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4 years ago

7

Prove that if (a, b) and (c, d) are two distinct points, the line joining them is perpendicular to the line joining (b, c) and (

d, a)

1 answer:

Alex787 [66]4 years ago

3 0

First, find the slopes of each line. This is (b-d)/(a-c) and (b-s)/(c-a). Since the product is -1, they are perpendicular.

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Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas

Svetlanka [38]

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

$\Rightarrow 3b+2b+2\times0.75=4.5$

$\Rightarrow 5b +1.5=4.5$

$\Rightarrow 5b =4.5-1.5=3$

$\Rightarrow b =\frac 3 5=0.6$

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

8 0

3 years ago

-2x+2>3x-8<br><br> 50 points

Blababa [14]

Given:

The inequality is

$-2x+2>3x-8$

To find:

The solution of the given inequality.

Solution:

We have,

$-2x+2>3x-8$

Isolate the variables terms on the left side.

$-2x-3x>-2-8$

$-5x>-10$

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

$\dfrac{-5x}{-5}$

$x$

Therefore, the correct option is D.

5 0

3 years ago

Show all ways you can use to find the area of the rectangle

marin [14]

• WxL (width multiplied by length)!l
• creating a two right angled triangles, finding the area through the Pythagoras theorem for both triangles and then add both areas together

6 0

3 years ago

Find y' if x = tan(y)

Travka [436]

Use the chain rule:

$x=\tan y$
$\dfrac{\mathrm d}{\mathrm dx}x=\dfrac{\mathrm d}{\mathrm dx}\tan y$
$1=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}$
$1=\sec^2y\,y'$
$y'=\dfrac1{\sec^2y}=\cos^2y$

Furthermore, if you restrict the domain of $y$ , we could write

$x=\tan y\iff \tan^{-1}x=y$

and so we could also have

$y'=\cos^2(\tan^{-1}x)=\left(\dfrac1{\sqrt{x^2+1}}\right)^2=\dfrac1{x^2+1}$

5 0

4 years ago

The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown belo

Mashutka [201]

Answer: 10.00

Step-by-step explanation:

You had to multiply and divide and see what you get.

6 0

3 years ago

Read 2 more answers