Last season, your

The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

tester [92]

<h2><u>AnswEr :</u> </h2>

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

$\sf \: {6x}^{2} - 9x - 15 \\ \\ \leadsto \: \sf \: 3\bigg( {2x}^{2} - 3x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg( {2x}^{2} - 5x + 2x - 5 \bigg) \\ \\ \leadsto \: \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)$

Length of the rectangle is 2x - 5

Thus,

$\leadsto \: \sf \: (2x - 5)(3x + 3)$

<h3>The breadth of the rectangle is 3x + 3 </h3>

4 0

3 years ago

What is equivalent to (5x-6) (2x+3) ?

ioda

Option A, because you split the (2x + 3) into 2x and 3.

7 0

3 years ago

Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. Is she correct. Please explain why

sergiy2304 [10]

Answer:

No, she is not correct

Step-by-step explanation:

Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms

To check: whether she is correct or not.

Solution:

Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.

A parallelogram is a quadrilateral in which opposite sides are parallel.

Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.

So, she is not correct.

6 0

2 years ago

jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot

ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

$8x+6y=34 \ \ \ \ equation \ 1$

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

$14x+6y=46 \ \ \ \ equation \ 2$