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3 years ago

If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

3x + 2y = -2 

Step-by-step explanation:

Given Equation is − 2 x + 3 y = 12

3 y = 2 x + 12

y = ( 2 /3 ) y + 12

Slope of this line is m = 2/ 3 

Slope of Line A  m a = 2 

Slope of Line B m b = 2/ 3 

Slope of Line C m c = − ( 2 /3 ) 

Slope of Line D m d = − ( 3 /2 ) 

since m d = − 1 /m , D is perpendicular to the given line

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You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.

Ludmilka [50]

Answer:

The number of calories in 5.5 cups are 495.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be $x.$

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be $2:180.$

So, in 5.5 cups there are $x$ calories.

5.5 cups is equivalent to $x$ calories.

Thus, the ratio would be $5.5:x.$

Now, we set proportion to get the number of calories in 5.5 cups:

$2:180::5.5:x$

$\frac{2}{180} =\frac{5.5}{x}$

By cross multiplying we get:

$2x=990$

Dividing both sides by 2 we get:

$x=495$ .

Therefore, the number of calories in 5.5 cups are 495.

4 0

4 years ago

Please help do step by step I learn diff

Lesechka [4]

1.5 use a calculator

6 0

3 years ago

Read 2 more answers

Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

6 0

2 years ago

Read 2 more answers

On the graph shown, what is f(-1)? (5 points) The first segment joints the point negative three comma five exclusively and negat

tatiyna

ANSWER

$f( - 1) = 2$

EXPLANATION

The given function is a piecewise defined function.

$f( - 1)$
is the y-value that corresponds to
$x = - 1.$

To determine that y-value, we need to trace from
$x = - 1$
to where it meets the graph.

We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.

From the graph, we can see that this x-value corresponds to a y-value of
$2$

This implies that, when
$x = - 1,y = 2$

Therefore
$f( - 1) = 2$
See graph.

8 0

3 years ago

Jamie has a square mirror with side lengths of 6 inches.

Sophie [7]

Are we supposed to find the area? If so, It's 36 because 6 times 6 equals 36 :p Hope I helped.

8 0

4 years ago

Read 2 more answers