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3 years ago

Find the equation of the line through the points (-3,-3) and (2,-1) using point-slope form. Then rewrite the

Mathematics

1 answer:

IrinaVladis [17]3 years ago

3 0

Answer: See below

Step-by-step explanation:

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

$m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}$

Now that we have the slope, we can fill out the point-slope equation.

y-(-3)=2/5(x-(-3))

y+6=2/5(x+3)

This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.

y+6=2/5x+6/5

y=2/5x-24/5

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Solve the one-step equation -9 = u/-6

sladkih [1.3K]

Answer:

Step-by-step explanation:

-6 x 3 = -9

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3 years ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

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3 years ago

Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefin

Georgia [21]

1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2) converse of the given statement

conditional: If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

3) Inverse of the given statement

conditional: if a line is vertical, then it has undefined slope.

inverse: negate both hypothesis and conclusion.

if a line is not vertical, then it does not have an undefined slope <---answer

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3 years ago

Bello you have a great day

natita [175]

You too !! .......... :)

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3 years ago

Read 2 more answers

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solmaris [256]

Answer:

125 dollars will get