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2 years ago

Which is the equation of a line that has a slope of -2/3 ans passes through the point (-3, -1)

Mathematics

1 answer:

kupik [55]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - $\frac{2}{3}$ , hence

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y = - $\frac{2}{3}$ x - 3 ← is the equation of the line

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A rectangle has an area of 36 inches squared. Write an equation to show how the length (l) varies inversely the width (w).

Anastaziya [24]

Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36

Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.

Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x

8 0

3 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

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2 years ago

I’m new to this app so I don’t know how to give more points but I would appreciate it if you could help

faust18 [17]

Hi! The answer would be all real numbers!

Hope this helps! :)

8 0

2 years ago

Please Help Me as soon as possible

disa [49]

Answer:

B bc 3 would be in between x and 5, and x equals 0

Step-by-step explanation:

hopefully this helped! :)

3 0

2 years ago

Read 2 more answers

Which equation shows how to use equivalent fractions to evaluate 4/5-2/3

Alecsey [184]

B

Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.

8 0

2 years ago