 7) to the equation:

$7=-\dfrac{1}{5}(-3)+b$

$7=\dfrac{3}{5}+b$ <em>subtract 3/5 from both sides</em>

$6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}$

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2 years ago

12x - 24 + 3x = 1/3x + 4 + 10x plz no link or spam (i will report you)

Sphinxa [80]

Answer:

x=6

15x - 24 = 1/3x + 4 + 10x

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45x - 31x = 12 + 72

14x = 84

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2 years ago

How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

andrezito [222]

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Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

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3 years ago

What is the first step you would take to solve the equation 1 1/2 + 2 1/3 = ?

sineoko [7]

The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.

<h3>How to determine the first step?</h3>

The equation is given as:

1 1/2 + 2 1/3 = ?

The terms in the equation are mixed numbers.

So, the first stem is to convert the mixed numbers to improper fractions

Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.