All categories

3 years ago

A student factors 10x^2+3x-27 to the following. (2x-3)(5x+9)

Mathematics

2 answers:

bearhunter [10]3 years ago

8 0

Answer:

Step-by-step explanation:

The form (2x-3)(5x+9) is fully factored. To determine if it is equivalent, multiply the parenthesis out.

(2x-3)(5x+9) = 10x² - 15x + 18x - 27 = 10x² + 3x - 27

Yes this is equivalent.

The solution is A.

Aleonysh [2.5K]3 years ago

7 0

Answer:

Option A - The expression is equivalent, but it is completely factored

Step-by-step explanation:

Given : A student factors $10x^2+3x-27$ to the following (2x-3)(5x+9).

To find : Which statement is true about (2x-3)(5x+9) is true?

Solution :

First we are factoring the given quadratic equation,

$10x^2+3x-27=0$

Applying middle term split,

$10x^2+18x-15x-27=0$

$2x(5x+9)-3(5x+9)=0$

$(2x-3)(5x+9)=0$

We have seen that the expression is completely factored and equivalent to given factor.

Therefore,Option A is correct.

The expression is equivalent, but it is completely factored.

You might be interested in

A square has a side length of 18 centimeters what is it’s perimeter

NARA [144]

The perimeter is 72 because all sides on a square are the same measurements so you just have to do 18 times 4 to get 72

3 0

3 years ago

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

soldier1979 [14.2K]

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

$ZY=BC+XC$

$5=BC+3$

$2=BC$

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{2}{5}$

$\frac{4\times 5}{2}=XY$

$10=XY$

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

$ZY=BC-XC$

$5=BC-3$

$8=BC$

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{8}{5}$