Answer:
3x² + 3x - 36=
(3x+12)(x-3)
x² - 3x - 28=
(x+4)(x-7)
Step-by-step explanation:
For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".
For more info on the cross method.
Here it is:
https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm
Hope you enjoyed :D
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
Negative i believe is the correct answer
<span>0.0001835 is the right answer after converting</span>
Answer:
In the most popular abroad country: 29,255 students
In the second-most one: 20,872 students
Step-by-step explanation:
Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.
